Table of contents for issues of Lecture Notes in Mathematics

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Volume 1064, 1984
Volume 1109, 1985
Volume 1110, 1985
Volume 1111, 1985
Volume 1112, 1985
Volume 1113, 1985
Volume 1114, 1985
Volume 1115, 1985
Volume 1116, 1985
Volume 1117, 1985
Volume 1118, 1985
Volume 1119, 1985
Volume 1120, 1985
Volume 1121, 1985
Volume 1122, 1985
Volume 1123, 1985
Volume 1124, 1985
Volume 1125, 1985
Volume 1126, 1985
Volume 1127, 1985
Volume 1128, 1985
Volume 1129, 1985
Volume 1130, 1985
Volume 1131, 1985
Volume 1132, 1985
Volume 1133, 1985
Volume 1134, 1985
Volume 1135, 1985
Volume 1136, 1985
Volume 1137, 1985
Volume 1138, 1985
Volume 1139, 1985
Volume 1140, 1985
Volume 1141, 1985
Volume 1142, 1985
Volume 1143, 1985
Volume 1144, 1985
Volume 1145, 1985
Volume 1146, 1985
Volume 1147, 1985
Volume 1148, 1985
Volume 1149, 1985
Volume 1150, 1985
Volume 1151, 1985
Volume 1152, 1985
Volume 1153, 1985
Volume 1154, 1985
Volume 1155, 1985
Volume 1156, 1985
Volume 1157, 1985
Volume 1159, 1985
Volume 1160, 1985
Volume 1161, 1985
Volume 1162, 1985
Volume 1163, 1985
Volume 1164, 1985
Volume 1165, 1985
Volume 1166, 1985
Volume 1167, 1985
Volume 1168, 1985
Volume 1169, 1985
Volume 1170, 1985
Volume 1171, 1985
Volume 1172, 1985
Volume 1173, 1985
Volume 1158, 1986
Volume 1174, 1986
Volume 1175, 1986
Volume 1176, 1986
Volume 1177, 1986
Volume 1178, 1986
Volume 1179, 1986
Volume 1180, 1986
Volume 1181, 1986
Volume 1182, 1986
Volume 1183, 1986
Volume 1184, 1986
Volume 1185, 1986
Volume 1186, 1986
Volume 1187, 1986
Volume 1188, 1986
Volume 1189, 1986
Volume 1190, 1986
Volume 1191, 1986
Volume 1192, 1986
Volume 1193, 1986
Volume 1194, 1986
Volume 1195, 1986
Volume 1196, 1986
Volume 1197, 1986
Volume 1198, 1986
Volume 1199, 1986
Volume 1200, 1986
Volume 1201, 1986
Volume 1202, 1986
Volume 1203, 1986
Volume 1204, 1986
Volume 1205, 1986
Volume 1206, 1986
Volume 1207, 1986
Volume 1208, 1986
Volume 1209, 1986
Volume 1210, 1986
Volume 1211, 1986
Volume 1212, 1986
Volume 1213, 1986
Volume 1214, 1986
Volume 1215, 1986
Volume 1216, 1986
Volume 1217, 1986
Volume 1218, 1986
Volume 1219, 1986
Volume 1220, 1986
Volume 1221, 1986
Volume 1222, 1986
Volume 1223, 1986
Volume 1224, 1986
Volume 1225, 1986
Volume 1226, 1986
Volume 1227, 1986
Volume 1228, 1986
Volume 1229, 1986
Volume 1230, 1986
Volume 1231, 1986
Volume 1232, 1986
Volume 1234, 1986
Volume 1233, 1987
Volume 1235, 1987
Volume 1236, 1987
Volume 1237, 1987
Volume 1238, 1987
Volume 1239, 1987
Volume 1240, 1987
Volume 1241, 1987
Volume 1242, 1987
Volume 1243, 1987
Volume 1244, 1987
Volume 1245, 1987
Volume 1246, 1987
Volume 1247, 1987
Volume 1248, 1987
Volume 1249, 1987
Volume 1250, 1987
Volume 1251, 1987
Volume 1252, 1987
Volume 1253, 1987
Volume 1254, 1987
Volume 1255, 1987
Volume 1256, 1987
Volume 1257, 1987
Volume 1258, 1987
Volume 1259, 1987
Volume 1260, 1987
Volume 1261, 1987
Volume 1262, 1987
Volume 1263, 1987
Volume 1264, 1987
Volume 1265, 1987
Volume 1266, 1987
Volume 1267, 1987
Volume 1268, 1987
Volume 1269, 1987
Volume 1270, 1987
Volume 1271, 1987
Volume 1272, 1987
Volume 1273, 1987
Volume 1274, 1987
Volume 1275, 1987
Volume 1276, 1987
Volume 1277, 1987
Volume 1278, 1987
Volume 1279, 1987
Volume 1280, 1987
Volume 1281, 1987
Volume 1282, 1987
Volume 1283, 1987
Volume 1284, 1987
Volume 1285, 1987
Volume 1286, 1987
Volume 1287, 1987
Volume 1288, 1987
Volume 1289, 1987
Volume 1290, 1987
Volume 1291, 1987
Volume 1292, 1987
Volume 1293, 1987
Volume 1294, 1987
Volume 1295, 1987
Volume 1296, 1987
Volume 1297, 1987
Volume 1298, 1987
Volume 1300, 1988
Volume 1301, 1988
Volume 1302, 1988
Volume 1303, 1988
Volume 1304, 1988
Volume 1305, 1988
Volume 1306, 1988
Volume 1307, 1988
Volume 1308, 1988
Volume 1309, 1988
Volume 1310, 1988
Volume 1311, 1988
Volume 1312, 1988
Volume 1313, 1988
Volume 1314, 1988
Volume 1315, 1988
Volume 1316, 1988
Volume 1317, 1988
Volume 1318, 1988
Volume 1319, 1988
Volume 1320, 1988
Volume 1321, 1988
Volume 1322, 1988
Volume 1323, 1988
Volume 1324, 1988
Volume 1325, 1988
Volume 1326, 1988
Volume 1327, 1988
Volume 1328, 1988
Volume 1329, 1988
Volume 1330, 1988
Volume 1331, 1988
Volume 1332, 1988
Volume 1333, 1988
Volume 1334, 1988
Volume 1335, 1988
Volume 1336, 1988
Volume 1337, 1988
Volume 1338, 1988
Volume 1339, 1988
Volume 1340, 1988
Volume 1341, 1988
Volume 1342, 1988
Volume 1343, 1988
Volume 1344, 1988
Volume 1345, 1988
Volume 1346, 1988
Volume 1347, 1988
Volume 1348, 1988
Volume 1349, 1988
Volume 1350, 1988
Volume 1351, 1988
Volume 1352, 1988
Volume 1353, 1988
Volume 1354, 1988
Volume 1356, 1988
Volume 1357, 1988
Volume 1358, 1988
Volume 1359, 1988
Volume 1361, 1988
Volume 1362, 1988
Volume 1355, 1989
Volume 1363, 1989
Volume 1364, 1989
Volume 1365, 1989
Volume 1366, 1989
Volume 1367, 1989
Volume 1368, 1989
Volume 1369, 1989
Volume 1370, 1989
Volume 1371, 1989
Volume 1372, 1989
Volume 1373, 1989
Volume 1374, 1989
Volume 1375, 1989
Volume 1376, 1989
Volume 1377, 1989
Volume 1378, 1989
Volume 1379, 1989
Volume 1380, 1989
Volume 1381, 1989
Volume 1382, 1989
Volume 1383, 1989
Volume 1384, 1989
Volume 1385, 1989
Volume 1386, 1989
Volume 1387, 1989
Volume 1388, 1989
Volume 1389, 1989
Volume 1390, 1989
Volume 1391, 1989
Volume 1392, 1989
Volume 1393, 1989
Volume 1394, 1989
Volume 1395, 1989
Volume 1396, 1989
Volume 1397, 1989
Volume 1398, 1989
Volume 1399, 1989
Volume 1401, 1989
Volume 1402, 1989
Volume 1403, 1989
Volume 1404, 1989
Volume 1405, 1989
Volume 1406, 1989
Volume 1407, 1989
Volume 1408, 1989
Volume 1409, 1989
Volume 1410, 1989
Volume 1411, 1989
Volume 1412, 1989
Volume 1413, 1989


Lecture Notes in Mathematics
Volume 1064, 1984

    Léonard Gallardo and   
               Olivier Gebuhrer   Lois de probabilité infiniment divisibles
                                  sur les hypergroupes commutatifs,
                                  discrets, dénombrables. (French) [] . . . 116--130


Lecture Notes in Mathematics
Volume 1109, 1985

                R. Azencott and   
                        H. Doss   L'Équation de Schrödinger quand $h$ tend
                                  vers zéro; une approche probabiliste.
                                  (French) [Schrödinger's equation when $h$
                                  tends toward zero: a probabilistic
                                  approach]  . . . . . . . . . . . . . . . 1--17
               Albert Badrikian   Réarrangement Gaussien de fonctions.
                                  (French) []  . . . . . . . . . . . . . . 18--31
                   F. Bentosela   Electrons of a solid in an external
                                  electric field . . . . . . . . . . . . . 32--38
                J. Bertrand and   
                      G. Rideau   An intrinsic approach to the evolution
                                  of quantum observables in terms of
                                  stochastic processes on phase space  . . 39--54
               Detlef Dürr   Diffusions and central limit theorems    55--67
                  Werner Kirsch   Random Schrödinger operators and the
                                  density of states  . . . . . . . . . . . 68--102
                        Y. Levy   Ergodic properties of the Lozi map . . . 103--116
                        R. Lima   Propriétés spectrales pour des
                                  hamiltoniens presque-périodiques.
                                  (French) []  . . . . . . . . . . . . . . 117--135
              Pierre Moussa and   
                  Daniel Bessis   A solvable almost periodic Schrödinger
                                  operator . . . . . . . . . . . . . . . . 136--147
                       P. Picco   On the absence of breakdown of symmetry
                                  for the plane rotator model with long
                                  range unbounded random interaction . . . 148--154
              W. von Waldenfels   Stratonovich solution of a quantum
                                  stochastic differential equation
                                  describing light emission and absorption 155--176
                Volker Wihstutz   Analytic expansion of Lyapunov exponents
                                  associated to the Schrödinger operator    177--188
               S. Albeverio and   
              Ph. Blanchard and   
          R. Hòegh-Krohn   Reduction of non linear problems to
                                  Schrödinger or heat equations: Formation
                                  of Kepler orbits, singular solutions for
                                  hydrodynamical equations . . . . . . . . 189--206
               S. Albeverio and   
              Ph. Blanchard and   
                F. Gesztesy and   
                      L. Streit   Quantum mechanical low energy scattering
                                  in terms of diffusion processes  . . . . 207--227


Lecture Notes in Mathematics
Volume 1110, 1985

                  Ryszard Jajte   Introduction . . . . . . . . . . . . . . 1--3
                  Ryszard Jajte   Almost uniform convergence in von
                                  Neumann algebras . . . . . . . . . . . . 4--10
                  Ryszard Jajte   Ergodic theorems . . . . . . . . . . . . 11--56
                  Ryszard Jajte   Convergence of conditional expectations
                                  and martingales in von Neumann algebras  57--80
                  Ryszard Jajte   Strong laws of large numbers in von
                                  Neumann algebras . . . . . . . . . . . . 81--105


Lecture Notes in Mathematics
Volume 1111, 1985

                      A. Connes   Introduction to non commutative
                                  differential geometry  . . . . . . . . . 3--16
                  G. Harder and   
                 N. Schappacher   Special values of Hecke $L$-functions
                                  and abelian integrals  . . . . . . . . . 17--49
                     Joe Harris   An introduction to infinitesimal
                                  variations of Hodge structures . . . . . 51--58
                   Yu. I. Manin   New dimensions in geometry . . . . . . . 59--101
                 Michael Atiyah   Commentary on the article of Manin . . . 103--109
         Heinz-Otto Peitgen and   
               Peter H. Richter   The Mandelbrot set in a model for phase
                                  transitions  . . . . . . . . . . . . . . 111--134
                Wilfried Schmid   Recent developments in representation
                                  theory . . . . . . . . . . . . . . . . . 135--153
                    G. B. Segal   Loop groups  . . . . . . . . . . . . . . 155--168
                   Yum-Tong Siu   Some recent results in complex manifold
                                  theory related to vanishing theorems for
                                  the semipositive case  . . . . . . . . . 169--192
                   Jacques Tits   Groups and group functors attached to
                                  Kac--Moody data  . . . . . . . . . . . . 193--223
                      D. Zagier   Modular points, modular curves, modular
                                  surfaces and modular forms . . . . . . . 225--248
                 Michael Atiyah   Eigenvalues of the Dirac operator  . . . 251--260
                    W. Ballmann   Manifolds of non positive curvature  . . 261--268
               Robert L. Bryant   Metrics with holonomy $ G_2 $ or spin
                                  ($7$)  . . . . . . . . . . . . . . . . . 269--277
                S. S. Chern and   
                 R. S. Hamilton   On Riemannian metrics adapted to
                                  three-dimensional contact manifolds  . . 279--308
                S. K. Donaldson   $4$-Manifolds with indefinite
                                  intersection form  . . . . . . . . . . . 309--320
                    G. Faltings   Arithmetische Kompaktifizierung des
                                  Modulraums der abelschen Varietäten.
                                  (German) []  . . . . . . . . . . . . . . 321--383
            Gerard van der Geer   The Schottky problem . . . . . . . . . . 385--406
                     Serge Lang   Vojta's conjecture . . . . . . . . . . . 407--419
                 Henry C. Wente   A counterexample in $3$-space to a
                                  conjecture of H. Hopf  . . . . . . . . . 421--429


Lecture Notes in Mathematics
Volume 1112, 1985

                    Z. Arad and   
                   J. Stavi and   
                      M. Herzog   Powers and products of conjugacy classes
                                  in groups  . . . . . . . . . . . . . . . 6--51
                    Shimy Karni   Covering numbers of groups of small
                                  order and sporadic groups  . . . . . . . 52--196
                      Yoav Dvir   Covering properties of permutation
                                  groups . . . . . . . . . . . . . . . . . 197--221
                   Zvi Arad and   
              David Chillag and   
                     Gadi Moran   Groups with a small covering number  . . 222--244


Lecture Notes in Mathematics
Volume 1113, 1985

              Piotr Antosik and   
                 Charles Swartz   Introduction . . . . . . . . . . . . . . 1--6
              Piotr Antosik and   
                 Charles Swartz   Basic matrix results . . . . . . . . . . 7--10
              Piotr Antosik and   
                 Charles Swartz   $K$ convergence  . . . . . . . . . . . . 11--20
              Piotr Antosik and   
                 Charles Swartz   The Uniform Boundedness Principle  . . . 21--28
              Piotr Antosik and   
                 Charles Swartz   Convergence of operators . . . . . . . . 29--44
              Piotr Antosik and   
                 Charles Swartz   Bilinear maps and hypocontinuity . . . . 45--57
              Piotr Antosik and   
                 Charles Swartz   Orlicz--Pettis Theorems  . . . . . . . . 58--73
              Piotr Antosik and   
                 Charles Swartz   The Schur and Phillips lemma . . . . . . 74--84
              Piotr Antosik and   
                 Charles Swartz   The Schur lemma for bounded multiplier
                                  convergent series  . . . . . . . . . . . 85--93
              Piotr Antosik and   
                 Charles Swartz   Imbedding $ c_o $ and $ l^\infty $ . . . 94--104


Lecture Notes in Mathematics
Volume 1114, 1985

               Christian Buchta   Zufällige Polyeder --- Eine Obersicht.
                                  (German) [Random polyhedra --- a
                                  summary] . . . . . . . . . . . . . . . . 1--13
                   W. Fleischer   Ein Diskrepanzbegriff Für Kompakte Räume.
                                  (German) []  . . . . . . . . . . . . . . 14--15
          Doz. Dr. F. Haslinger   Newton'sche Interpolationspolynome Und
                                  Gleichverteilung. (German) [Newton's
                                  interpolation polynomials and uniform
                                  distribution]  . . . . . . . . . . . . . 16--18
                      E. Hlawka   Über Ein Produkt, Das In Der
                                  Interpolation Analytischer Funktionen Im
                                  Einheitskreis Auftritt. (German) []  . . 19--25
                      E. Hlawka   Bemerkung Zum Lemma Von Du
                                  Bois--Reymond. (German) [] . . . . . . . 26--29
                  Edmund Hlawka   Bemerkung Zum Lemma von Du Bois--Reymond
                                  II. (German) [Remark on the Du
                                  Bois--Reymond lemma II]  . . . . . . . . 30--39
               P. Kirschenhofer   Asymptotische Untersuchungen Zur
                                  Durchschnittlichen Gestalt Gewisser
                                  Graphenklassen. (German) []  . . . . . . 40--54
           P. Kirschenhofer and   
               H. Prodinger and   
                    R. F. Tichy   Ober Die Ziffernsumme Natürlicher Zahlen
                                  Und Verwandte Probleme. (German) [On the
                                  digit sum of natural numbers and related
                                  problems]  . . . . . . . . . . . . . . . 55--65
           P. Kirschenhofer and   
                    R. F. Tichy   Gleichverteilung In Diskreten Räumen.
                                  (German) []  . . . . . . . . . . . . . . 66--76
        Prof. Dr. Viktor Losert   Gleichverteilung Von Folgen, Die Durch
                                  Additive Halbgruppen Definiert Sind.
                                  (German) []  . . . . . . . . . . . . . . 77--83
        Prof. Dr. Viktor Losert   Gleichverteilte Folgen Und Folgen, Für
                                  Die Fast Alle Teilfolgen Gleichverteilt
                                  Sind. (German) []  . . . . . . . . . . . 84--97
             Werner Georg Nowak   Einige Beiträge Zur Theorie Der
                                  Gitterpunkte. (German) []  . . . . . . . 98--117
               Helmut Prodinger   Die Bestimmung Gewisser Parameter Bei
                                  Binären Bäumen Mit Hilfe Analytischer
                                  Methoden. (German) []  . . . . . . . . . 118--133
                     R. Schnabl   Ober Eine $ C_\infty $-funktion.
                                  (German) []  . . . . . . . . . . . . . . 134--142
Doz. Dr. J. Schoißengeier   Der Numerische Wert Gewisser Reihen.
                                  (German) []  . . . . . . . . . . . . . . 143--147
Doz. Dr. J. Schoißengeier   Ober Die Diskrepanz Der Folgen $ (n
                                  \alpha) $. (German) [] . . . . . . . . . 148--153
                Robert F. Tichy   Bemerkung Zu Einem Lemma Aus Der
                                  Variationsrechnung. (German) []  . . . . 154--157


Lecture Notes in Mathematics
Volume 1115, 1985

          Jean Moulin Ollagnier   Preliminary analysis . . . . . . . . . . 1--14
          Jean Moulin Ollagnier   Dynamical systems and amenable groups    15--34
          Jean Moulin Ollagnier   Ergodic theorems . . . . . . . . . . . . 35--52
          Jean Moulin Ollagnier   Entropy of abstract dynamical systems    53--70
          Jean Moulin Ollagnier   Entropy as a function and the
                                  variational principle  . . . . . . . . . 71--85
          Jean Moulin Ollagnier   Statistical mechanics on a lattice . . . 86--104
          Jean Moulin Ollagnier   Dynamical systems in statistical
                                  mechanics  . . . . . . . . . . . . . . . 105--116
          Jean Moulin Ollagnier   Equivalence of countable amenable groups 117--138


Lecture Notes in Mathematics
Volume 1116, 1985

                  Stephan Stolz   Die Bordismusgruppen $ A_*^{ \langle k
                                  \rangle } $. (German) [] . . . . . . . . 1--9
                  Stephan Stolz   Die Pontrjagin--Thom Konstruktion.
                                  (German) [The Pontryagin--Thom
                                  Construction]  . . . . . . . . . . . . . 10--13
                  Stephan Stolz   Konstruktion des Spektrums A[k].
                                  (German) []  . . . . . . . . . . . . . . 14--18
                  Stephan Stolz   Die Kohomologie von A[k]. (German) []    19--31
                  Stephan Stolz   Die Adams-Spektralsequenz. (German) []   32--34
                  Stephan Stolz   Eine elementare Methode zur Berechnung
                                  von Ext-Gruppen. (German) [] . . . . . . 35--50
                  Stephan Stolz   Ein $ E_1$-Term der
                                  Adams-Spektralsequenz von $ A[k]$.
                                  (German) []  . . . . . . . . . . . . . . 51--57
                  Stephan Stolz   Geometrische Invarianten für Elemente der
                                  Filtrierung null. (German) []  . . . . . 58--67
                  Stephan Stolz   Geometrische Konstruktionen. (German)
                                  [Geometrical constructions]  . . . . . . 68--80
                  Stephan Stolz   Relationen in $ \pi_* $ (A[k]) . . . . . 81--86
                  Stephan Stolz   Differentiale in der
                                  Adams-Spektralsequenz von A[k]. (German)
                                  [] . . . . . . . . . . . . . . . . . . . 87--98
                  Stephan Stolz   Die Kokern $J$-Komponente von $ \partial
                                  $: a $_m^{ \langle k \rangle } \to
                                  \ominus_{m - 1}$. (German) []  . . . . . 99--107
                  Stephan Stolz   Die $ b P_m$-Komponente von $ \partial
                                  \colon a_m^{ \langle k \rangle } \to
                                  \ominus_{m - 1}$. (German) []  . . . . . 108--114
                  Stephan Stolz   Zur Diffeomorphieklassifikation
                                  geschlossener hochzusammenhängender
                                  Mannigfaltigkeiten. (German) []  . . . . 115--118
                  Stephan Stolz   Trägheitsgruppen hochzusammenhängender
                                  Mannigfaltigkeiten. (German) []  . . . . 119--130


Lecture Notes in Mathematics
Volume 1117, 1985

                David J. Aldous   Exchangeability and related topics . . . 1--198
                I. A. Ibragimov   Théor\`emes Limites Pour Les Marches
                                  Aléatoires. (French) [] . . . . . . . . . 199--297
                       J. Jacod   Théor\`emes Limite Pour Les Processus.
                                  (French) []  . . . . . . . . . . . . . . 298--406


Lecture Notes in Mathematics
Volume 1118, 1985

                         M. Yor   Grossissement de filtrations et absolue
                                  continuité de noyaux. (French) [] . . . . 6--14
                     Jean Jacod   Grossissement initial, hypoth\`ese ($
                                  H^\prime $) et théor\`eme de Girsanov.
                                  (French) []  . . . . . . . . . . . . . . 15--35
                     Jean Jacod   Grossissement de filtration et processus
                                  d'Ornstein--Uhlenbeck généralisé. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 36--44
                       Marc Yor   Entropie d'une partition, et
                                  grossissement initial d'une filtration.
                                  (French) []  . . . . . . . . . . . . . . 45--58
   Mireille Chaleyat-Maurel and   
                 Thierry Jeulin   Grossissement gaussien de la filtration
                                  Brownienne. (French) []  . . . . . . . . 59--109
                         M. Yor   Inégalités de martingales continues arrêtées
                                  \`a un temps quelconque. (French) [] . . 110--146
                       Marc Yor   Inégalités de martingales continues arrêtées
                                  \`a un temps quelconque: Le rôle de
                                  certains espaces BMO. (French) []  . . . 147--171
                 Chantha Yoeurp   Théor\`eme de Girsanov généralisé et
                                  grossissement d'une filtration. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 172--196
                      T. Jeulin   Application de la théorie du
                                  grossissement \`a l'étude des temps
                                  locaux Browniens. (French) []  . . . . . 197--304


Lecture Notes in Mathematics
Volume 1119, 1985

                   Viorel Barbu   The time optimal control of variational
                                  inequalities. Dynamic programming and
                                  the maximum principle  . . . . . . . . . 1--19
                  A. Bensoussan   Some singular perturbation problems
                                  arising in stochastic control  . . . . . 20--31
                    G. Da Prato   Some results on stationary Bellman
                                  equation in Hilbert spaces . . . . . . . 32--51
             Wendell H. Fleming   A stochastic control approach to some
                                  large deviations problems  . . . . . . . 52--66
                   C. Gomez and   
              J.-P. Quadrat and   
                       A. Sulem   Towards an expert system in stochastic
                                  control: Optimization in the class of
                                  local feedbacks  . . . . . . . . . . . . 67--93
                    P.-L. Lions   Optimal control and viscosity solutions  94--112
   José-Luis Menaldi and   
                  Maurice Robin   Some control problems of degenerate
                                  diffusions with unbounded cost . . . . . 113--138
                       U. Mosco   On some stochastic optimal impulse
                                  control problems . . . . . . . . . . . . 139--151
                 Edmundo Rofman   Approximation of
                                  Hamilton--Jacobi--Bellman equation in
                                  deterministic control theory. An
                                  application to energy production systems 152--189
                   R. B. Vinter   Dynamic programming for optimal control
                                  problems with terminal constraints . . . 190--202


Lecture Notes in Mathematics
Volume 1120, 1985

               Krzysztof Jarosz   Preliminaries  . . . . . . . . . . . . . 1--3
               Krzysztof Jarosz   I. Perturbations of multiplications and
                                  onto-isomorphisms  . . . . . . . . . . . 4--35
               Krzysztof Jarosz   II. Into-isomorphisms  . . . . . . . . . 36--44
               Krzysztof Jarosz   III. Isometries in semisimple,
                                  commutative Banach algebras  . . . . . . 45--55
               Krzysztof Jarosz   IV. Perturbations of operator algebras   56--76
               Krzysztof Jarosz   V. Stability . . . . . . . . . . . . . . 77--110


Lecture Notes in Mathematics
Volume 1121, 1985

               I. Babu\vska and   
                   J. E. Osborn   Finite element methods for the solution
                                  of problems with rough input data  . . . 1--18
              A. E. Beagles and   
                 J. R. Whiteman   Treatment of a re-entrant vertex in a
                                  three-dimensional Poisson problem  . . . 19--27
                        H. Blum   On the approximation of linear elliptic
                                  systems on polygonal domains . . . . . . 28--37
            Matthias Blumenfeld   The regularity of interface-problems on
                                  corner-regions . . . . . . . . . . . . . 38--54
            Jochen Brüning   Spectral analysis of singular
                                  Sturm--Liouville problems with operator
                                  coefficients . . . . . . . . . . . . . . 55--68
              P. Destuynder and   
                  M. Djaoua and   
                     S. Lescure   On a numerical method for fracture
                                  mechanics  . . . . . . . . . . . . . . . 69--84
            Manfred Dobrowolski   On finite element methods for nonlinear
                                  elliptic problems on domains with
                                  corners  . . . . . . . . . . . . . . . . 85--103
                      M. Durand   Singularities in elliptic problems . . . 104--112
             Paul J. T. Filippi   Boundary integral equations for sound
                                  radiation by a harmonically vibrating
                                  baffled plate  . . . . . . . . . . . . . 113--122
                G. Geymonat and   
                    P. Grisvard   Eigenfunction expansions for non self
                                  adjoint operators and separation of
                                  variables  . . . . . . . . . . . . . . . 123--136
                    F. Hartmann   Castigliano and Sobolev  . . . . . . . . 137--152
            George C. Hsiao and   
           Ernst P. Stephan and   
           Wolfgang L. Wendland   An integral equation formulation for a
                                  boundary value problem of elasticity in
                                  the domain exterior to an arc  . . . . . 153--165
                    Steen Krenk   Scalar decomposition of elastic waves
                                  scattered by planar cracks . . . . . . . 166--180
                J. C. Mason and   
               A. P. Parker and   
             R. N. L. Smith and   
                 R. M. Thompson   Boundary element methods for singularity
                                  problems in fracture mechanics . . . . . 181--198
                M.-A. Moussaoui   Sur l'approximation des solutions du
                                  probl\`eme de Dirichlet dans un ouvert
                                  avec coins. (French) []  . . . . . . . . 199--206
                 N. Papamichael   The treatment of singularities in
                                  orthonormalization methods for numerical
                                  conformal mapping  . . . . . . . . . . . 207--227
              J. Barkley Rosser   Calculation of potential in a sector . . 228--257
                     E. Schnack   Singularities of cracks with generalized
                                  finite elements  . . . . . . . . . . . . 258--277
                       E. Stein   The practical treatment of stress
                                  concentrations and singularities within
                                  finite element displacement algorithms   278--299
                   J. Steinberg   Series expansions of biharmonic
                                  functions around a slit  . . . . . . . . 300--307


Lecture Notes in Mathematics
Volume 1122, 1985

            Krishnaswami Alladi   A study of the moments of additive
                                  functions using Laplace transforms and
                                  sieve methods  . . . . . . . . . . . . . 1--37
         R. Balasubramanian and   
                 K. Ramachandra   A hybrid version of a theorem of Ingham  38--46
                Bruce C. Berndt   Remarks on some of Ramanujan's number
                                  theoretical discoveries found in his
                                  second notebook  . . . . . . . . . . . . 47--55
                S. Bhargava and   
            Chandrashekar Adiga   Two generalizations of Ramanujan's
                                  continued fraction identities  . . . . . 56--62
                 H. Diamond and   
                  H. Halberstam   The combinatorial sieve  . . . . . . . . 63--73
                     P. Erd\Hos   On some of my problems in number theory
                                  I would most like to see solved  . . . . 74--84
                 P. Erd\Hos and   
     A. Sárközy and   
               V. T. Sós   Problems and result on additive
                                  properties of general sequences, IV  . . 85--104
                   F. Grupp and   
                  H.-E. Richert   The functions of the linear sieve
                                  (summary)  . . . . . . . . . . . . . . . 105--114
             J. Hanumanthachari   An extended Nagell Totient and related
                                  Ramanujan sums . . . . . . . . . . . . . 115--129
                 R. Jagannathan   On projective representations of finite
                                  Abelian groups . . . . . . . . . . . . . 130--139
                    V. S. Joshi   Sums of reciprocals of some
                                  non-vanishing multiplicative functions   140--146
                I. Kátai   A remark on a paper of K. Ramachandra    147--152
                    S. A. Katre   Jacobsthal sums in terms of quadratic
                                  partitions of a prime  . . . . . . . . . 153--162
                 V. Kumar Murty   Fourier coefficients of modular forms    163--172
                 Carl Pomerance   On the distribution of round numbers . . 173--200
                  S. Srinivasan   Some Remarks in number theory  . . . . . 201--205
                   A. Verma and   
                     V. K. Jain   Basic analogues of transformations of
                                  nearly-poised basic hypergeometric
                                  series . . . . . . . . . . . . . . . . . 206--217


Lecture Notes in Mathematics
Volume 1123, 1985

                  Edward Nelson   Critical diffusions  . . . . . . . . . . 1--11
                P.-A. Meyer and   
                    W. A. Zheng   Construction de processus de Nelson
                                  reversibles. (French) [] . . . . . . . . 12--26
                     R. Durrett   On the unboundedness of martingale
                                  transforms . . . . . . . . . . . . . . . 27--36
                U. G. Haussmann   L'équation de Zakai et le probl\`eme séparé
                                  du contrôle optimal stochastique.
                                  (French) []  . . . . . . . . . . . . . . 37--62
                    P. Salminen   On local times of a diffusion  . . . . . 63--79
             Dimitar I. Hadjiev   The first passage problem for
                                  generalized
                                  Ornstein--Uhlenbeck-processes with
                                  non-positive jumps . . . . . . . . . . . 80--90
               Laurent Schwartz   Construction directe d'une diffusion sur
                                  une variété. (French) [] . . . . . . . . . 91--112
                    P.-A. Meyer   Sur la théorie de
                                  Littlewood--Paley--Stein (d'apr\`es
                                  Coifman--Rochberg--Weiss et Cowling).
                                  (French) []  . . . . . . . . . . . . . . 113--129
                       D. Bakry   Transformations de Riesz pour les
                                  semi-groupes symétriques. Premi\`ere
                                  partie: Étude de la dimension $1$.
                                  (French) []  . . . . . . . . . . . . . . 130--144
                       D. Bakry   Transformations de Riesz pour les
                                  semi-groupes symétriques. Seconde patrie:
                                  Étude sous la condition $ \Gamma_2 \geq 0
                                  $. (French) [] . . . . . . . . . . . . . 145--174
                Dominique Bakry   Une remarque sur les inégalités de
                                  Littlewood--Paley sous l'hypoth\`ese $
                                  \Gamma_2 \geq 0 $. (French) [] . . . . . 175--175
                    P.-A. Meyer   Une Remarque Sur La Topologie Fine.
                                  (French) []  . . . . . . . . . . . . . . 176--176
                   D. Bakry and   
            Michel Émery   Diffusions hypercontractives . . . . . . 177--206
               Norio Kôno   Démonstration probabiliste du théor\`eme
                                  de d'Alembert. (French) [] . . . . . . . 207--208
            Christophe Stricker   Loi de semimartingales et crit\`eres de
                                  compacité. (French) []  . . . . . . . . . 209--217
                    C. Stricker   Une remarque sue une certaine classe de
                                  semimartingales. (French) [] . . . . . . 218--221
                 C. Dellacherie   Quelques résultats sur les maisons de
                                  jeux analytiques. (French) []  . . . . . 222--229
J. Ruíz de Chávez   Espaces de Fock pour les processus de
                                  Wiener et de Poisson. (French) []  . . . 230--241
J. Ruíz de Chávez   Compensation multiplicative et
                                  \flqqproduits de Wick\frqq. (French) []  242--247
J. Ruíz de Chávez   Sur les intégrales stochastiques
                                  multiples. (French) [] . . . . . . . . . 248--257


Lecture Notes in Mathematics
Volume 1124, 1985

           Enrico Arbarello and   
             Corrado De Concini   An analytical translation of a criterion
                                  of Welters and its relation with the
                                  K.P. Hierarchy . . . . . . . . . . . . . 1--20
                       W. Barth   Lectures on $ K 3 $- and Enriques
                                  surfaces . . . . . . . . . . . . . . . . 21--57
             Frabrizio Catanese   Generic invertible sheaves of
                                  $2$-torsion and generic invertible
                                  thetacharacteristics on nodal plane
                                  curves . . . . . . . . . . . . . . . . . 58--70
                       A. Conte   Fano threefolds with singularities . . . 71--78
           André Galligo   Computations of some Hilbert functions
                                  related with Schubert calculus . . . . . 79--97
              R. Hartshorne and   
                 A. Hirschowitz   Smoothing algebraic space curves . . . . 98--131
                    Klaus Hulek   Complete intersection curves, the
                                  splitting of the normal bundle and the
                                  Veronese surface . . . . . . . . . . . . 132--145
         Anthony Iarrobino, Jr.   Compressed algebras and components of
                                  the punctual Hilbert scheme  . . . . . . 146--165
                    Vasil Kanev   Theta divisors of generalized Prym
                                  varieties I  . . . . . . . . . . . . . . 166--215
                    J. P. Murre   Applications of algebraic $K$-theory to
                                  the theory of algebraic cycles . . . . . 216--261
                    Ulf Persson   Double sextics and singular $K$-3
                                  surfaces . . . . . . . . . . . . . . . . 262--328
                    Ragni Piene   On the problem of enumerating twisted
                                  cubics . . . . . . . . . . . . . . . . . 329--337
                  Roy Smith and   
                  Robert Varley   Components of the locus of singular
                                  theta divisors of genus $5$  . . . . . . 338--416


Lecture Notes in Mathematics
Volume 1125, 1985

                  Marc Chaperon   An elementary proof of the
                                  Conley--Zehnder theorem in symplectic
                                  geometry . . . . . . . . . . . . . . . . 1--8
             R. Dieckerhoff and   
                     E. Zehnder   An `A-Priori' estimate for
                                  oscillatory-equations  . . . . . . . . . 9--14
               Freddy Dumortier   On the structure of germs of vector
                                  fields in $ \mathbb {R}^3 $ whose linear
                                  part generates rotations . . . . . . . . 15--46
                   A. Floer and   
                     E. Zehnder   Fixed point results for symplectic maps
                                  related to the Arnold-conjecture . . . . 47--63
                   J. Palis and   
                   R. Roussarie   Topological invariants as numbers of
                                  translation  . . . . . . . . . . . . . . 64--86
              J. A. Sanders and   
                     R. Cushman   Abelian integrals and global Hopf
                                  bifurcations . . . . . . . . . . . . . . 87--98
                  Floris Takens   On the numerical determination of the
                                  dimension of an attractor  . . . . . . . 99--106
                    Gert Vegter   Global stability of generic
                                  two-parameter families of gradients on
                                  three-manifolds  . . . . . . . . . . . . 107--129


Lecture Notes in Mathematics
Volume 1126, 1985

               A. H. Assadi and   
                       P. Vogel   Semifree finite groups actions on
                                  compact manifolds  . . . . . . . . . . . 1--21
         Sylvain E. Cappell and   
             Julius L. Shaneson   Torsion in $L$-groups  . . . . . . . . . 22--50
                 James F. Davis   Higher diagonal approximations and
                                  skeletons of $ K(\pi, l) $'s . . . . . . 51--61
                   J. P. Levine   Lectures on groups of homotopy spheres   62--95
                  Norman Levitt   Some remarks on local formulae for $ p_1
                                  $  . . . . . . . . . . . . . . . . . . . 96--126
               R. James Milgram   Evaluating the Swan finiteness
                                  obstruction for periodic groups  . . . . 127--158
               R. James Milgram   The Cappell--Shaneson example  . . . . . 159--165
           Erik K. Pedersen and   
              Charles A. Weibel   A nonconnective delooping of algebraic
                                  $K$-theory . . . . . . . . . . . . . . . 166--181
                    Frank Quinn   Geometric algebra  . . . . . . . . . . . 182--198
                 Andrew Ranicki   The algebraic theory of torsion I.
                                  Foundations  . . . . . . . . . . . . . . 199--237
                Justin R. Smith   Equivariant Moore spaces . . . . . . . . 238--270
             Jonathan D. Sondow   Triviality of the involution on $ {\rm
                                  SK}_1 $ for periodic groups  . . . . . . 271--276
                  Wolrad Vogell   The involution in the algebraic
                                  $K$-theory of spaces . . . . . . . . . . 277--317
           Friedhelm Waldhausen   Algebraic $K$-theory of spaces . . . . . 318--419
              Shmuel Weinberger   Oliver's formula and Minkowski's theorem 420--421
              Shmuel Weinberger   Some nilpotent complexes . . . . . . . . 422--423


Lecture Notes in Mathematics
Volume 1127, 1985

               R. Glowinski and   
              J. Périaux   Finite element, least squares and
                                  domains decomposition methods for the
                                  numerical solution of nonlinear problems
                                  in fluid dynamics  . . . . . . . . . . . 1--114
             David Gottlieb and   
                     Eli Turkel   Topics in spectral methods . . . . . . . 115--155
                 Antony Jameson   Transonic flow calculations for aircraft 156--242
                  P.-A. Raviart   An analysis of particle methods  . . . . 243--324


Lecture Notes in Mathematics
Volume 1128, 1985

              Johannes Elschner   Fuchsian differential operators with one
                                  singular point . . . . . . . . . . . . . 13--36
              Johannes Elschner   Lieear ordinary differential operators
                                  with one singular point  . . . . . . . . 37--71
              Johannes Elschner   Linear ordinary differential operators
                                  with several singular points . . . . . . 72--91
              Johannes Elschner   Elliptic differential operators in $
                                  \mathbb {R}^n $ degenerating at one
                                  point  . . . . . . . . . . . . . . . . . 92--122
              Johannes Elschner   Degenerate pseudodifferential operators
                                  on a closed curve  . . . . . . . . . . . 123--163
              Johannes Elschner   A finite element method for
                                  pseudodifferential equations on a closed
                                  curve  . . . . . . . . . . . . . . . . . 164--186
              Johannes Elschner   Appendix. Suboptimal convergence of the
                                  Galerkin method with splines for
                                  elliptic pseudodifferential equations    187--190


Lecture Notes in Mathematics
Volume 1129, 1985

                   E. W. Cheney   Five lectures on the algorithmic aspects
                                  of approximation theory  . . . . . . . . 1--20
            C. A. Micchelli and   
                   T. J. Rivlin   Lectures on optimal recovery . . . . . . 21--93
                   A. H. Schatz   An introduction to the analysis of the
                                  error in the finite element method for
                                  second-order elliptic boundary value
                                  problems . . . . . . . . . . . . . . . . 94--139
                R. E. Showalter   Variational theory and approximation of
                                  boundary value problems  . . . . . . . . 140--179


Lecture Notes in Mathematics
Volume 1130, 1985

                 Xavier Caicedo   Failure of interpolation for quantifiers
                                  of monadic type  . . . . . . . . . . . . 1--12
            Rolando Chuaqui and   
              Leopoldo Bertossi   Approximation to truth and theory of
                                  errors . . . . . . . . . . . . . . . . . 13--31
                       P. Clote   Partition relations in arithmetic  . . . 32--68
              Manuel Corrada C.   On the axiomatizability of sets in a
                                  class theory . . . . . . . . . . . . . . 69--75
                 M. A. Dickmann   Applications of model theory to real
                                  algebraic geometry . . . . . . . . . . . 76--150
        Carlos A. Di Prisco and   
                   Wiktor Marek   On the space $ (\lambda)^\kappa $  . . . 151--156
 Ítala M. L. D'Ottaviano   The model extension theorems for \cyr
                                  L$_3$-theories . . . . . . . . . . . . . 157--173
                 Sergio Fajardo   Completeness theorems for the general
                                  theory of stochastic processes . . . . . 174--194
                J. M. Henle and   
           A. R. D. Mathias and   
                 W. Hugh Woodin   A barren extension . . . . . . . . . . . 195--207
  E. G. K. López-Escobar   Proof functional connectives . . . . . . 208--221
                      M. Makkai   Ultraproducts and categorical logic  . . 222--309
               Jerome I. Malitz   Problems in taxonomy, a floating log . . 310--316
                   J. Paris and   
                      A. Wilkie   Counting problems in bounded arithmetic  317--340
                 Ramon Pino and   
           Jean-Pierre Ressayre   Definable ultrafilters and elementary
                                  end extensions . . . . . . . . . . . . . 341--350
              Alexander Prestel   On the axiomatization of PRC-fields  . . 351--359
                Cecylia Rauszer   Formalizations of certain intermediate
                                  logics. Part I . . . . . . . . . . . . . 360--384
       William N. Reinhardt and   
                Rolando Chuaqui   Types in class set theories  . . . . . . 385--394
                  Jacques Stern   Generic extensions which do not ADD
                                  random reals . . . . . . . . . . . . . . 395--407


Lecture Notes in Mathematics
Volume 1131, 1985

      Kondagunta Sundaresan and   
          Srinivasa Swaminathan   Introduction . . . . . . . . . . . . . . 1--2
      Kondagunta Sundaresan and   
          Srinivasa Swaminathan   Basic definitions and geometric
                                  properties . . . . . . . . . . . . . . . 3--11
      Kondagunta Sundaresan and   
          Srinivasa Swaminathan   Smoothness classification of Banach
                                  spaces . . . . . . . . . . . . . . . . . 12--36
      Kondagunta Sundaresan and   
          Srinivasa Swaminathan   Smooth partitions of unity on Banach
                                  spaces . . . . . . . . . . . . . . . . . 37--66
      Kondagunta Sundaresan and   
          Srinivasa Swaminathan   Smoothness and approximation in Banach
                                  spaces . . . . . . . . . . . . . . . . . 67--96


Lecture Notes in Mathematics
Volume 1132, 1985

                 Huzihiro Araki   Ergodic properties of some $ C*
                                  $-dynamical systems  . . . . . . . . . . 1--11
             R. J. Archbold and   
                 C. J. K. Batty   Factor states on $ C* $-algebras . . . . 12--16
                William Arveson   Continuous nests and the absorption
                                  principle  . . . . . . . . . . . . . . . 17--29
                  J. Bion-Nadal   Banach bimodule associated to an action
                                  of a discrete group on a compact space   30--37
                Bruce Blackadar   Noncommutative shape theory  . . . . . . 38--45
               Ola Bratteli and   
             Trond Digernes and   
              George A. Elliott   Locality and differential operators on $
                                  C* $-algebras, II  . . . . . . . . . . . 46--83
                    Marie Choda   Strong ergodicity and full $ {\rm II}_1
                                  $-factors  . . . . . . . . . . . . . . . 84--90
               Alain Connes and   
              Uffe Haagerup and   
          Erling Stòrmer   Diameters of state spaces of type III
                                  factors  . . . . . . . . . . . . . . . . 91--116
                   S. Doplicher   Problems in quantum field theory and in
                                  operator algebras  . . . . . . . . . . . 117--128
                 David E. Evans   Quasi-product states on $ C* $-algebras  129--151
              Elliot C. Gootman   Abelian group actions on type I $ C*
                                  $-algebras . . . . . . . . . . . . . . . 152--169
                  Uffe Haagerup   Injectivity and decomposition of
                                  completely bounded maps  . . . . . . . . 170--222
            Harald Hanche-Olsen   JB-algebras with tensor products are $
                                  C* $-algebras  . . . . . . . . . . . . . 223--229
             Pierre de la Harpe   Reduced $ C* $-algebras of discrete
                                  groups which are simple with a unique
                                  trace  . . . . . . . . . . . . . . . . . 230--253
                  Michel Hilsum   Signature operator on Lipschitz
                                  manifolds and unbounded Kasparov
                                  bimodules  . . . . . . . . . . . . . . . 254--288
                Pierre Julg and   
                  Alain Valette   Group actions on Irees and
                                  $K$-amenability  . . . . . . . . . . . . 289--296
                   Alex Kumjian   Diagonals in algebras of continuous
                                  trace  . . . . . . . . . . . . . . . . . 297--311
              Toshikazu Natsume   Appendix . . . . . . . . . . . . . . . . 312--323
           E. Christopher Lance   Some problems and results on reflexive
                                  algebras . . . . . . . . . . . . . . . . 324--330
               A. A. Lodkin and   
                  A. M. Vershik   Approximation for actions of amenable
                                  groups and transversal automorphisms . . 331--346


Lecture Notes in Mathematics
Volume 1133, 1985

            Krzysztof C. Kiwiel   Fundamentals . . . . . . . . . . . . . . 1--43
            Krzysztof C. Kiwiel   Aggregate subgradient methods for
                                  unconstrained convex minimization  . . . 44--86
            Krzysztof C. Kiwiel   Methods with subgradient locality
                                  measures for minimizing nonconvex
                                  functions  . . . . . . . . . . . . . . . 87--138
            Krzysztof C. Kiwiel   Methods with subgradient deletion rules
                                  for unconstrained nonconvex minimization 139--189
            Krzysztof C. Kiwiel   Feasible point methods for convex
                                  constrained minimization problems  . . . 190--228
            Krzysztof C. Kiwiel   Methods of feasible directions for
                                  nonconvex constrained problems . . . . . 229--298
            Krzysztof C. Kiwiel   Bundle methods . . . . . . . . . . . . . 299--344
            Krzysztof C. Kiwiel   Numerical examples . . . . . . . . . . . 345--353


Lecture Notes in Mathematics
Volume 1134, 1985

          Giovanni P. Galdi and   
              Salvatore Rionero   Introductory topics on stability of
                                  viscous flows  . . . . . . . . . . . . . 1--13
          Giovanni P. Galdi and   
              Salvatore Rionero   Energy methods in unbounded domains: The
                                  case of a half space . . . . . . . . . . 14--35
          Giovanni P. Galdi and   
              Salvatore Rionero   Energy methods in unbounded domains: The
                                  case of an exterior domain . . . . . . . 36--48
          Giovanni P. Galdi and   
              Salvatore Rionero   Some properties of steady solutions in
                                  exterior domains . . . . . . . . . . . . 49--54
          Giovanni P. Galdi and   
              Salvatore Rionero   Exchange of stabilities, symmetry and
                                  the connection between linear and
                                  nonlinear stability  . . . . . . . . . . 55--77
          Giovanni P. Galdi and   
              Salvatore Rionero   Skew-symmetric operators and nonlinear
                                  stabilization: The hydromagnetic Bénard
                                  problem  . . . . . . . . . . . . . . . . 78--91
          Giovanni P. Galdi and   
              Salvatore Rionero   Weighted energy methods in elastostatics
                                  on unbounded domains . . . . . . . . . . 92--107
          Giovanni P. Galdi and   
              Salvatore Rionero   Weighted energy methods in linear
                                  elastodynamics in unbounded domains  . . 108--119


Lecture Notes in Mathematics
Volume 1135, 1985

               Richard T. Bumby   Hausdorff dimension of sets arising in
                                  number theory  . . . . . . . . . . . . . 1--8
           D. V. Chudnovsky and   
               G. V. Chudnovsky   Applications of Padé approximations to
                                  Diophantine inequalities in values of
                                  $G$-functions  . . . . . . . . . . . . . 9--51
           D. V. Chudnovsky and   
               G. V. Chudnovsky   Applications of Padé approximations to
                                  the Grothendieck conjecture on linear
                                  differential equations . . . . . . . . . 52--100
                    Harvey Cohn   Klein's paradox, the icosahedron, and
                                  ring class fields  . . . . . . . . . . . 101--111
                Leon Ehrenpreis   Transcendental numbers and partial
                                  differential equations . . . . . . . . . 112--125
               Dennis A. Hejhal   A classical approach to a well-known
                                  spectral correspondence on quaternion
                                  groups . . . . . . . . . . . . . . . . . 127--196
                William L. Hoyt   On surfaces associated with an
                                  indefinite ternary lattice . . . . . . . 197--210
                Marvin I. Knopp   Modular integrals on $ \Gamma_o (N) $
                                  and Dirichlet series with functional
                                  equations  . . . . . . . . . . . . . . . 211--224
             A. Naftalevich and   
                   M. Schreiber   Trigonometric polynomials and sums of
                                  squares  . . . . . . . . . . . . . . . . 225--238
                   Peter Sarnak   On the number of points on certain
                                  curves and an uncertainty principle  . . 239--253
                     Noriko Yui   The Brauer group of the product of two
                                  curves over a finite field . . . . . . . 254--283


Lecture Notes in Mathematics
Volume 1136, 1985

              Luigi Accardi and   
                   Stefano Olla   On the polaron asymptotics at finite
                                  coupling constant  . . . . . . . . . . . 1--8
              Luigi Accardi and   
            K. R. Parthasarathy   Stochastic calculus on local algebras    9--23
               S. Albeverio and   
              Ph. Blanchard and   
                  Ph. Combe and   
               R. Rodriguez and   
                 M. Sirugue and   
              M. Sirugue-Collin   Trapping in stochastic mechanics and
                                  applications to covers of clouds and
                                  radiation belts  . . . . . . . . . . . . 24--39
           Sergio Albeverio and   
     Raphael Hòegh-Krohn   A remark on dynamical semigroups in
                                  terms of diffusion processes . . . . . . 40--45
                David Applebaum   Quasi-free stochastic evolutions . . . . 46--56
              A. Barchielli and   
                     G. Lupieri   Dilations of operation valued stochastic
                                  processes  . . . . . . . . . . . . . . . 57--66
                 C. Barnett and   
                    I. F. Wilde   The Doob--Meyer decomposition for the
                                  square of Itô--Clifford $ L^2
                                  $-martingales  . . . . . . . . . . . . . 67--73
                J. Bertrand and   
                  B. Gaveau and   
                      G. Rideau   Poisson processes and quantum field
                                  theory: a model  . . . . . . . . . . . . 74--80
                      O. Besson   The entropy of quantum Markov states . . 81--89
         Iwo Bia\lynicki-Birula   Entropic uncertainty relations in
                                  quantum mechanics  . . . . . . . . . . . 90--103
              Ph. Blanchard and   
                  Ph. Combe and   
                 M. Sirugue and   
              M. Sirugue-Collin   Estimates of quantum deviations from
                                  classical mechanics using large
                                  deviation results  . . . . . . . . . . . 104--111
              F. Casagrande and   
              L. A. Lugiato and   
                      G. Strini   Adiabatic elimination technique for
                                  quantum dissipative systems  . . . . . . 112--125
                  Giulio Casati   Limitations for chaotic motion in
                                  quantum mechanics  . . . . . . . . . . . 126--135
                 Carlo Cecchini   Non commutative $ L^p $ spaces and
                                  K.M.S. functions . . . . . . . . . . . . 136--142
                    C. D'Antoni   Normal product states and nuclearity:
                                  New aspects of algebraic quantum field
                                  theory . . . . . . . . . . . . . . . . . 143--150
                 R. Dümcke   The low density limit for $n$-level
                                  systems  . . . . . . . . . . . . . . . . 151--161
                 David E. Evans   The $ C* $-Algebras of the
                                  two-dimensional Ising model  . . . . . . 162--176
                  M. Fannes and   
                  J. Quaegebeur   Infinite divisibility and central limit
                                  theorems for completely positive
                                  mappings . . . . . . . . . . . . . . . . 177--201
                     G. W. Ford   Temperature-dependent lamb shift of a
                                  quantum oscillator . . . . . . . . . . . 202--206
               Alberto Frigerio   Construction of stationary quantum
                                  Markov processes through quantum
                                  stochastic calculus  . . . . . . . . . . 207--222


Lecture Notes in Mathematics
Volume 1137, 1985

                      Xiao Gang   Préliminaires. (French) []  . . . . . . . 1--15
                      Xiao Gang   Les invariants numériques. (French) []    16--33
                      Xiao Gang   Classification des fibrations avec $ q =
                                  b + 1 $. (French) [] . . . . . . . . . . 34--59
                      Xiao Gang   Les fibrations avec petits invariants
                                  numériques. (French) [] . . . . . . . . . 60--70
                      Xiao Gang   Applications canoniques et bicanoniques.
                                  (French) []  . . . . . . . . . . . . . . 71--88
                      Xiao Gang   Nombre de fibrations de genre $2$ d'une
                                  surface. (French) [] . . . . . . . . . . 89--96


Lecture Notes in Mathematics
Volume 1138, 1985

                 Adrian Ocneanu   Introduction . . . . . . . . . . . . . . 1--5
                 Adrian Ocneanu   Main results . . . . . . . . . . . . . . 5--7
                 Adrian Ocneanu   Invariants and classification  . . . . . 8--16
                 Adrian Ocneanu   Amenable groups  . . . . . . . . . . . . 16--22
                 Adrian Ocneanu   The model action . . . . . . . . . . . . 23--31
                 Adrian Ocneanu   Ultraproduct algebras  . . . . . . . . . 31--40
                 Adrian Ocneanu   The Rohlin theorem . . . . . . . . . . . 41--59
                 Adrian Ocneanu   Cohomology vanishing . . . . . . . . . . 59--77
                 Adrian Ocneanu   Model action splitting . . . . . . . . . 77--95
                 Adrian Ocneanu   Model action isomorphism . . . . . . . . 95--111


Lecture Notes in Mathematics
Volume 1139, 1985

              H.-D. Doebner and   
               J. D. Hennig and   
                    I. E. Segal   The work of Steven M. Paneitz  . . . . . 1--5
             Stephen M. Paneitz   Indecomposable finite dimensional
                                  representations of the Poincaré group and
                                  associated fields  . . . . . . . . . . . 6--9
                 R. Cushman and   
                H. Knörrer   The energy momentum mapping of the
                                  Lagrange top . . . . . . . . . . . . . . 12--24
     Yvette Kosmann-Schwarzbach   On the momentum mapping in field theory  25--73
Jaime Muñoz Masqué   An axiomatic characterization of the
                                  Poincaré--Cartan form for second order
                                  variational problems . . . . . . . . . . 74--84
                  Giulio Casati   Energy level distributions and chaos in
                                  quantum mechanics  . . . . . . . . . . . 86--107
                 G. Lassner and   
                  G. A. Lassner   Quasi-*-algebras and general Weyl
                                  quantization . . . . . . . . . . . . . . 108--121
      André Lichnerowicz   Geometry of dynamical systems with
                                  time-dependent constraints and
                                  time-dependent Hamiltonians: an approach
                                  toward quantization  . . . . . . . . . . 122--135
                    I. E. Segal   Regularity aspects of the quantized
                                  perturbative $S$-matrix in
                                  $4$-dimensional space--time  . . . . . . 136--149
                    Akira Asada   Curvature forms with singularities and
                                  non-integral characteristic classes  . . 152--168
                   J. D. Hennig   Yang--Mills aspects of Poincaré gauge
                                  theories . . . . . . . . . . . . . . . . 169--188
                  Yuval Ne'eman   Supermanifolds and Berezin's new
                                  integral . . . . . . . . . . . . . . . . 189--198
              S. Randjbar-Daemi   Spontaneous compactification and fermion
                                  chirality  . . . . . . . . . . . . . . . 199--213
                   Alice Rogers   Off-shell extended supergravity in
                                  extended superspace  . . . . . . . . . . 214--235
                  P. F. Dhooghe   Completely integrable systems of
                                  KdV-type related to isospectral periodic
                                  regular difference operators . . . . . . 236--252
                   Allan M. Din   Non-linear techniques in two dimensional
                                  Grassmannian Sigma models  . . . . . . . 253--262
              A. M. Naveira and   
                 A. H. Rocamora   A geometrical obstruction to the
                                  existence of two totally umbilical
                                  complementary foliations in compact
                                  manifolds  . . . . . . . . . . . . . . . 263--279
           Norma Sánchez   Einstein equations without Killing
                                  vectors, non-linear sigma models and
                                  self-dual Yang--Mills theory . . . . . . 280--299
            Marcelo Epstein and   
         Marek El\.zanowski and   
          J\kedrzej \'Sniatycki   Locality and uniformity in global
                                  elasticity . . . . . . . . . . . . . . . 300--310
                      R. Kerner   Differential geometrical approach to the
                                  theory of amorphous solids . . . . . . . 311--327


Lecture Notes in Mathematics
Volume 1140, 1985

                 Stephen Donkin   Introduction . . . . . . . . . . . . . . 1--6
                 Stephen Donkin   Homological algebra  . . . . . . . . . . 7--20
                 Stephen Donkin   More homological algebra . . . . . . . . 21--30
                 Stephen Donkin   Reductions . . . . . . . . . . . . . . . 31--51
                 Stephen Donkin   The classical groups . . . . . . . . . . 52--75
                 Stephen Donkin   Homological algebra revisited  . . . . . 76--85
                 Stephen Donkin   $ G_2 $  . . . . . . . . . . . . . . . . 86--88
                 Stephen Donkin   $ F_4 $  . . . . . . . . . . . . . . . . 89--132
                 Stephen Donkin   $ E_6 $  . . . . . . . . . . . . . . . . 133--139
                 Stephen Donkin   $ E_7 $  . . . . . . . . . . . . . . . . 140--168
                 Stephen Donkin   $ E_8 $  . . . . . . . . . . . . . . . . 169--226
                 Stephen Donkin   An example and applications  . . . . . . 227--233
                 Stephen Donkin   Miscellany . . . . . . . . . . . . . . . 234--249


Lecture Notes in Mathematics
Volume 1141, 1985

              Klaus Ambos-Spies   Generators of the recursively enumerable
                                  degrees  . . . . . . . . . . . . . . . . 1--28
                  Andreas Blass   Kleene degrees of ultrafilters . . . . . 29--48
                    C. T. Chong   Recursion theory on strongly $ \Sigma_2
                                  $ inadmissible ordinals  . . . . . . . . 49--64
                       P. Clote   Applications of the low-basis theorem in
                                  arithmetic . . . . . . . . . . . . . . . 65--88
      Martin Dietzfelbinger and   
                 Wolfgang Maass   Strong reducibilities in $ \alpha $- and
                                  $ \beta $-recursion theory . . . . . . . 89--120
             Peter A. Fejer and   
               Richard A. Shore   Embeddings and extensions of embeddings
                                  in the r.e. tt and wtt-degrees . . . . . 121--140
                 Sy D. Friedman   An immune partition of the ordinals  . . 141--147
                  E. R. Griffor   An application of $ \Pi $ $_2^1$-logic
                                  to descriptive set theory  . . . . . . . 148--158
            Peter G. Hinman and   
                 Stathis Zachos   Probabilistic machines, oracles, and
                                  quantifiers  . . . . . . . . . . . . . . 159--192
                   Steven Homer   Minimal polynomial degrees of
                                  nonrecursive sets  . . . . . . . . . . . 193--202
          Carl G. Jockusch, Jr.   Genericity for recursively enumerable
                                  sets . . . . . . . . . . . . . . . . . . 203--232
           Alexander S. Kechris   Sets of everywhere singular functions    233--244
        Antonín Ku\vcera   Measure, $ \Pi $ $_1^0$-classes and
                                  complete extensions of PA  . . . . . . . 245--259
                  Manuel Lerman   On the ordering of classes in high/low
                                  hierarchies  . . . . . . . . . . . . . . 260--270
                  A. Nerode and   
                   J. B. Remmel   Generic objects in recursion theory  . . 271--314
          Piergiorgio Odifreddi   The structure of $m$-degrees . . . . . . 315--332
                Gerald E. Sacks   Some open questions in recursion theory  333--342
                 Juichi Shinoda   Absolute type $2$ objects  . . . . . . . 343--356
             Stephen G. Simpson   Recursion theoretic aspects of the dual
                                  Ramsey theorem . . . . . . . . . . . . . 357--371
             Theodore A. Slaman   Reflection and the priority method in
                                  $E$-recursion theory . . . . . . . . . . 372--404


Lecture Notes in Mathematics
Volume 1142, 1985

                   M. Auslander   Finite type implies isolated singularity 1--4
                  Jan Brinkhuis   Normal integral bases and embeddings of
                                  fields . . . . . . . . . . . . . . . . . 5--17
                  J. Brzezinski   Brauer--Severi schemes of orders . . . . 18--49
          Colin J. Bushnell and   
                  Irving Reiner   A survey of analytic methods in
                                  noncommutative number theory . . . . . . 50--87
                 Jon F. Carlson   The variety of a module  . . . . . . . . 88--95
                G. H. Cliff and   
                    A. R. Weiss   Crossed product orders and wild
                                  ramification . . . . . . . . . . . . . . 96--104
              Maryse Desrochers   Self-duality over the maximal order and
                                  torsion Galois modules . . . . . . . . . 105--111
                Ernst Dieterich   Representation types of group rings over
                                  complete discrete valuation rings II . . 112--125
               A. Fröhlich   Tame representations, local principal
                                  orders and local Weil groups . . . . . . 126--149
            Robert M. Guralnick   Modules under ground ring extension  . . 150--156
         Wilberd van der Kallen   The Merkurjev--Suslin theorem  . . . . . 157--168
             H. W. Lenstra, Jr.   Galois theory and primality testing  . . 169--189
               Leon R. McCulloh   Stickelberger ideals, monoid rings, and
                                  Galois module structure  . . . . . . . . 190--204
             Frank De Meyer and   
                 Richard Mollin   The Schur group  . . . . . . . . . . . . 205--210
                  Robert Oliver   Projective class groups of integral
                                  group rings: a survey  . . . . . . . . . 211--232
                  Wolfgang Rump   Module valuations and representations of
                                  completely reducible orders  . . . . . . 233--238
                  Per Salberger   Galois descent and class groups of
                                  orders . . . . . . . . . . . . . . . . . 239--255
                Robert Sandling   The isomorphism problem for group rings:
                                  a survey . . . . . . . . . . . . . . . . 256--288
                   M. J. Taylor   Relative Galois module structure of
                                  rings of integers  . . . . . . . . . . . 289--306


Lecture Notes in Mathematics
Volume 1143, 1985

                    Aloys Krieg   Integral and Hermitian matrices  . . . . 1--41
                    Aloys Krieg   Modular group and fundamental domain . . 42--70
                    Aloys Krieg   Modular forms  . . . . . . . . . . . . . 71--98
                    Aloys Krieg   Theta-series . . . . . . . . . . . . . . 99--135
                    Aloys Krieg   Eisenstein- and Poincaré-series . . . . . 136--181
                    Aloys Krieg   Modular functions  . . . . . . . . . . . 182--195


Lecture Notes in Mathematics
Volume 1144, 1985

              Steven A. Bleiler   Prime tangles and composite knots  . . . 1--13
                    David Gabai   An internal hierarchy for $3$-manifolds  14--17
                    John Hempel   The finitely generated intersection
                                  property for Kleinian groups . . . . . . 18--24
             Hugh M. Hilden and   
 María Teresa Lozano and   
José María Montesino   Universal knots  . . . . . . . . . . . . 25--59
              Craig Hodgson and   
               J. H. Rubinstein   Involutions and isotopies of lens spaces 60--96
               R. A. Litherland   Symmetries of twist-spun knots . . . . . 97--107
                     D. D. Long   Constructing pseudo-Anosov maps  . . . . 108--114
                Kenneth Millett   Transversality for surfaces in foliated
                                  $3$-manifolds  . . . . . . . . . . . . . 115--133
                 Kunio Murasugi   $2$-Heights of links . . . . . . . . . . 134--137
             Martin Scharlemann   $3$-Manifolds with $ H_2 (A, \partial A)
                                  = 0$ and a conjecture of Stallings . . . 138--145
           James M. Van Buskirk   Positive knots have positive Conway
                                  polynomials  . . . . . . . . . . . . . . 146--159


Lecture Notes in Mathematics
Volume 1145, 1985

                Gerhard Winkler   Introduction . . . . . . . . . . . . . . 1--5
                Gerhard Winkler   Notations, definitions and conventions   6--12
                Gerhard Winkler   Basic concepts from noncompact Choquet
                                  theory . . . . . . . . . . . . . . . . . 13--53
                Gerhard Winkler   Four aspects of Choquet order  . . . . . 54--74
                Gerhard Winkler   Inverse limits of simplices  . . . . . . 75--93
                Gerhard Winkler   Inverse limits of spaces of measures . . 94--122


Lecture Notes in Mathematics
Volume 1146, 1985

                   Dina Bartels   Quasihomogene affine Varietäten für $ {\rm
                                  SL}(2, \mathbb {C}) $. (German) [] . . . 1--105
             José Bertin   Automorphismes des surfaces non
                                  compl\`etes, groupes fuchsiens et
                                  singularités quasihomog\`enes. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 106--126
                     J. Dixmier   Quelques résultats et conjectures
                                  concernant les séries de Poincaré des
                                  invariants des formes binaires. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 127--160
                 A. Lascoux and   
      M.-P. Schützenberger   Interpolation de Newton \`a plusieurs
                                  variables. (French) [] . . . . . . . . . 161--175
              Ulrich Oberst and   
                  Arne Dür   A constructive characterization of all
                                  optimal linear codes . . . . . . . . . . 176--213
              Ulrich Oberst and   
                  Arne Dür   Actions of formal groups on formal
                                  schemes. Applications to control theory
                                  and combinatorics  . . . . . . . . . . . 214--269
              Thierry Levasseur   Complexe bidualisant en alg\`ebre non
                                  commutative. (French) [] . . . . . . . . 270--287
                J. C. McConnell   The $K$-theory of filtered rings and
                                  skew Laurent extensions  . . . . . . . . 288--298
                 T. A. Springer   Microlocalisation algébrique. (French) [] 299--316
                    M. Sweedler   Introduction to the algebraic theory of
                                  positive characteristic differential
                                  geometry . . . . . . . . . . . . . . . . 317--324
                 Klaus Bongartz   Quadratic forms and finite
                                  representation type  . . . . . . . . . . 325--339
              Alain Bouvier and   
                  Marco Fontana   The catenarian property of the
                                  polynomial rings over a Prüfer domain . . 340--354
               Kenneth A. Brown   Ore sets in Noetherian rings . . . . . . 355--366
             Maria Contessa and   
          Léonce Lesieur   $D$-anneaux et anneaux
                                  $F$-semi-parfaits. (French) [] . . . . . 367--404
              S. Jòndrup   Hereditary P.I. algebras . . . . . . . . 405--420


Lecture Notes in Mathematics
Volume 1147, 1985

                 Mario Wschebor   Périm\`etres d'ensembles boréliens dans $
                                  \mathbb {R}^d $. (French) [] . . . . . . 1--10
                 Mario Wschebor   Existence d'extrema locaux. (French) []  11--27
                 Mario Wschebor   Formules de Rice. (French) []  . . . . . 28--87
                 Mario Wschebor   Approximation du temps local du
                                  processus de Wiener \`a $d$-param\`etres
                                  $ (d \geq 1)$. (French) [] . . . . . . . 88--106


Lecture Notes in Mathematics
Volume 1148, 1985

                    Mark A. Kon   Introduction . . . . . . . . . . . . . . 1--9
                    Mark A. Kon   Value functions on a canonical ensemble  10--15
                    Mark A. Kon   Integrals of independent random
                                  variables  . . . . . . . . . . . . . . . 16--27
                    Mark A. Kon   Singular central limit theorems, I . . . 28--38
                    Mark A. Kon   Singular central limit theorems, II  . . 39--50
                    Mark A. Kon   Physical applications  . . . . . . . . . 51--65
                    Mark A. Kon   The Lebesgue integral  . . . . . . . . . 66--82
                    Mark A. Kon   Integrability criteria and some
                                  applications . . . . . . . . . . . . . . 83--103
                    Mark A. Kon   Joint distributions and applications . . 104--112


Lecture Notes in Mathematics
Volume 1149, 1985

                M. E. Adams and   
                    D. M. Clark   Universal terms for pseudo-complemented
                                  distributive lattices and Heyting
                                  algebras . . . . . . . . . . . . . . . . 1--16
          H. Andréka and   
                S. D. Comer and   
               I. Németi   Clones of operations on relations  . . . 17--21
                  M. K. Bennett   Separation conditions on convexity
                                  lattices . . . . . . . . . . . . . . . . 22--36
                       Alan Day   Some independence results in the
                                  co-ordinization of Arguesian lattices    37--45
                 Philip Dwinger   Unary operations on completely
                                  distributive complete lattices . . . . . 46--81
                   Ralph Freese   Connected components of the covering
                                  relation in free lattices  . . . . . . . 82--93
            Bernhard Ganter and   
                Thomas Ihringer   Varieties with linear subalgebra
                                  geometries . . . . . . . . . . . . . . . 94--100
   Octavio C. García and   
                  Walter Taylor   Generalized commutativity  . . . . . . . 101--122
                 A. M. W. Glass   The word and isomorphism problems in
                                  universal algebra  . . . . . . . . . . . 123--128
                    Mark Haiman   Linear lattice proof theory: an overview 129--141
                    Denis Higgs   Interpolation antichains in lattices . . 142--149
               Jaroslav Je\vzek   Subdirectly irreducible and simple
                                  Boolean algebras with endomorphisms  . . 150--162
                   Emil W. Kiss   A note on varieties of graph algebras    163--166
              George F. McNulty   How to construct finite algebras which
                                  are not finitely based . . . . . . . . . 167--174
                   Roger Maddux   Finite integral relation algebras  . . . 175--197
                   J. B. Nation   Some varieties of semidistributive
                                  lattices . . . . . . . . . . . . . . . . 198--223
                Don Pigozzi and   
                     J. Sichler   Homomorphisms of partial and of complete
                                  Steiner triple systems and quasigroups   224--237
                   A. F. Pixley   Principal congruence formulas in
                                  arithmetical varieties . . . . . . . . . 238--254
         Anna B. Romanowska and   
           Jonathan D. H. Smith   From affine to projective geometry via
                                  convexity  . . . . . . . . . . . . . . . 255--269
             Steven T. Tschantz   More conditions equivalent to congruence
                                  modularity . . . . . . . . . . . . . . . 270--282


Lecture Notes in Mathematics
Volume 1150, 1985

                Bernhard Kawohl   Introduction . . . . . . . . . . . . . . 1--6
                Bernhard Kawohl   Rearrangements . . . . . . . . . . . . . 7--99
                Bernhard Kawohl   Maximum principles . . . . . . . . . . . 100--122


Lecture Notes in Mathematics
Volume 1151, 1985

           A. M. A. Abou-El-Ela   A stability result for the solutions of
                                  a certain system of third-order
                                  differential equations . . . . . . . . . 1--8
                    H.-D. Alber   A local existence theorem for the
                                  quasilinear wave equation with initial
                                  values of bounded variation  . . . . . . 9--24
               Stuart S. Antman   Bifurcation problems associated with
                                  nonlinear wave propagation . . . . . . . 25--34
                  Bernd Aulbach   Conditions for a limit set to be a
                                  singleton  . . . . . . . . . . . . . . . 35--41
                        J. Bell   A hydrodynamical model of the sea hare's
                                  propulsive mechanism . . . . . . . . . . 42--48
                      I. Bihari   Periodic solutions of some second order
                                  nonlinear differential equations with
                                  periodic coefficients  . . . . . . . . . 49--59
                      M. Biroli   Wiener obstacles for the biharmonic
                                  operator . . . . . . . . . . . . . . . . 60--67
               Norman Bleistein   Inverse methods for reflector imaging    68--76
                  N. F. Britton   Travelling wave front solutions of a
                                  differential-difference equation arising
                                  in the modelling of myelinated nerve
                                  axon . . . . . . . . . . . . . . . . . . 77--89
              Gail A. Carpenter   The non-parametric influence of light on
                                  mammalian circadian rhythms  . . . . . . 90--108
          Raffaele Chiappinelli   On bifurcation for nondifferentiable
                                  perturbations of selfadjoint operators   109--114
             Yuan-Shun Chin and   
                    Yuanxun Qin   On surfaces defined by ordinary
                                  differential equations: a new approach
                                  to Hilbert's 16th Problem  . . . . . . . 115--131
 D\~ung Xuân Nguy\cftilen   Self-adjointness for general elliptic
                                  operators with Sobolev-type coefficients 132--141
               Á. Elbert   On a Nehari's constant . . . . . . . . . 142--147
            J. Fleckinger-Pelle   Asymptotics of eigenvalues for some
                                  `non-definite' elliptic problems . . . . 148--156
                 I. M. Gali and   
             H. A. El-Saify and   
                S. A. El-Zahabi   Optimal control of a system governed by
                                  hyperbolic operator  . . . . . . . . . . 157--163
              Harry Gingold and   
                  Po-Fang Hsieh   A global study of a Hamiltonian system
                                  with multi turning points  . . . . . . . 164--171
                S. R. Grace and   
                    B. S. Lalli   Some further results on oscillatory
                                  behavior of solutions of nth order delay
                                  differential equations . . . . . . . . . 172--182
                    P. Grindrod   A model for a myelinated nerve axon  . . 183--191
                 Ben Yu Guo and   
                  B. D. Sleeman   Spatial patterning of the spruce budworm
                                  in the presence of defoliation . . . . . 192--203


Lecture Notes in Mathematics
Volume 1152, 1985

                   Harold Widom   Introduction . . . . . . . . . . . . . . 1--15
                   Harold Widom   Derivation of the series . . . . . . . . 16--35
                   Harold Widom   The Szeg\Ho and heat expansions  . . . . 36--41
                   Harold Widom   $ f^{(k)} (\sigma; \tau_i) $ in the
                                  Hermitian case . . . . . . . . . . . . . 42--44
                   Harold Widom   Trace formulas . . . . . . . . . . . . . 45--64
                   Harold Widom   Proof of the Szeg\Ho expansion in the
                                  nonself-adjoint case . . . . . . . . . . 65--94
                   Harold Widom   Proof of the Szeg\Ho expansion in the
                                  self-adjoint case  . . . . . . . . . . . 95--101
                   Harold Widom   Proof of the heat expansion  . . . . . . 102--147


Lecture Notes in Mathematics
Volume 1153, 1985

                   A. de Acosta   On large deviations of sums of
                                  independent random vectors . . . . . . . 1--14
           Kenneth S. Alexander   The non-existence of a universal
                                  multiplier moment for the central limit
                                  theorem  . . . . . . . . . . . . . . . . 15--16
                  D. Austin and   
                  A. Bellow and   
                      N. Bouzar   The Fatou inequality revisited. ---
                                  Variations on a theme by A. Dvoretzky    17--39
               Simeon M. Berman   Limit theorems for sojourns of
                                  stochastic processes . . . . . . . . . . 40--71
                Christer Borell   Intrinsic bounds on some real-valued
                                  stationary random functions  . . . . . . 72--95
                    J. Bourgain   Subspaces of $ L_N^\infty $,
                                  arithmetical diameter and Sidon sets . . 96--127
             Murad S. Taqqu and   
                  Claudia Czado   Reproducing kernel Hilbert space for
                                  some non-Gaussian processes  . . . . . . 128--140
                   R. M. Dudley   An extended Wichura theorem, definitions
                                  of Donsker class, and weighted empirical
                                  distributions  . . . . . . . . . . . . . 141--178
                    X. Fernique   Comparaison de mesures gaussiennes et de
                                  mesures produit dans les espaces de
                                  Fréchet séparables. (French) []  . . . . . 179--197
           Nikos E. Frangos and   
                Louis Sucheston   On convergence and demiconvergence of
                                  block martingales and submartingales . . 198--225
        Evarist Giné and   
               Marjorie G. Hahn   $M$-infinitely divisible random compact
                                  convex sets  . . . . . . . . . . . . . . 226--248
                Bernard Heinkel   On Brunk's law of large numbers in some
                                  type $2$ spaces  . . . . . . . . . . . . 249--257
   J. Hoffmann-Jòrgensen   Necessary and sufficient condition for
                                  the uniform law of large numbers . . . . 258--272
                 Naresh C. Jain   An introduction to large deviations  . . 273--296
              Zbigniew J. Jurek   Random integral representation for
                                  another class of limit laws  . . . . . . 297--309
              Michael Klass and   
                   James Kuelbs   The law of the iterated logarithm in the
                                  $ \ell^p $ spaces  . . . . . . . . . . . 310--322
               Raoul LePage and   
           Bertram M. Schreiber   A square root law for diffusing
                                  particles  . . . . . . . . . . . . . . . 323--328
          Michael B. Marcus and   
                  Gilles Pisier   Stochastic processes with sample paths
                                  in exponential Orlicz spaces . . . . . . 329--358
             Terry R. McConnell   A Skorohod-like representation in
                                  infinite dimensions  . . . . . . . . . . 359--368
              J. Rosi\'nski and   
             W. A. Woyczy\'nski   Moment inequalities for real and vector
                                  $p$-stable stochastic integrals  . . . . 369--386


Lecture Notes in Mathematics
Volume 1154, 1985

          Desineni S. Naidu and   
         Ayalasomayajula K. Rao   Singular perturbation analysis of
                                  difference equations in classical form   1--40
          Desineni S. Naidu and   
         Ayalasomayajula K. Rao   Modelling and analysis of singularly
                                  perturbed difference equations in state
                                  space form . . . . . . . . . . . . . . . 41--119
          Desineni S. Naidu and   
         Ayalasomayajula K. Rao   Three-time-scale difference equations
                                  with application to open-loop optimal
                                  control problem  . . . . . . . . . . . . 120--147
          Desineni S. Naidu and   
         Ayalasomayajula K. Rao   Singularly perturbed nonlinear
                                  difference equations and closed-loop
                                  discrete optimal control problem . . . . 148--188


Lecture Notes in Mathematics
Volume 1155, 1985

               L. G. Afanas'eva   On periodic distribution of waiting-time
                                  process  . . . . . . . . . . . . . . . . 1--20
           E. V. Bulinskaya and   
               S. A. Mol\vcanov   Asymptotic behaviour of some random
                                  fields . . . . . . . . . . . . . . . . . 21--46
       A. I. Il'inski\uì   Normality of a multidimensional
                                  infinitely divisible distribution which
                                  coincides with a normal distribution in
                                  a cone . . . . . . . . . . . . . . . . . 47--59
                    A. M. Kagan   Partial sufficiency of linear forms  . . 60--80
                A. M. Kagan and   
                   A. A. Zinger   A refinement of Darmois--Skitovitch and
                                  Heyde theorems . . . . . . . . . . . . . 81--94
              V. V. Kalashnikov   The rate of convergence of Erlang
                                  distribution to the degenerate one . . . 95--101
          V. V. Kalashnikov and   
 S. Yu. Vsekhsvyat\cydotski\u\i   Metric estimates of the first occurrence
                                  time in regenerative processes . . . . . 102--130
             L. B. Klebanov and   
                   S. T. Rachev   Stability of the lack-of-memory property
                                  in a finite number of points . . . . . . 131--143
                  V. M. Kruglov   The central limit theorem and weak
                                  convergence of maxima of sums of
                                  independent random variables . . . . . . 144--179
         I. A. Kuznezova-Sholpo   Compound metrics with fixed minimal ones 180--189
               V. K. Malinovsky   On limit theorems for the number of
                                  Markov renewals  . . . . . . . . . . . . 190--222
              Apostol Obretenov   Some characterization of bivariate
                                  distributions based on hazard rate
                                  properties . . . . . . . . . . . . . . . 223--241
            Yu. D. Okoneshnikov   Confidence intervals for the parameters
                                  of strongly stable laws  . . . . . . . . 242--255
            I. V. Ostrovski\u\i   Generalization of the Titchmarsh
                                  convolution theorem and the
                                  complex-valued measures uniquely
                                  determined by their restrictions to a
                                  half-line  . . . . . . . . . . . . . . . 256--283
                   E. Pantcheva   Limit theorems for extreme order
                                  statistics under nonlinear normalization 284--309
          Agnieszka Pluci\'nska   A characterization of Gaussian
                                  distribution by the linearity of
                                  conditional moments  . . . . . . . . . . 310--319
                   S. T. Rachev   Extreme functionals in the space of
                                  probability measures . . . . . . . . . . 320--348
                S. M. Shcolnick   On the ratio of independent stable
                                  random variables . . . . . . . . . . . . 349--354
                  V. V. Slavova   On the Berry--Esseen bound for Student's
                                  statistic  . . . . . . . . . . . . . . . 355--390
 S. Yu. Vsekhsvyat\cydotski\u\i   Some new results in a theorem due to
                                  Renyi  . . . . . . . . . . . . . . . . . 391--400


Lecture Notes in Mathematics
Volume 1156, 1985

               John K. Beem and   
            Paul E. Ehrlich and   
           Steen Markvorsen and   
            Gregory J. Galloway   A Toponogov splitting theorem for
                                  Lorentzian manifolds . . . . . . . . . . 1--13
                  Aurel Bejancu   A survey on CR-submanifolds of Kählerian
                                  manifolds  . . . . . . . . . . . . . . . 14--23
        Pierre H. Bérard   Isoperimetric inequalities, heat
                                  equation and geometric applications  . . 24--29
                Carol Blomstrom   Symmetric immersions in
                                  pseudo-Riemannian space forms  . . . . . 30--45
                  J. Bolton and   
             T. J. Willmore and   
                 L. M. Woodward   Immersions of surfaces into space forms  46--58
             Marcos Dajczer and   
               Peter Dombrowski   Examples of $1$-codimensional non
                                  totally geodesic isometric immersions of
                                  pseudo-Riemannian space forms with the
                                  same positive constant curvature and the
                                  same space-like rank . . . . . . . . . . 59--73
            Andrzej Drdzi\'nski   Riemannian manifolds with harmonic
                                  curvature  . . . . . . . . . . . . . . . 74--85
               Patrick Eberlein   Structure of manifolds of nonpositive
                                  curvature  . . . . . . . . . . . . . . . 86--153
          Robert B. Gardner and   
            William F. Shadwick   Equivalence of one dimensional
                                  Lagrangian field theories in the plane I 154--179
                Th. Hasanis and   
               D. Koutroufiotis   Applications of the Gauss mapping for
                                  hypersurfaces of the sphere  . . . . . . 180--193
                 Stefana Hineva   Submanifolds and the second fundamental
                                  tensor . . . . . . . . . . . . . . . . . 194--203
                  David Hoffman   Embedded minimal surfaces, computer
                                  graphics and elliptic functions  . . . . 204--215
               F. W. Kamber and   
                    Ph. Tondeur   The Bernstein problem for foliations . . 216--218
              Michael Kozlowski   Examples concerning the spectrum of a
                                  closed Riemannian manifold . . . . . . . 219--226
             W. Kühnel and   
                     U. Pinkall   Tight smoothing of some polyhedral
                                  surfaces . . . . . . . . . . . . . . . . 227--239
                  Tetsuya Ozawa   On the number of tritangencies of a
                                  surface in $ {\rm IR}^3 $  . . . . . . . 240--253
                 Targo Pavlista   Small eigenvalues of the Laplacian and
                                  examples . . . . . . . . . . . . . . . . 254--263
              Helmut Reckziegel   Horizontal lifts of isometric immersions
                                  into the bundle space of a
                                  pseudo-Riemannian submersion . . . . . . 264--279
                Antonio Ros and   
              Paul Verheyen and   
            Leopold Verstraelen   Positively curved minimal submanifolds   280--295
                 Angela Schwenk   Affinsphären mit ebenen Schattengrenzen.
                                  (German) []  . . . . . . . . . . . . . . 296--315


Lecture Notes in Mathematics
Volume 1157, 1985

                  Harold Levine   Introduction . . . . . . . . . . . . . . 1--5
                  Harold Levine   The singularities of stable maps of
                                  three manifolds into the plane . . . . . 6--24
                  Harold Levine   Canonical coordinatized product
                                  neighborhoods ($ C^2 $ PN) . . . . . . . 25--46
                  Harold Levine   Lifting stable maps of three manifolds
                                  into the plane to immersions in $
                                  \mathbb {R}^4 $  . . . . . . . . . . . . 47--128


Lecture Notes in Mathematics
Volume 1159, 1985

                   Shmuel Agmon   Bounds on exponential decay of
                                  eigenfunctions of Schrödinger operators   1--38
                    Volker Enss   Quantum scattering theory for two- and
                                  three-body systems with potentials of
                                  short and long range . . . . . . . . . . 39--176
                    Barry Simon   Some aspects of the theory of Schrödinger
                                  operators  . . . . . . . . . . . . . . . 177--203
                  J. Bellissard   Stability and instability in quantum
                                  mechanics  . . . . . . . . . . . . . . . 204--229
                G. Jona-Lasinio   Some recent applications of stochastic
                                  processes in quantum mechanics . . . . . 230--241
                   Kenji Yajima   The quasi-classical limit of scattering
                                  amplitude- finite range potentials . . . 242--263
                   Kenji Yajima   Back Matter  . . . . . . . . . . . . . . 265--281


Lecture Notes in Mathematics
Volume 1160, 1985

          Jan-Cees van der Meer   Introduction . . . . . . . . . . . . . . 1--3
          Jan-Cees van der Meer   Preliminaries  . . . . . . . . . . . . . 4--18
          Jan-Cees van der Meer   Normal forms for Hamiltonian functions   19--45
          Jan-Cees van der Meer   Fibration preserving normal forms for
                                  energy-momentum maps . . . . . . . . . . 46--65
          Jan-Cees van der Meer   The Hamiltonian Hopf bifurcation . . . . 66--83
          Jan-Cees van der Meer   Nonintegrable systems at resonance . . . 84--94
          Jan-Cees van der Meer   The restricted problem of three bodies   95--103


Lecture Notes in Mathematics
Volume 1161, 1985

             Stefan Hildebrandt   Harmonic mappings of Riemannian
                                  manifolds  . . . . . . . . . . . . . . . 1--117
               Jürgen Jost   Lectures on harmonic maps  . . . . . . . 118--192
                  J. H. Sampson   Harmonic maps in Kähler geometry  . . . . 193--205
                     Leon Simon   Isolated singularities of extrema of
                                  geometric variational problems . . . . . 206--277
                     Leon Simon   Back Matter  . . . . . . . . . . . . . . 278--289


Lecture Notes in Mathematics
Volume 1162, 1985

    S. J. L. van Eijndhoven and   
                    J. de Graaf   Prologue . . . . . . . . . . . . . . . . 1--9
    S. J. L. van Eijndhoven and   
                    J. de Graaf   Analyticity spaces, trajectory spaces
                                  and linear mappings between them . . . . 10--44
    S. J. L. van Eijndhoven and   
                    J. de Graaf   Illustrative examples of analyticity
                                  spaces . . . . . . . . . . . . . . . . . 45--76
    S. J. L. van Eijndhoven and   
                    J. de Graaf   Compound spaces, tensor products and
                                  kernel theorems  . . . . . . . . . . . . 77--132
    S. J. L. van Eijndhoven and   
                    J. de Graaf   Algebras of continuous linear mappings
                                  on analyticity spaces and trajectory
                                  spaces . . . . . . . . . . . . . . . . . 133--208
    S. J. L. van Eijndhoven and   
                    J. de Graaf   A mathematical interpretation of Dirac's
                                  formalism for quantum mechanics  . . . . 209--251


Lecture Notes in Mathematics
Volume 1163, 1985

                    A. Barugola   On some properties of an absorptive area
                                  and a chaotic area for an $ R^2
                                  $-endomorphism . . . . . . . . . . . . . 1--6
                W. A. Beyer and   
                 P. J. Channell   A functional equation for the embedding
                                  of a homeomorphism of the interval into
                                  a flow . . . . . . . . . . . . . . . . . 7--13
                  J.-C. Cathala   On the bifurcation between a chaotic
                                  area of $ T^K $ and a chaotic area of
                                  $T$  . . . . . . . . . . . . . . . . . . 14--22
                 M. Cosnard and   
                   J. Demongeot   On the definitions of attractors . . . . 23--31
                    Serge Dubuc   Functional equations connected with
                                  peculiar curves  . . . . . . . . . . . . 33--40
             Jean Écalle   Iteration and analytic classification of
                                  local diffeomorphisms of $ \mathbb
                                  {C}^\nu $  . . . . . . . . . . . . . . . 41--48
               Maria Etgens and   
                  Zenon Moszner   On pseudo-processes and their extensions 49--58
         Wolfgang Förg-Rob   The pilgerschritt transform in Lie
                                  algebras . . . . . . . . . . . . . . . . 59--71
     Wolfgang Förg-Rob and   
                 Norbert Netzer   Product-integration and one-parameter
                                  subgroups of linear Lie-groups . . . . . 72--82
       Géza Györgyi   The perturbative method for discrete
                                  processes and its physical application   83--94
               Gilbert Helmberg   Itineraries under unimodal maps  . . . . 95--100
               Janusz Matkowski   Cauchy functional equation on a
                                  restricted domain and commuting
                                  functions  . . . . . . . . . . . . . . . 101--106
        Günther H. Mehring   On a criterion of iteration in rings of
                                  formal power series  . . . . . . . . . . 107--114
                 Christian Mira   Rotation sequences and bifurcations
                                  structure of one-dimensional
                                  endomorphisms  . . . . . . . . . . . . . 115--124
            Micha\l Misiurewicz   Chaos almost everywhere  . . . . . . . . 125--130
                    C. Praagman   Iterations and logarithms of
                                  automorphisms of complete local rings    131--134
                       L. Reich   On a differential equation arising in
                                  iteration theory in rings of formal
                                  power series in one variable . . . . . . 135--148
             O. E. Rössler   Long line attractors . . . . . . . . . . 149--160
                       A. Sabri   Properties of invariant curves near a
                                  known invariant curve  . . . . . . . . . 161--169
                 Jens Schwaiger   Normal forms for systems of formal power
                                  series commuting in pairs and iteration
                                  problems . . . . . . . . . . . . . . . . 170--176


Lecture Notes in Mathematics
Volume 1164, 1985

                Mauro Meschiari   A classification of real and complex
                                  finite dimensional $ J* $-algebras . . . 1--84
               John H. Rawnsley   $F$-structures, $F$-twistor spaces and
                                  harmonic maps  . . . . . . . . . . . . . 85--159
                  Simon Salamon   Harmonic and holomorphic maps  . . . . . 161--224


Lecture Notes in Mathematics
Volume 1165, 1985

            Vincenzo Ancona and   
               Alessandro Silva   Numerically effective bundles on
                                  Moi\vsezon and strongly pseudoconvex
                                  manifolds  . . . . . . . . . . . . . . . 1--13
                  Bruno Bigolin   Remarques sur les idéaux de polynômes.
                                  (French) []  . . . . . . . . . . . . . . 14--29
           Robert A. Blumenthal   Connections on foliated manifolds  . . . 30--35
       Zygmunt Charzy\'nski and   
       Jacek Ch\kadzy\'nski and   
        Przemys\law Skibi\'nski   A Contribution to Keller's Jacobian
                                  conjecture . . . . . . . . . . . . . . . 36--51
             Albert Crumeyrolle   Constructions d'alg\`ebres de Lie
                                  graduées orthosymplectiques et
                                  conformosymplectiques minkowskiennes.
                                  (French) []  . . . . . . . . . . . . . . 52--83
             Albert Crumeyrolle   Constante de Planck et géométrie
                                  symplectique. (French) []  . . . . . . . 84--107
            Stan\vco Dimiev and   
                  Tsvetan Pelov   Almost pluriharmonic functions and
                                  symplectic mappings on generalized Kähler
                                  manifolds  . . . . . . . . . . . . . . . 108--121
            Arturo Vaz Ferreira   On Oka's analytic set-valued functions
                                  and spectral theory  . . . . . . . . . . 122--135
                    Guy Laville   Sur l'équation de Dirac avec champ
                                  électromagnétique quelconque. (French) []  136--149
Christine Laurent-Thiébaut   Régularisation sur une variété. (French) [] 150--183
        Julian \Lawrynowicz and   
           Jakub Rembieli\'nski   Hurwitz pairs equipped with complex
                                  structures . . . . . . . . . . . . . . . 184--195
                    Ewa Ligocka   An open problem on boundary behaviour of
                                  holomorphic mappings . . . . . . . . . . 196--196
                    Ewa Ligocka   The regularity of the weighted Bergman
                                  projections  . . . . . . . . . . . . . . 197--203
                   Masami Okada   Transcendental Bézout estimate by the
                                  logarithmic function in $ \mathbb {C}^n
                                  $  . . . . . . . . . . . . . . . . . . . 204--210
           Christian Okonek and   
                 Heinz Spindler   Das Spektrum torsionsfreier Garben II.
                                  (German) []  . . . . . . . . . . . . . . 211--234
             Wies\law Paw\lucki   Quasi-regular boundary and Stokes'
                                  formula for a sub-analytic leaf  . . . . 235--252
                 Giovanni Porru   On the continuity of the minima of
                                  variational integrals in Orlicz--Sobolev
                                  spaces . . . . . . . . . . . . . . . . . 253--260
           Binyamin Schwarz and   
                   Abraham Zaks   Geometries of the projective matrix
                                  space  . . . . . . . . . . . . . . . . . 261--278
                   Yum-Tong Siu   Ten open problems connected with
                                  Hermitian and Kähler manifolds  . . . . . 279--280
                Jan Stankiewicz   Some open problems on holomorphic
                                  functions of one variable  . . . . . . . 281--282


Lecture Notes in Mathematics
Volume 1166, 1985

                 R. M. Aron and   
                 J. Diestel and   
                  A. K. Rajappa   Weakley continuous functions on Banach
                                  spaces containing $ \ell_1 $ . . . . . . 1--3
                    J. Bourgain   Some remarks on the Banach space
                                  structure of the ball-algebras . . . . . 4--10
         Carmen Silvia Cardassi   Numerical radius attaining operators . . 11--14
              Bruce L. Chalmers   Absolute projection constants via
                                  absolute minimal projections . . . . . . 15--21
                    A. M. Davie   Matrix norms related to Grothendieck's
                                  inequality . . . . . . . . . . . . . . . 22--26
             Nicolae Dinculeanu   Characterization of weak compactness in
                                  function spaces by means of uniform
                                  convergence of extended operators  . . . 27--37
                    G. A. Edgar   Complex martingale convergence . . . . . 38--59
                    X. Fernique   Laws of random Gaussian functions, some
                                  inequalities . . . . . . . . . . . . . . 60--64
               N. Ghoussoub and   
                      B. Maurey   On the Radon--Nikodým property in
                                  function spaces  . . . . . . . . . . . . 65--71
                  Sylvie Guerre   Symmetric sequences in $ L^p $, $ l \leq
                                  p < + \infty $  . . . . . . . . . . . . . 72--73
             Richard Haydon and   
       Mireille Lévy and   
                   Yves Raynaud   On the local structure of $ L_p(X) $ . . 74--79
               Hans Jarchow and   
                     Urs Matter   On weakly compact operators on $ \ell $
                                  (k)-spaces . . . . . . . . . . . . . . . 80--88
                   D. Khavinson   A note on Toeplitz operators . . . . . . 89--94
              Thomas A. Metzger   On the ($F$) property  . . . . . . . . . 95--98
                   V. D. Milman   Volume approach and iteration procedures
                                  in local theory of normed spaces . . . . 99--105
                   V. D. Milman   Random subspaces of proportional
                                  dimension of finite dimensional normed
                                  spaces: Approach through the
                                  isoperimetric inequality . . . . . . . . 106--115
           Richard D. Neidinger   Factoring operators through
                                  hereditarily-$ \ell^P $ spaces . . . . . 116--128
              Haskell Rosenthal   The Lie algebra of a Banach space  . . . 129--157
                W. M. Ruess and   
                  C. P. Stegall   Weak*-denting points in duals of
                                  operator spaces  . . . . . . . . . . . . 158--168
               W. Schachermayer   Some remarks concerning the
                                  Krein--Milman and the Radon--Nikodým
                                  property of Banach spaces  . . . . . . . 169--176


Lecture Notes in Mathematics
Volume 1167, 1985

                    Amir Assadi   Lower Postnikov terms of generalized CW
                                  complexes and semi-simple actions  . . . 1--23
             Joan S. Birman and   
             Bronis\law Wajnryb   $3$-fold branched coverings and the
                                  mapping class group of a surface . . . . 24--46
                 J. C. Cantrell   Locally flat embeddings of three
                                  dimensional manifolds in four
                                  dimensional manifolds  . . . . . . . . . 47--49
               Jeff Cheeger and   
                   James Simons   Differential characters and geometric
                                  invariants . . . . . . . . . . . . . . . 50--80
                    James Eells   Minimal branched immersions into
                                  three-manifolds  . . . . . . . . . . . . 81--94
             William M. Goldman   Representations of fundamental groups of
                                  surfaces . . . . . . . . . . . . . . . . 95--117
                    Alfred Gray   Comparison theorems for volumes in
                                  surfaces . . . . . . . . . . . . . . . . 118--124
                  Karsten Grove   The isometry-invariant geodesics
                                  problem: Closed and open . . . . . . . . 125--140
               Morris W. Hirsch   Attractors for discrete-time monotone
                                  dynamical systems in strongly ordered
                                  spaces . . . . . . . . . . . . . . . . . 141--153
                Cynthia Hog and   
              Martin Lustig and   
               Wolfgang Metzler   Presentation classes, $3$-manifolds and
                                  free products  . . . . . . . . . . . . . 154--167
            Yoshinobu Kamishima   Proper actions on homogeneous spaces . . 168--179
              Ravi Kulkarni and   
              Kyung Bai Lee and   
                  Frank Raymond   Deformation spaces for Seifert manifolds 180--216
         Charles Livingston and   
                    Paul Melvin   Abelian invariants of satellite knots    217--227
             John W. Morgan and   
                Peter B. Shalen   An introduction to compactifying spaces
                                  of hyperbolic structures by actions on
                                  trees  . . . . . . . . . . . . . . . . . 228--240
          Walter D. Neumann and   
                     Don Zagier   A note on an invariant of Fintushel and
                                  Stern  . . . . . . . . . . . . . . . . . 241--244
                    Frank Quinn   Handlebodies and $2$-complexes . . . . . 245--259
                 Jerrold Siegel   Extrema associated with homotopy classes
                                  of maps  . . . . . . . . . . . . . . . . 260--267
                  C. T. C. Wall   Geometries and geometric structures in
                                  real dimension $4$ and complex dimension
                                  $2$  . . . . . . . . . . . . . . . . . . 268--292


Lecture Notes in Mathematics
Volume 1168, 1985

                   S. S. Agaian   Introduction . . . . . . . . . . . . . . 1--10
                   S. S. Agaian   Construction of classic Hadamard
                                  matrices . . . . . . . . . . . . . . . . 11--102
                   S. S. Agaian   Construction of generalized Hadamard
                                  matrices . . . . . . . . . . . . . . . . 103--133
                   S. S. Agaian   Application of Hadamard matrices . . . . 134--177


Lecture Notes in Mathematics
Volume 1169, 1985

        William Allan Light and   
            Elliott Ward Cheney   An introduction to tensor product spaces 1--34
        William Allan Light and   
            Elliott Ward Cheney   Proximinality  . . . . . . . . . . . . . 35--47
        William Allan Light and   
            Elliott Ward Cheney   The alternating algorithm  . . . . . . . 48--55
        William Allan Light and   
            Elliott Ward Cheney   Central proximity maps . . . . . . . . . 56--59
        William Allan Light and   
            Elliott Ward Cheney   The Diliberto--Straus algorithm in $ C(S
                                  \times T) $  . . . . . . . . . . . . . . 60--66
        William Allan Light and   
            Elliott Ward Cheney   The algorithm of von Golitschek  . . . . 67--74
        William Allan Light and   
            Elliott Ward Cheney   The $ L_1 $-version of the
                                  Diliberto--Straus algorithm  . . . . . . 75--90
        William Allan Light and   
            Elliott Ward Cheney   Estimates of projection constants  . . . 91--102
        William Allan Light and   
            Elliott Ward Cheney   Minimal projections  . . . . . . . . . . 103--112
        William Allan Light and   
            Elliott Ward Cheney   Appendix on the Bochner integral . . . . 113--125
        William Allan Light and   
            Elliott Ward Cheney   Appendix on miscellaneous results in
                                  Banach spaces  . . . . . . . . . . . . . 126--133


Lecture Notes in Mathematics
Volume 1170, 1985

               Brian S. Thomson   Local systems  . . . . . . . . . . . . . 1--43
               Brian S. Thomson   Cluster sets . . . . . . . . . . . . . . 44--69
               Brian S. Thomson   Continuity . . . . . . . . . . . . . . . 70--84
               Brian S. Thomson   Variation of a function  . . . . . . . . 85--114
               Brian S. Thomson   Monotonicity . . . . . . . . . . . . . . 115--137
               Brian S. Thomson   Relations among derivates  . . . . . . . 138--165
               Brian S. Thomson   The Denjoy--Young relations  . . . . . . 166--182


Lecture Notes in Mathematics
Volume 1171, 1985

            J. Dieudonné   Fractions continuées et polynômes
                                  orthogonaux dans l'oeuvre de E. N.
                                  Laguerre. (French) []  . . . . . . . . . 1--15
                  Wolfgang Hahn   Über Orthogonalpolynome, die linearen
                                  Funktionalgleichungen genügen. (German)
                                  [] . . . . . . . . . . . . . . . . . . . 16--35
          George E. Andrews and   
                  Richard Askey   Classical orthogonal polynomials . . . . 36--62
                Walter Gautschi   Some new applications of orthogonal
                                  polynomials  . . . . . . . . . . . . . . 63--73
             Marcel G. de Bruin   Simultaneous Padé approximation and
                                  orthogonality  . . . . . . . . . . . . . 74--83
             André Draux   Orthogonal polynomials with respect to a
                                  linear functional lacunary of order $ S
                                  + 1 $ in a non-commutative algebra . . . 84--91
                 A. Iserles and   
           S. P. Nòrsett   Bi-orthogonal polynomials  . . . . . . . 92--100
              Marek A. Kowalski   Algebraic characterization of
                                  orthogonality in the space of
                                  polynomials  . . . . . . . . . . . . . . 101--110
                    F. Bergeron   Une approche combinatoire de la méthode
                                  de Weisner. (French) []  . . . . . . . . 111--119
 Myriam de Sainte-Catherine and   
          Gérard Viennot   Combinatorial interpretation of
                                  integrals of products of Hermite,
                                  Laguerre and Tchebycheff polynomials . . 120--128
                  Volker Strehl   Polynômes d'Hermite généralisés et identités
                                  de Szeg\Ho --- une version combinatoire.
                                  (French) []  . . . . . . . . . . . . . . 129--138
          Gérard Viennot   A combinatorial theory for general
                                  orthogonal polynomials with extensions
                                  and applications . . . . . . . . . . . . 139--157
                  M. Alfaro and   
              Ma. P. Alfaro and   
            J. J. Guadalupe and   
                       L. Vigil   Correspondance enter suites de polynômes
                                  orthogonaux et fonctions de la boule
                                  unité de $ H_O^\infty (D) $. (French) []  158--163
                    J. de Graaf   Two spaces of generalized functions
                                  based on harmonic polynomials  . . . . . 164--173
              T. H. Koornwinder   Special orthogonal polynomial systems
                                  mapped onto each other by the
                                  Fourier--Jacobi transform  . . . . . . . 174--183
                  Pascal Maroni   Sur quelques espaces de distributions
                                  qui sont des formes linéaires sur
                                  l'espace vectoriel des polynômes.
                                  (French) []  . . . . . . . . . . . . . . 184--194
P. García-Lázaro and   
            F. Marcellán   Christoffel formulas for $n$-kernels
                                  associated to Jordan arcs  . . . . . . . 195--203
            J. J. Guadalupe and   
                   M. L. Rezola   Closure of analytic polynomials in
                                  weighted Jordan curves . . . . . . . . . 204--210
        F. Marcellán and   
                       L. Moral   Minimal recurrence formulas for
                                  orthogonal polynomials on Bernoulli's
                                  lemniscate . . . . . . . . . . . . . . . 211--220
                 D. S. Lubinsky   Even entire functions absolutely
                                  monotone in $ [0, \infty) $ and weights
                                  on the whole real line . . . . . . . . . 221--229


Lecture Notes in Mathematics
Volume 1172, 1985

                  C. Allday and   
                       V. Puppe   On the localization theorem at the
                                  cochain level and free torus actions . . 1--16
             Hans Joachim Baues   On homotopy classification problems of
                                  J. H. C. Whitehead . . . . . . . . . . . 17--55
            Andreas W. M. Dress   Regular polytopes and equivariant
                                  tessellations from a combinatorial point
                                  of view  . . . . . . . . . . . . . . . . 56--72
              Jeanne Duflot and   
         Peter S. Landweber and   
                Robert E. Stong   A problem of Adams on $ H*(B G; Z_p) $   73--79
                  H. Glover and   
                      G. Mislin   On the stable cohomology of the mapping
                                  class group  . . . . . . . . . . . . . . 80--84
                  Hu\`ynh M\`ui   Homology operations derived from modular
                                  coinvariants . . . . . . . . . . . . . . 85--115
               Ulrich Koschorke   Higher order homotopy invariants for
                                  higher dimensional link maps . . . . . . 116--129
                  Ib Madsen and   
                 Martin Raussen   Smooth and locally linear $g$ homotopy
                                  representations  . . . . . . . . . . . . 130--156
                  John McCleary   Closed geodesics on Stiefel manifolds    157--162
            Erik Kjaer Pedersen   Topological $ H_0 \times H_1 $-actions
                                  on spheres and linking numbers . . . . . 163--166
            Tammo tom Dieck and   
             Peter Löffler   Verschlingung von Fixpunktmengen in
                                  Darstellungsformen. I. (German) [] . . . 167--187
                  R. M. W. Wood   Modular Representations of $ {\rm GL}(n,
                                  F_P) $ and Homotopy Theory . . . . . . . 188--203
                      S. Zarati   Quelques propriétés du foncteur $ {\rm
                                  Hom}_{u_p}(, {\rm H}^* V) $. (French) [] 204--209


Lecture Notes in Mathematics
Volume 1173, 1985

                 Hans Delfs and   
               Manfred Knebusch   The basic definitions  . . . . . . . . . 1--86
                 Hans Delfs and   
               Manfred Knebusch   Completions and triangulations . . . . . 87--225
                 Hans Delfs and   
               Manfred Knebusch   Homotopies . . . . . . . . . . . . . . . 226--294


Lecture Notes in Mathematics
Volume 1158, 1986

           Sergio Albeverio and   
 Raphael Hòegh-Krohn and   
                   Helge Holden   Stochastic Lie group-valued measures and
                                  their relations to stochastic curve
                                  integrals, gauge fields and Markov
                                  cosurfaces . . . . . . . . . . . . . . . 1--24
                 Eric A. Carlen   Existence and sample path properties of
                                  the diffusions in Nelson's stochastic
                                  mechanics  . . . . . . . . . . . . . . . 25--51
           A. P. Carverhill and   
             M. J. Chappell and   
                 K. D. Elworthy   Characteristic exponents for stochastic
                                  flows  . . . . . . . . . . . . . . . . . 52--80
             G. F. Dell'Antonio   Electric field and effective dielectric
                                  constant in random media with non-linear
                                  response . . . . . . . . . . . . . . . . 81--103
           Detlef Dürr and   
              Sheldon Goldstein   Remarks on the central limit theorem for
                                  weakly dependent random variables  . . . 104--118
                H. Föllmer   Time reversal on Wiener space  . . . . . 119--129
                  Lconard Gross   Lattice gauge theory; Heuristics and
                                  convergence  . . . . . . . . . . . . . . 130--140
                 Shigeo Kusuoka   The generalized Malliavin calculus based
                                  on Brownian sheet and Bismut's expansion
                                  for large deviation  . . . . . . . . . . 141--157
                    J. T. Lewis   An elementary approach to Brownian
                                  motion on manifolds  . . . . . . . . . . 158--167
                  A. Truman and   
                    J. T. Lewis   The stochastic mechanics of the
                                  ground-state of the hydrogen atom  . . . 168--179
           Tom Lindstròm   Nonstandard analysis and perturbations
                                  of the Laplacian along Brownian paths    180--200
                      Y. Le Jan   Haussdorf dimension for the statistical
                                  equilibrium of stochastics flows . . . . 201--207
                    Hideo Nagai   Stopping problems of symmetric Markov
                                  processes and non-linear variational
                                  inequalites  . . . . . . . . . . . . . . 208--215
                 Mark A. Pinsky   Mean exit times and hitting
                                  probabilities of Brownian motion in
                                  geodesic balls and tubular neighborhoods 216--223
                W. R. Schneider   Rigorous scaling laws for Dyson measures 224--233
        R. Sénéor   Asymptotic freedom: a rigorous approach  234--244
                 R. F. Streater   The fermion stochastic calculus I  . . . 245--257


Lecture Notes in Mathematics
Volume 1174, 1986

             F. William Lawvere   Introduction . . . . . . . . . . . . . . 1--16
                    Walter Noll   Continuum mechanics and geometric
                                  integration theory . . . . . . . . . . . 17--29
            William O. Williams   Structure of continuum physics . . . . . 30--37
                  Kuo-Tsai Chen   On differentiable spaces . . . . . . . . 38--42
          Alfred Frölicher   Cartesian closed categories and analysis
                                  of smooth maps . . . . . . . . . . . . . 43--51
                    Anders Kock   Introduction to synthetic differential
                                  geometry, and a synthetic theory of
                                  dislocations . . . . . . . . . . . . . . 52--68
               Gonzalo E. Reyes   Synthetic reasoning and variable sets    69--82
         Bernard D. Coleman and   
                  David R. Owen   Recent research on the foundations of
                                  thermodynamics . . . . . . . . . . . . . 83--99
                  David R. Owen   Global and local versions of the second
                                  law of thermodynamics  . . . . . . . . . 100--114
            Martin Feinberg and   
                 Richard Lavine   Thermodynamics and the Hahn--Banach
                                  theorem  . . . . . . . . . . . . . . . . 115--117
            Stephen H. Schanuel   What is the length of a potato?  . . . . 118--126


Lecture Notes in Mathematics
Volume 1175, 1986

                   Karl Mathiak   Valuations of fields . . . . . . . . . . 1--29
                   Karl Mathiak   Valuation topologies and the
                                  approximation theorem  . . . . . . . . . 30--50
                   Karl Mathiak   Valued vector spaces . . . . . . . . . . 51--74
                   Karl Mathiak   Projective Hjelmslev spaces  . . . . . . 75--93


Lecture Notes in Mathematics
Volume 1176, 1986

                      J. P. May   Extended powers and $ H_\infty $ ring
                                  spectra  . . . . . . . . . . . . . . . . 1--20
                      J. P. May   Miscellaneous applications in stable
                                  homotopy theory  . . . . . . . . . . . . 21--55
               Mark Steinberger   Homology operations for $ H_\infty $ and
                                  $ H_n $ ring spectra . . . . . . . . . . 56--87
               Robert R. Bruner   The homotopy theory of $ H_\infty $ ring
                                  spectra  . . . . . . . . . . . . . . . . 88--128
               Robert R. Bruner   The homotopy groups of $ H_\infty $ ring
                                  spectra  . . . . . . . . . . . . . . . . 129--168
               Robert R. Bruner   The Adams spectral sequence of $
                                  H_\infty $ ring spectra  . . . . . . . . 169--214
                  J. E. McClure   $ H_\infty $ ring spectra via
                                  space-level homotopy theory  . . . . . . 215--248
                  J. E. McClure   Power operations in $ H_\infty^d $ ring
                                  theories . . . . . . . . . . . . . . . . 249--290
                  J. E. McClure   The $ \bmod p $ $k$-theory of $ Q X$ . . 291--377


Lecture Notes in Mathematics
Volume 1177, 1986

                    Dagmar Baer   Homological properties of wild
                                  hereditary Artin algebras  . . . . . . . 1--12
                 Sheila Brenner   A combinatorial characterisation of
                                  finite Auslander--Reiten quivers . . . . 13--49
             Otto Bretscher and   
                Gordana Todorov   On a theorem of Nazarova and Roiter  . . 50--54
                  Claude Cibils   Hochschild homology of an algebra whose
                                  quiver has no oriented cycles  . . . . . 55--59
                Benedetto Conti   Simply connected algebras of tree-class
                                  $ A_n $ and $ D_n $  . . . . . . . . . . 60--90
               Piotr Dowbor and   
             Helmut Lenzing and   
           Andrzej Skowro\'nski   Galois coverings of algebras by locally
                                  support-finite categories  . . . . . . . 91--93
                 U. Fischbacher   The representation-finite algebras with
                                  at most $3$ simple modules . . . . . . . 94--114
             U. Fischbacher and   
        J. A. de la Peña   Algorithms in representation theory of
                                  algebras . . . . . . . . . . . . . . . . 115--134
                  Werner Geigle   Krull dimension and Artin algebras . . . 135--155
              Dieter Happel and   
           Claus Michael Ringel   The derived category of a tubular
                                  algebra  . . . . . . . . . . . . . . . . 156--180
              Kiyoshi Igusa and   
                Gordana Todorov   A numerical characterization of finite
                                  Auslander--Reiten quivers  . . . . . . . 181--198
                 Helmut Lenzing   Curve singularities arising from the
                                  representation theory of tame hereditary
                                  algebras . . . . . . . . . . . . . . . . 199--231
       Héctor A. Merklen   Artin algebras which are equivalent to a
                                  hereditary algebra modulo preprojectives 232--255
           D. A. de Peña   Zero relation algebras with oriented
                                  cycles of noninvertible morphisms  . . . 256--268
                A. V. Ro\u\iter   The norm of a relation . . . . . . . . . 269--271
             Hiroyuki Tachikawa   Selfinjective algebras and tilting
                                  theory . . . . . . . . . . . . . . . . . 272--307
         Hiroyuki Tachikawa and   
            Takayoshi Wakamatsu   Applications of reflection functors for
                                  selfinjective algebras . . . . . . . . . 308--327
                    Luise Unger   Preinjective components of trees . . . . 328--339
                Dieter Vossieck   On indecomposables in preprojective
                                  components . . . . . . . . . . . . . . . 340--340
                Dieter Vossieck   Representation theory I --- Finite
                                  dimensional algebras . . . . . . . . . . 341--341


Lecture Notes in Mathematics
Volume 1178, 1986

                   D.-J. Benson   Modules for finite groups:
                                  Representation rings, quivers and
                                  varieties  . . . . . . . . . . . . . . . 1--24
                    Walter Feit   Blocks with cyclic defect groups for
                                  some sporadic groups . . . . . . . . . . 25--63
         Pamela A. Ferguson and   
               Alexandre Turull   Prime characters . . . . . . . . . . . . 64--93
            Robert M. Guralnick   The dimension of the first cohomology
                                  group  . . . . . . . . . . . . . . . . . 94--97
                   A. Jones and   
                  G. O. Michler   On the structure of the integral Green
                                  ring of a cyclic group of order $ p^2 $  98--108
               Shigeo Koshitani   On group algebras of finite groups . . . 109--128
             Gerhard O. Michler   Brauer's conjectures and the
                                  classification of finite simple groups   129--142
            William F. Reynolds   Principal indecomposable characters and
                                  normal subgroups . . . . . . . . . . . . 143--151
           Geoffrey R. Robinson   On Cartan matrices of finite groups with
                                  a certain factorization  . . . . . . . . 152--176
               Wolfgang Willems   The generalized $ p^\prime $-core and
                                  the principal $p$-block  . . . . . . . . 177--193
          Maurice Auslander and   
                   Louise Unger   Isolated singularities and existence of
                                  almost split sequences . . . . . . . . . 194--242
               K. W. Roggenkamp   Gorenstein orders of finite
                                  representation type and bijective
                                  lattices . . . . . . . . . . . . . . . . 243--271
                  Wolfgang Rump   Enlacements and representation theory of
                                  completely reducible orders  . . . . . . 272--308
               Alfred Wiedemann   Gorenstein orders of class $ A_n $ . . . 309--315


Lecture Notes in Mathematics
Volume 1179, 1986

                    Jian-Yi Shi   Coxeter groups, Hecke algebras and their
                                  representations  . . . . . . . . . . . . 1--31
                    Jian-Yi Shi   Applications of Kazhdan--Lusztig theory  32--59
                    Jian-Yi Shi   Geometric interpretations of the
                                  Kazhdan--Lusztig polynomials . . . . . . 60--65
                    Jian-Yi Shi   The algebraic descriptions of the affine
                                  Weyl group $ A_n $ of type $ {\tilde
                                  A}_{n - 1} $, $ n > 2 $ . . . . . . . . . 66--76
                    Jian-Yi Shi   The partition of $n$ associated with an
                                  element of the affine Weyl group $ A_n$  77--83
                    Jian-Yi Shi   A geometrical description of the affine
                                  Weyl group $ A_n $ . . . . . . . . . . . 84--98
                    Jian-Yi Shi   Admissible sign types of rank $n$  . . . 99--113
                    Jian-Yi Shi   Iterated star operations and
                                  interchanging operations on blocks . . . 114--128
                    Jian-Yi Shi   The subset $ \sigma^{ - 1} (\lambda) $
                                  of the affine Weyl group $ A_n $ . . . . 129--145
                    Jian-Yi Shi   The set $ N_\lambda $ of normalized
                                  elements of $ \sigma^{ - 1} (\lambda) $  146--151
                    Jian-Yi Shi   The orbit space $ {\tilde A}_n $ of the
                                  affine Weyl group $ A_n $  . . . . . . . 152--165
                    Jian-Yi Shi   The sequence $ \xi (w, k) $ beginning
                                  with an element of $ N_\lambda $ . . . . 166--201
                    Jian-Yi Shi   Raising operations on layers . . . . . . 202--221
                    Jian-Yi Shi   The left and right cells in $ \sigma^{ -
                                  1} (\lambda) $ . . . . . . . . . . . . . 222--234
                    Jian-Yi Shi   $ \sigma^{ - 1} (\lambda) $ is an
                                  rl-equivalence class of $ A_n $  . . . . 235--235
                    Jian-Yi Shi   Left cells are characterized by the
                                  generalized right $ \tau $-invariant . . 236--242
                    Jian-Yi Shi   The two-sided cells of the affine Weyl
                                  group $ A_n $  . . . . . . . . . . . . . 243--246
                    Jian-Yi Shi   Some properties of cells and other
                                  equivalence classes of $ A_n $ . . . . . 247--255
                    Jian-Yi Shi   Some special kinds of sign types . . . . 256--272
                    Jian-Yi Shi   The inserting algorithm on the set $C$   273--284


Lecture Notes in Mathematics
Volume 1180, 1986

            René Carmona   Random Schrödinger operators  . . . . . . 1--124
                   Harry Kesten   Aspects of first passage percolation . . 125--264
                  John B. Walsh   An introduction to stochastic partial
                                  differential equations . . . . . . . . . 265--439


Lecture Notes in Mathematics
Volume 1181, 1986

             Francis Buekenhout   The geometry of the finite simple groups 1--78
              William M. Kantor   Generalized polygons, SCABs and GABs . . 79--158
                   Jacques Tits   Immeubles de Type Affine. (French) []    159--190
                 Arjeh M. Cohen   Point-line characterizations of
                                  buildings  . . . . . . . . . . . . . . . 191--206
                    Th. Meixner   Constructions of chamber systems of type
                                  $M$ with transitive automorphism group   207--217
                 Antonio Pasini   Covers of finite geometries with
                                  non-spherical minimal circuit diagram    218--241
                    M. A. Ronan   A construction of buildings with no rank
                                  $3$ residues of spherical type . . . . . 242--248
               F. G. Timmesfeld   Tits chamber systems and finite group
                                  theory . . . . . . . . . . . . . . . . . 249--269
               F. G. Timmesfeld   Back Matter  . . . . . . . . . . . . . . 270--279


Lecture Notes in Mathematics
Volume 1182, 1986

                 Saharon Shelah   Classifying generalized quantifiers  . . 1--46
                 Saharon Shelah   Classification over a predicate II . . . 47--90
                 Saharon Shelah   Existence of endo-rigid Boolean algebras 91--119
                 Saharon Shelah   On the $ {\rm no}(M) $ for $M$ of
                                  singular power . . . . . . . . . . . . . 120--134
                 Saharon Shelah   Non standard uniserial module over a
                                  uniserial domain exists  . . . . . . . . 135--150
                 Saharon Shelah   Remarks on the numbers of ideals of
                                  Boolean algebra and open sets of a
                                  topology . . . . . . . . . . . . . . . . 151--187
                 Saharon Shelah   The existence of coding sets . . . . . . 188--202
                 Saharon Shelah   Monadic logic: Hanf Numbers  . . . . . . 203--223
                 Saharon Shelah   More on stationary coding  . . . . . . . 224--246
                 Saharon Shelah   On normal ideals and Boolean algebras    247--259
                 Saharon Shelah   A note on $ \kappa $-freeness of abelian
                                  groups . . . . . . . . . . . . . . . . . 260--268
                 Saharon Shelah   On countable theories with models ---
                                  homogeneous models only  . . . . . . . . 269--271
                 Saharon Shelah   On decomposable sentences for finite
                                  models . . . . . . . . . . . . . . . . . 272--275
                 Saharon Shelah   Remarks on squares . . . . . . . . . . . 276--279


Lecture Notes in Mathematics
Volume 1183, 1986

           Luchezar Avramov and   
               Stephen Halperin   Through the looking glass: a dictionary
                                  between rational homotopy theory and
                                  local algebra  . . . . . . . . . . . . . 1--27
                 David J. Anick   A rational homotopy analog of
                                  Whitehead's problem  . . . . . . . . . . 28--31
                David Anick and   
              Clas Löfwall   Hilbert series of finitely presented
                                  algebras . . . . . . . . . . . . . . . . 32--55
                Y\=oichi Aoyama   On endomorphism rings of canonical
                                  modules (joint work with Shiro Goto) . . 56--58
            Luchezar L. Avramov   Golod homomorphisms  . . . . . . . . . . 59--78
           Jörgen Backelin   On the rates of growth of the homologies
                                  of Veronese subrings . . . . . . . . . . 79--100
       Jörgen Backelin and   
                  Jan-Erik Roos   When is the double Yoneda ext-algebra of
                                  a local Noetherian ring again
                                  Noetherian?  . . . . . . . . . . . . . . 101--119
       Rikard Bògvad and   
               Stephen Halperin   On a conjecture of roos  . . . . . . . . 120--127
                Torsten Ekedahl   Two examples of smooth projective
                                  varieties with non-zero Massey products  128--132
          Yves Félix and   
           Stephen Halperin and   
        Daniel Tanré and   
             Jean-Claude Thomas   The radical of $ \pi_*(\omega S) \otimes
                                  \mathbb {Q} $  . . . . . . . . . . . . . 133--135
            Y. Félix and   
                   J.-C. Thomas   Sur l'opération d'holonômte rationnelle.
                                  (French) []  . . . . . . . . . . . . . . 136--169
          Ralf Fröberg and   
              Tor Gulliksen and   
              Clas Löfwall   Flat families of local, Artinian
                                  algebras with an infinite number of
                                  Poincaré series . . . . . . . . . . . . . 170--191
               Tor H. Gulliksen   A note on intersection multiplicities    192--194
               Tor H. Gulliksen   Reducing the Poincaré series of local
                                  rings to the case of quadratic relations 195--198
               Stephen Halperin   The radical of $ \pi_* (\omega S)
                                  \otimes \mathbb {Q} $, II  . . . . . . . 199--210
           Stephen Halperin and   
                   Gerson Levin   High skeleta of CW complexes . . . . . . 211--217
                   O. A. Laudal   Matric Massey products and formal moduli
                                  I  . . . . . . . . . . . . . . . . . . . 218--240
                  Christer Lech   A method for constructing bad Noetherian
                                  local rings  . . . . . . . . . . . . . . 241--247
                   Crister Lech   Yet another proof of a result by Ogoma   248--249
                 Daniel Lehmann   Modele minimal relatif des feuilletages  250--258


Lecture Notes in Mathematics
Volume 1184, 1986

               Rainer Nagel and   
              Ulf Schlotterbeck   Basic results on semigroups on Banach
                                  spaces . . . . . . . . . . . . . . . . . 1--24
               Rainer Nagel and   
              Ulf Schlotterbeck   Characterization of semigroups on Banach
                                  spaces . . . . . . . . . . . . . . . . . 25--59
       Günther Greiner and   
                   Rainer Nagel   Spectral theory  . . . . . . . . . . . . 60--97
               Frank Neubrander   Asymptotics of semigroups on Banach
                                  spaces . . . . . . . . . . . . . . . . . 98--116
               Rainer Nagel and   
              Ulf Schlotterbeck   Basic results on spaces $ C_o (X) $  . . 117--121
                Wolfgang Arendt   Characterization of positive semigroups
                                  on $ C_o (X) $ . . . . . . . . . . . . . 122--162
           Günther Greiner   Spectral theory of positive semigroups
                                  on $ C_o (X) $ . . . . . . . . . . . . . 163--203
           Günther Greiner   Asymptotics of positive semigroups on $
                                  C_o (X) $  . . . . . . . . . . . . . . . 204--232
               Rainer Nagel and   
              Ulf Schlotterbeck   Basic results on Banach lattices and
                                  positive operators . . . . . . . . . . . 233--246
                Wolfgang Arendt   Characterization of positive semigroups
                                  on Banach lattices . . . . . . . . . . . 247--291
           Günther Greiner   Spectral theory of positive semigroups
                                  on Banach lattices . . . . . . . . . . . 292--332
           Günther Greiner   Asymptotics of positive semigroups on
                                  Banach lattices  . . . . . . . . . . . . 333--367
                    Ulrich Groh   Basic results on semigroups and operator
                                  algebras . . . . . . . . . . . . . . . . 369--375
                    Ulrich Groh   Characterization of positive semigroups
                                  on $ w^* $-algebras  . . . . . . . . . . 376--378
                    Ulrich Groh   Spectral theory of positive semigroups
                                  on $ w^*$-algebras and their preduals    379--399
                    Ulrich Groh   Asymptotics of positive semigroups on $
                                  c^* $-and $ w^*$-algebras  . . . . . . . 400--425


Lecture Notes in Mathematics
Volume 1185, 1986

             Michael Aschbacher   Finite simple groups and their subgroups 1--57
              Charles W. Curtis   Topics in the theory of representations
                                  of finite groups . . . . . . . . . . . . 58--87
              Alexander J. Hahn   Algebraic $K$-theory, Morita theory, and
                                  the classical groups . . . . . . . . . . 88--117
                  J. C. Jantzen   Modular representations of reductive
                                  groups . . . . . . . . . . . . . . . . . 118--154
                  E. R. Kolchin   Differential algebraic groups  . . . . . 155--174
                 T. A. Springer   Conjugacy classes in algebraic groups    175--209
               John G. Thompson   Some finite groups which appear as $
                                  {\rm gal}L / K $, where $ K \subset
                                  Q(\mu_n) $ . . . . . . . . . . . . . . . 210--230
                        Yu Chen   Homomorphisms from linear groups over
                                  division rings to algebraic groups . . . 231--265
                        Z. Chen   A prehomogeneous vector space of
                                  characteristic $3$ . . . . . . . . . . . 266--276
                 Chongying Dong   On full subgroups of twisted groups  . . 277--288
                  Jianhua Huang   A characterization of the $2$-local
                                  subgroups of Rudvalis group and
                                  Higman--Sims group . . . . . . . . . . . 289--307
                     Huiling Li   On $2$-connectedness of geometries . . . 308--313
                  Shengming Shi   On the number of $p$-blocks with given
                                  defect groups and some applications of
                                  the $p$-power homomorphism . . . . . . . 314--339
                    E Fang Wang   The equitype and quasi-equitype
                                  decompositions of arbitrary permutations
                                  by permutations of order $2$ or $3$  . . 340--360
                    Xiaolong Wu   On the extensions of Abelian varieties
                                  by affine group schemes  . . . . . . . . 361--387
                    Jia-chen Ye   On the first Cartan invariant of the
                                  groups $ {\rm SL}(3, p^n) $ and $ {\rm
                                  SU}(3, p^n) $  . . . . . . . . . . . . . 388--400


Lecture Notes in Mathematics
Volume 1186, 1986

                  L. Arnold and   
                    V. Wihstutz   Lyapunov exponents: a survey . . . . . . 1--26
              Philippe Bougerol   Oscillation des produits de matrices
                                  aléatoires dont l'exposant de Lyapounov
                                  est nul. (French) [] . . . . . . . . . . 27--36
                  Peter Walters   Unique ergodicity and random matrix
                                  products . . . . . . . . . . . . . . . . 37--55
                  F. Ledrappier   Positivity of the exponent for
                                  stationary sequences of matrices . . . . 56--73
                     Yuri Kifer   Characteristic exponents for random
                                  homeomorphisms of metric spaces  . . . . 74--84
                  L. Arnold and   
                W. Kliemann and   
                  E. Oeljeklaus   Lyapunov exponents of linear stochastic
                                  systems  . . . . . . . . . . . . . . . . 85--125
                  L. San Martin   Addendum a note on transitivity of
                                  coupled control systems  . . . . . . . . 126--128
                  L. Arnold and   
              E. Oeljeklaus and   
              É. Pardoux   Almost sure and moment stability for
                                  linear Itô equations  . . . . . . . . . . 129--159
               K. A. Loparo and   
              G. L. Blankenship   Almost sure instability of a class of
                                  linear stochastic systems with jump
                                  process coefficients . . . . . . . . . . 160--190
                Olaf Böhme   On a generalization of the Lyapunov
                                  exponent of a second order linear
                                  stochastic differential equation . . . . 191--199
                Volker Wihstutz   Parameter dependence of the Lyapunov
                                  exponent for linear stochastic systems.
                                  A survey . . . . . . . . . . . . . . . . 200--215
             Russell A. Johnson   An example concerning the geometric
                                  significance of the rotation number ---
                                  integrated density of states . . . . . . 216--226
                      W. Kirsch   Lyapunov exponents for Schrödinger
                                  operators with random, but deterministic
                                  potentials . . . . . . . . . . . . . . . 227--241
                 Harald English   Lyapunov exponents and one-dimensional
                                  alloys . . . . . . . . . . . . . . . . . 242--245
                   F. Bentosela   Resonance states in disordered systems   246--251
                   Walter Craig   The Lyapounov index, the density of
                                  states and their regularity for general
                                  stochastic potentials  . . . . . . . . . 252--257
                   Jean Lacroix   Computations of the sum of positive
                                  Lyapunov exponents for the Lloyd model
                                  in a strip . . . . . . . . . . . . . . . 258--264
                R. Burridge and   
            G. Papanicolaou and   
                       B. White   Statistics of reflected pulses . . . . . 265--270
                    Hans Crauel   Lyapunov exponents and invariant
                                  measures of stochastic systems on
                                  manifolds  . . . . . . . . . . . . . . . 271--291
                  A. Carverhill   Survey: Lyapunov exponents for
                                  stochastic flows on manifolds  . . . . . 292--307


Lecture Notes in Mathematics
Volume 1187, 1986

                     Yves Diers   Introduction . . . . . . . . . . . . . . 1--18
                     Yves Diers   Categories of Boolean sheaves of
                                  algebras . . . . . . . . . . . . . . . . 19--47
                     Yves Diers   Categories of Boolean sheaves of simple
                                  algebras . . . . . . . . . . . . . . . . 48--113
                     Yves Diers   Categories of locally Boolean sheaves of
                                  simple algebras  . . . . . . . . . . . . 114--160


Lecture Notes in Mathematics
Volume 1188, 1986

                  Salomon Ofman   Residu et dualité. (French) []  . . . . . 1--22
                  Salomon Ofman   Transformée de Radon et intégrale sur les
                                  cycles analytiques compacts de certains
                                  ouverts de l'espace projectif complexe.
                                  (French) []  . . . . . . . . . . . . . . 23--44
                       Guy Roos   Fonctions de plusieurs variables
                                  complexes et formules de représentation
                                  intégrale. (French) []  . . . . . . . . . 45--182
                  Salomon Ofman   Injectivité de la transformation obtenue
                                  par intégration sur les cycles
                                  analytiques. (French) [] . . . . . . . . 183--189
                  Salomon Ofman   Injectivité de la transformation obtenue
                                  par intégration sur les cycles
                                  analytiques. (French) [] . . . . . . . . 190--200
                  Salomon Ofman   Injectivité de la transformation obtenue
                                  par intégration sur les cycles
                                  analytioues. (French) [] . . . . . . . . 201--228
                Aviva Szpirglas   Quelques résultats sur le schéma de
                                  Hilbert de $ \mathbb {C}^P $ des
                                  sous-ensembles analytiques compacts de
                                  dimension $O$ de $ \mathbb {C}^P$.
                                  (French) []  . . . . . . . . . . . . . . 229--231
                  Daniel Barlet   Fonctions de type trace réelles et formes
                                  hermitiennes horizontales. (French) []   232--244
                   J. Varouchas   Sur l'image d'une variété kählérienne
                                  compacte. (French) []  . . . . . . . . . 245--259
    Jón Magnússon   Singularités polaires et points de
                                  Weierstrass en codimension plus grande
                                  que un. (French) []  . . . . . . . . . . 260--301


Lecture Notes in Mathematics
Volume 1189, 1986

           Jaroslav Luke\vs and   
            Jan Malý and   
       Lud\vek Zají\vcek   Prologue . . . . . . . . . . . . . . . . 1--4
           Jaroslav Luke\vs and   
            Jan Malý and   
       Lud\vek Zají\vcek   Base operator spaces . . . . . . . . . . 5--37
           Jaroslav Luke\vs and   
            Jan Malý and   
       Lud\vek Zají\vcek   General properties of fine topologies    38--69
           Jaroslav Luke\vs and   
            Jan Malý and   
       Lud\vek Zají\vcek   The Lusin--Menchoff property of fine
                                  topologies . . . . . . . . . . . . . . . 70--132
           Jaroslav Luke\vs and   
            Jan Malý and   
       Lud\vek Zají\vcek   Baire and Blumberg spaces  . . . . . . . 133--142
           Jaroslav Luke\vs and   
            Jan Malý and   
       Lud\vek Zají\vcek   Connectivity properties of fine
                                  topologies . . . . . . . . . . . . . . . 142--147
           Jaroslav Luke\vs and   
            Jan Malý and   
       Lud\vek Zají\vcek   Density topologies . . . . . . . . . . . 147--229
           Jaroslav Luke\vs and   
            Jan Malý and   
       Lud\vek Zají\vcek   Further examples of fine topologies  . . 229--259
           Jaroslav Luke\vs and   
            Jan Malý and   
       Lud\vek Zají\vcek   Extension theorems . . . . . . . . . . . 259--287
           Jaroslav Luke\vs and   
            Jan Malý and   
       Lud\vek Zají\vcek   Boundary behaviour of functions  . . . . 287--317
           Jaroslav Luke\vs and   
            Jan Malý and   
       Lud\vek Zají\vcek   Fine topology in potential theory  . . . 317--347
           Jaroslav Luke\vs and   
            Jan Malý and   
       Lud\vek Zají\vcek   Harmonic spaces  . . . . . . . . . . . . 347--365
           Jaroslav Luke\vs and   
            Jan Malý and   
       Lud\vek Zají\vcek   Finely hyperharmonic functions . . . . . 365--388
           Jaroslav Luke\vs and   
            Jan Malý and   
       Lud\vek Zají\vcek   The fine Dirichlet problem . . . . . . . 388--407
           Jaroslav Luke\vs and   
            Jan Malý and   
       Lud\vek Zají\vcek   Quasi-topological methods  . . . . . . . 407--423
           Jaroslav Luke\vs and   
            Jan Malý and   
       Lud\vek Zají\vcek   Errata . . . . . . . . . . . . . . . . . e1--e2


Lecture Notes in Mathematics
Volume 1190, 1986

                      J. Abadie   Generalized reduced gradient and global
                                  Newton methods . . . . . . . . . . . . . 1--20
                     H. Attouch   Epi-convergence and duality. Convergence
                                  of sequences of marginal and Lagrangians
                                  functions. Applications to
                                  homogenization problems in mechanics . . 21--56
                     A. Cambini   Non-linear separation theorems, duality
                                  and optimality conditions  . . . . . . . 57--93
                   E. Cavazzuti   Convergence of equilibria in the theory
                                  of games . . . . . . . . . . . . . . . . 95--130
                  J. P. Cecconi   On Pareto's problems . . . . . . . . . . 131--161
                   F. H. Clarke   Tonelli's regurarity theory in the
                                  calculus of variations: Recent progress  163--179
                    G. Dal Maso   Convergence of unilateral convex sets    181--190
                     S. Dolecki   Continuity of bilinear and non-bilinear
                                  polarities . . . . . . . . . . . . . . . 191--213
                     I. Ekeland   Two results in convex analysis . . . . . 215--228
                    T. Franzoni   Abstract $ \Gamma $-convergence  . . . . 229--241
                       R. Hoppe   Constructive aspects in time optimal
                                  control  . . . . . . . . . . . . . . . . 243--272
                    J.-L. Lions   Distributed systems with uncomplete data
                                  and Lagrange multipliers . . . . . . . . 273--305
              O. L. Mangasarian   Some applications of penalty functions
                                  in mathematical programming  . . . . . . 307--329
                   A. Miele and   
                        T. Wang   Dual properties of sequential gradient
                                  --- Restoration algorithms for optimal
                                  control problems . . . . . . . . . . . . 331--357
                      L. Modica   Stochastic homogenization and ergodic
                                  theory . . . . . . . . . . . . . . . . . 359--370
               G. Salinetti and   
                        R. Wets   On the hypo-convergence of probability
                                  measures . . . . . . . . . . . . . . . . 371--395
                     T. Zolezzi   Stability analysis in optimization . . . 397--419


Lecture Notes in Mathematics
Volume 1191, 1986

           Alexander R. Its and   
         Victor Yu. Novokshenov   Introduction . . . . . . . . . . . . . . 1--14
           Alexander R. Its and   
         Victor Yu. Novokshenov   Monodromy data for the systems of linear
                                  ordinary differential equations with
                                  rational coefficients  . . . . . . . . . 15--37
           Alexander R. Its and   
         Victor Yu. Novokshenov   Isomonodromic deformations of systems of
                                  linear ordinary differential equations
                                  with rational coefficients . . . . . . . 38--42
           Alexander R. Its and   
         Victor Yu. Novokshenov   Isomonodromic deformations of systems
                                  (1.9) and (1.26) and Painlevé equations
                                  of II and III types  . . . . . . . . . . 43--45
           Alexander R. Its and   
         Victor Yu. Novokshenov   Inverse problem of the monodromy theory
                                  for the systems (1.9) and (1.26).
                                  Asymptotic analysis of integral
                                  equations of the inverse problem . . . . 46--61
           Alexander R. Its and   
         Victor Yu. Novokshenov   Asymptotic solution to a direct problem
                                  of the monodromy theory for the system
                                  (1.9)  . . . . . . . . . . . . . . . . . 62--79
           Alexander R. Its and   
         Victor Yu. Novokshenov   Asymptotic solution to a direct problem
                                  of the monodromy theory for the system
                                  (1.26) . . . . . . . . . . . . . . . . . 80--86
           Alexander R. Its and   
         Victor Yu. Novokshenov   The manifold of solutions of Painlevé II
                                  equation decreasing as $ \chi \to
                                  -\infty $. Parametrization of their
                                  asymptotics through the monodromy data.
                                  Ablowitz--Segur connection formulae for
                                  real-valued solutions decreasing
                                  exponentially as $ \chi \to +\infty $    87--93
           Alexander R. Its and   
         Victor Yu. Novokshenov   The manifold of solutions to Painlevé III
                                  equation. The connection formulae for
                                  the asymptotics of real-valued solutions
                                  to the Cauchy problem  . . . . . . . . . 94--108
           Alexander R. Its and   
         Victor Yu. Novokshenov   The manifold of solutions to Painlevé II
                                  equation increasing as $ \chi \to +
                                  \infty $. The expression of their
                                  asymptotics through the monodromy data.
                                  The connection formulae for pure
                                  imaginary solutions  . . . . . . . . . . 109--123
           Alexander R. Its and   
         Victor Yu. Novokshenov   The movable poles of real-valued
                                  solutions to Painlevé II equation and the
                                  eigenfunctions of anharmonic oscillator  124--146
           Alexander R. Its and   
         Victor Yu. Novokshenov   The movable poles of the solutions of
                                  Painlevé III equation and their
                                  connection with Mathieu functions  . . . 147--172
           Alexander R. Its and   
         Victor Yu. Novokshenov   Large-time asymptotics of the solution
                                  of the Cauchy problem for MKdV equation  173--204
           Alexander R. Its and   
         Victor Yu. Novokshenov   The dynamics of electromagnetic impulse
                                  in a long laser amplifier  . . . . . . . 205--211
           Alexander R. Its and   
         Victor Yu. Novokshenov   The scaling limit in two-dimensional
                                  Ising model  . . . . . . . . . . . . . . 212--215
           Alexander R. Its and   
         Victor Yu. Novokshenov   Quasiclassical mode of the
                                  three-dimensional wave collapse  . . . . 216--229


Lecture Notes in Mathematics
Volume 1192, 1986

                   M. Feistauer   Mathematical and numerical study of
                                  nonlinear problems in fluid mechanics    3--16
                    A. Friedman   Free boundary problems in fluid dynamics 17--22
                     J. Ka\vcur   Method of Rothe in evolution equations   23--34
                      A. Kufner   Boundary value problems in weighted
                                  spaces . . . . . . . . . . . . . . . . . 35--48
                      J. Mawhin   Critical point theory and nonlinear
                                  differential equations . . . . . . . . . 49--58
                      F. Neuman   Ordinary linear differential equations
                                  --- a survey of the global theory  . . . 59--70
                    K. Rektorys   Numerical and theoretical treating of
                                  evolution problems by the method of
                                  discretization in time . . . . . . . . . 71--84
                  H. J. Stetter   Algorithms for the inclusion of
                                  solutions of ordinary initial value
                                  problems . . . . . . . . . . . . . . . . 85--94
                     H. Triebel   Recent developments in the theory of
                                  function spaces  . . . . . . . . . . . . 95--106
                  M. Bartu\vsek   On properties of oscillatory solutions
                                  of non-linear differential equations of
                                  the $n$-th order . . . . . . . . . . . . 109--113
               T. A. Burton and   
                 D. P. Dwiggins   Uniqueness without continuous dependence 115--121
                 B. Fiedler and   
            P. Brunovský   Connections in scalar reaction diffusion
                                  equations with Neumann boundary
                                  conditions . . . . . . . . . . . . . . . 123--128
                    M. Gregu\vs   On a certain boundary value problem of
                                  the third order  . . . . . . . . . . . . 129--132
                       P. Krbec   On nonparasite solutions . . . . . . . . 133--139
                      K. Kreith   Uniform zeros for beaded strings . . . . 141--148
                J. Kurzweil and   
               J. Jarník   Perron integral, Perron product integral
                                  and ordinary linear differential
                                  equations  . . . . . . . . . . . . . . . 149--154
                  M. E. Muldoon   On the zeros of some special functions:
                                  Differential equations and
                                  Nicholson-type formulas  . . . . . . . . 155--160
                      V. \vSeda   Surjectivity and boundary value problems 161--170
                      M. \vSvec   Some problems concerning the
                                  equivalences of two systems of
                                  differential equations . . . . . . . . . 171--179
                   W. F. Trench   Linear perturbations of general
                                  disconjugate equations . . . . . . . . . 181--186
                M. Tvrdý   On optimal control of systems with
                                  interface side conditions  . . . . . . . 187--190
                 J. W. Bebernes   A description of blow-up for the solid
                                  fuel ignition model  . . . . . . . . . . 193--196
                      I. Brilla   Spectral analysis of non-self-adjoint
                                  elliptic operators . . . . . . . . . . . 197--202
               Kung-Ching Chang   On the Mountain Pass Lemma . . . . . . . 203--208
                    H. Gajewski   On uniqueness and stability of
                                  steady-state carrier distributions in
                                  semiconductors . . . . . . . . . . . . . 209--214
                   M. Giaquinta   Partial regularity of minimizers . . . . 215--219
             P. Krej\vcí   Periodic solutions of partial
                                  differential equations with hysteresis   221--226
                    M. Ku\vcera   Stability and bifurcation problems for
                                  reaction-diffusion systems with
                                  unilateral conditions  . . . . . . . . . 227--234
                   V. G. Maz'ya   Boundary integral equations of
                                  elasticity in domains with piecewise
                                  smooth boundaries  . . . . . . . . . . . 235--242
                  C. G. Simader   Higher regularity of weak solutions of
                                  strongly nonlinear elliptic equations    243--246
            J. Stará and   
                        O. John   Some regularity results for quasilinear
                                  parabolic systems  . . . . . . . . . . . 247--250
                N. S. Trudinger   Classical boundary value problems for
                                  Monge--Amp\`ere type equations . . . . . 251--258
                       A. Valli   Qualitative properties of the solutions
                                  to the Navier--Stokes equations for
                                  compressible fluids  . . . . . . . . . . 259--264
                  R. P. Agarwal   On Gel'fand's method of chasing for
                                  solving multipoint boundary value
                                  problems . . . . . . . . . . . . . . . . 267--274
                    O. Axelsson   Stability and error estimates valid for
                                  infinite time, for strongly monotone and
                                  infinitely stiff evolution equations . . 275--284
                      F. Brezzi   Recent results in the approximation of
                                  free boundaries  . . . . . . . . . . . . 285--289
         L. \vCermák and   
               M. Zlámal   Finite element solution of a nonlinear
                                  diffusion problem with a moving boundary 291--294
                J. Descloux and   
                       R. Ferro   Analysis of Thacker's method for solving
                                  the linearized shallow water equations   295--302
                F. Goerisch and   
                    J. Albrecht   The convergence of a new method for
                                  calculating lower bounds to eigenvalues  303--308
         V. Janovský and   
                   I. Marek and   
                     J. Neuberg   Bifurcation analysis of stimulated
                                  Brillouin scattering . . . . . . . . . . 309--314
           M. K\vrí\vzek   Superconvergence results for linear
                                  triangular elements  . . . . . . . . . . 315--320
    J.-C. Nédélec   Mixed finite element in $3$D in $ H({\rm
                                  div})$ and $ H({\rm curl})$  . . . . . . 321--325
                  J. A. Nitsche   Free boundary problems for Stokes' flows
                                  and finite element methods . . . . . . . 327--332
                  J. W. Schmidt   Enclosing methods for perturbed boundary
                                  value problems in nonlinear difference
                                  equations  . . . . . . . . . . . . . . . 333--338
               V. Thomée   Error estimates for finite element
                                  methods for semilinear parabolic
                                  problems with nonsmooth data . . . . . . 339--344
                 J. R. Whiteman   Singularities in two- and
                                  three-dimensional elliptic problems and
                                  finite element methods for their
                                  treatment  . . . . . . . . . . . . . . . 345--352
          A. \vZení\vsek   Some new convergence results in finite
                                  element theories for elliptic problems   353--358
                   P. Bolek and   
                  J. Fo\vrt and   
                   K. Kozel and   
            J. Polá\vsek   Mathematical solution of direct and
                                  inverse problem for transonic cascade
                                  flows  . . . . . . . . . . . . . . . . . 361--366
                     L. Collatz   Einige Anwendungen der Mehrdimensionalen
                                  Approximationstheorie zur
                                  Lösungseinschließung bei Randwertaufgaben.
                                  (German) [Some applications of
                                  multidimensional approximation theory
                                  for enclosure-solution of boundary value
                                  problems]  . . . . . . . . . . . . . . . 367--372
               R. Kodnár   A posteriori estimations of approximate
                                  solutions for some types of boundary
                                  value problems . . . . . . . . . . . . . 373--378
        M. Kubí\vcek and   
                   M. Holodniok   Nonlinear dynamics systems-
                                  bifurcations, continuation methods,
                                  periodic solutions . . . . . . . . . . . 379--386
                   F. Martensen   The Rothe method for nonlinear
                                  hyperbolic problems  . . . . . . . . . . 387--392
                     E. Meister   Some solved and unsolved canonical
                                  problems of diffraction theory . . . . . 393--398
                     J. Ne\vcas   Entropy compactification of the
                                  transonic flow . . . . . . . . . . . . . 399--408
                    J. Neustupa   The global existence of weak solutions
                                  of the mollified system of equations of
                                  motion of viscous compressible fluid . . 409--414
             Z. Sadovský   Bifurcations near a double eigenvalue of
                                  the rectangular plate problem with a
                                  domain parameter . . . . . . . . . . . . 415--420
     K. Smítalová   Delay makes problems in population
                                  modelling  . . . . . . . . . . . . . . . 421--424


Lecture Notes in Mathematics
Volume 1193, 1986

                Christer Borell   A brief survey of Antoine Ehrhard's
                                  scientific work  . . . . . . . . . . . . 1--3
                 P. Doukhan and   
              J. R. León   Invariance principles for the empirical
                                  measure of a mixing sequence and for the
                                  local time of Markov processes . . . . . 4--21
                  Sylvie Guerre   Almost exchangeable sequences in $ L^q
                                  $, $ 1 \leq q < 2 $ . . . . . . . . . . . 22--28
                Bernard Heinkel   An application of a martingale
                                  inequality of Dubins and Freedman to the
                                  law of large numbers in Banach spaces    29--43
                  Michel Ledoux   On the small balls condition in the
                                  central limit theorem in uniformly
                                  convex spaces  . . . . . . . . . . . . . 44--52
                  M. Ledoux and   
                   M. B. Marcus   Some remarks on the uniform convergence
                                  of Gaussian and Rademacher Fourier
                                  quadratic forms  . . . . . . . . . . . . 53--72
                 Pascal Massart   Rates of convergence in the central
                                  limit theorem for empirical processes    73--109
             Mariola B. Schwarz   Mean square convergence of weak
                                  martingales  . . . . . . . . . . . . . . 110--112
                   J. E. Yukich   Metric entropy and the central limit
                                  theorem in Banach spaces . . . . . . . . 113--128


Lecture Notes in Mathematics
Volume 1194, 1986

                      D. Barlet   Monodromy and poles of $ \int_X |f|^{2
                                  \lambda } \Box $ . . . . . . . . . . . . 1--7
               Arnaud Beauville   Le groupe de monodromie des familles
                                  universelles d'hypersurfaces et
                                  d'intersections compl\`etes. (French) [] 8--18
             A. Hirschowitz and   
                       K. Hulek   Complete families of stable vector
                                  bundles over $ \mathbb {P}_2 $ . . . . . 19--33
                   K. Hulek and   
           S. A. Stròmme   Appendix to the paper ``Complete
                                  families of stable vector bundles over $
                                  \mathbb {P} $''  . . . . . . . . . . . . 34--40
                Yujiro Kawamata   On the minimal model problem . . . . . . 41--55
               Siegmund Kosarew   Modulräume holomorpher Abbildungen auf
                                  komplexen Mannigfaltigkeiten mit
                                  $1$-konkavem Rand. (German) [] . . . . . 56--79
                Masaki Maruyama   Stable rationality of some moduli spaces
                                  of vector bundles on $ P^2 $ . . . . . . 80--89
                   Ngaiming Mok   Compact Kähler manifolds of nonnegative
                                  holomorphic bisectional curvature  . . . 90--103
               Christian Okonek   Concavity, convexity and complements in
                                  complex spaces . . . . . . . . . . . . . 104--126
               Christian Okonek   Subvarieties in homogeneous manifolds    127--132
               Thomas Peternell   Rational curves in Mois\vezon $3$-folds  133--144
                Eiichi Sato and   
                 Heinz Spindler   On the structure of $4$ folds with a
                                  hyperplane section which is a $ \mathbb
                                  {P}^1$ bundle over a ruled surface . . . 145--149
              Michael Schneider   Complex surfaces with negative tangent
                                  bundle . . . . . . . . . . . . . . . . . 150--157
                   Yum-Tong Siu   Nonequidimensional value distribution
                                  theory and subvariety extension  . . . . 158--174
            Andrew John Sommese   On the adjunction theoretic structure of
                                  projective varieties . . . . . . . . . . 175--213
                  Wilhelm Stoll   Value distribution theory for moving
                                  targets  . . . . . . . . . . . . . . . . 214--235


Lecture Notes in Mathematics
Volume 1195, 1986

        J. Lucas M. Barbosa and   
            A. Gervasio Colares   A preliminary discussion . . . . . . . . 1--9
        J. Lucas M. Barbosa and   
            A. Gervasio Colares   The Weierstrass representation and the
                                  classical examples . . . . . . . . . . . 10--27
        J. Lucas M. Barbosa and   
            A. Gervasio Colares   Complete minimal surfaces with finite
                                  total curvature  . . . . . . . . . . . . 28--50
        J. Lucas M. Barbosa and   
            A. Gervasio Colares   Recent examples of complete minimal
                                  surfaces . . . . . . . . . . . . . . . . 51--97
        J. Lucas M. Barbosa and   
            A. Gervasio Colares   Nonexistence of certain minimal surfaces 98--113


Lecture Notes in Mathematics
Volume 1196, 1986

       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Conics . . . . . . . . . . . . . . . . . 1--2
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Complete conics  . . . . . . . . . . . . 3--8
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Systems of conics  . . . . . . . . . . . 8--11
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Equations of the degeneration
                                  hypersurfaces  . . . . . . . . . . . . . 11--14
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Conditions imposed on conics . . . . . . 14--18
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Action of the projective group and
                                  proper solutions of an enumerative
                                  problem  . . . . . . . . . . . . . . . . 18--22
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Genericity of the data of conditions . . 22--23
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Local characters of a condition  . . . . 23--24
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Halphen's first formula  . . . . . . . . 25--30
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Computation of characteristic numbers    31--35
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Examples . . . . . . . . . . . . . . . . 35--41
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Strict equivalence of conditions . . . . 41--45
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Systems of conics contained in $ S_{p,
                                  q} $ . . . . . . . . . . . . . . . . . . 45--47
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Conics satisfying five independent
                                  conditions . . . . . . . . . . . . . . . 48--56
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Cycles on $W$ and on $B$ . . . . . . . . 56--61
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Multiplicity cycles and Noether's
                                  formula  . . . . . . . . . . . . . . . . 61--67
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Improper intersection numbers  . . . . . 67--73
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Generalization of Halphen's formula to
                                  conditions of higher order . . . . . . . 74--80
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Examples of higher order conditions  . . 80--91
       Eduardo Casas-Alvero and   
Sebastian Xambó-Descamps   Strict equivalence of conditions . . . . 92--99


Lecture Notes in Mathematics
Volume 1197, 1986

                        J. Alev   Action de groupes sur $ A_1 (\mathbb
                                  {C}) $. (French) []  . . . . . . . . . . 1--9
                     B. Alfonsi   Conditions Noethériennes dans les anneaux
                                  gradués. (French) []  . . . . . . . . . . 10--19
               Margaret Beattie   The subgroup structure of the Brauer
                                  group of RG-dimodule algebras  . . . . . 20--30
                   S. Caenepeel   A graded version of Artin's refinement
                                  theorem  . . . . . . . . . . . . . . . . 31--44
          Gérard Cauchon   Exemples de sous-corps commutatifs
                                  maximaux dans $ D_2 (k) $. (French) []   45--50
              F. R. DeMeyer and   
                       D. Hardy   Semigroup rings which are separable
                                  algebras . . . . . . . . . . . . . . . . 51--59
             Marleen Denert and   
                   Jan Van Geel   Classnumbers of maximal orders in
                                  central simple algebras over global
                                  function fields  . . . . . . . . . . . . 60--72
                Edward Formanek   Generating the ring of matrix invariants 73--82
J. L. García Hernández and   
       J. L. Gómez Pardo   Hereditary and semihereditary
                                  endomorphism rings . . . . . . . . . . . 83--89
                Lieven Le Bruyn   The Poincaré series of $ \Pi_{m, 2} $ . . 90--108
            Lieven Le Bruyn and   
           Michel Van den Bergh   An explicit description of $ \Pi_{3, 2}
                                  $  . . . . . . . . . . . . . . . . . . . 109--113
                       A. Leroy   $S$-dérivations algébriques sur les
                                  anneaux premiers. (French) []  . . . . . 114--120
                  Martin Lorenz   On affine algebras . . . . . . . . . . . 121--126
          Marie-Paule Malliavin   Ideaux premiers purement codimensionels
                                  d'alg\`ebres enveloppantes. (French) []  127--133
            Artibano Micali and   
             Antonio Paques and   
                Andrzej Solecki   Sur le groupe des extensions cubiques.
                                  (French) []  . . . . . . . . . . . . . . 134--148
                A. H. Schofield   Universal localisation for hereditary
                                  rings and quivers  . . . . . . . . . . . 149--164
                    S. P. Smith   Differential operators on commutative
                                  algebras . . . . . . . . . . . . . . . . 165--177
               Blas Torrecillas   Height relative to a torsion theory  . . 178--184
                     J. Valette   Polynômes tordus et $T$-anneaux \`a
                                  gauche. (French) []  . . . . . . . . . . 185--189
               M. Van den Bergh   The algebraic index of a division
                                  algebra  . . . . . . . . . . . . . . . . 190--206


Lecture Notes in Mathematics
Volume 1198, 1986

               Mohamed Abd-Alla   Domaines de Reinhardt bornés homog\`enes
                                  de $ \mathcal {E} $(S,\mathbbC).
                                  (French) []  . . . . . . . . . . . . . . 1--34
                  Daniel Barlet   Le calcul de la forme hermitienne
                                  canonique pour $ X^a + Y^b + Z^c = 0 $.
                                  (French) []  . . . . . . . . . . . . . . 35--46
               Eric Bedford and   
                     Steve Bell   Boundary continuity of proper
                                  holomorphic correspondences  . . . . . . 47--64
                        M. Blel   Sur les singularités des ensembles
                                  analytiques. (French) [] . . . . . . . . 65--72
             Pierre Bonneau and   
               Anne Cumenge and   
           Ahmed Zériahi   Division dans les espaces de Lipschitz
                                  de fonctions holomorphes. (French) []    73--87
           Jean-Pierre Demailly   Sur l'identité de
                                  Bochner--Kodaira--Nakano en géométrie
                                  hermitienne. (French) [] . . . . . . . . 88--97
           Jean-Pierre Demailly   Un exemple de fibré holomorphe non de
                                  Stein \`a fibre $ \mathbb {C}^2 $
                                  au-dessus du disque ou du plan. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 98--104
                   Z. Denkowska   Une présentation de la théorie des
                                  sous-analytiques sans désingularisation.
                                  (French) []  . . . . . . . . . . . . . . 105--116
                  J.-P. Ferrier   $ H^1 $ et multiplicités pour le spectre
                                  d'une alg\`ebre. (French) [] . . . . . . 117--132
                   Bent Fuglede   Fonctions finement holomorphes de
                                  plusieures variables --- Un essai.
                                  (French) []  . . . . . . . . . . . . . . 133--145
               R. Gérard   Une classe d'op\`erateurs singuliers non
                                  lin\`eaires \`a singularit\`e
                                  r\`eguli\`ere. (French) [] . . . . . . . 146--162
               King-Fai Lai and   
                   Ngaiming Mok   On a vanishing theorem on irreducible
                                  quotients of finite volume of polydiscs  163--171
              Jean-Jacques Loeb   Pseudo-convexité des ouverts invariants
                                  et convexité géodésique dans certains
                                  espaces symétriques. (French) []  . . . . 172--190
                     A. Meziani   Perturbations de structures C.R..
                                  (French) []  . . . . . . . . . . . . . . 191--195
                     J.-B. Poly   Probl\`eme des bords: Maximale
                                  complexite forte . . . . . . . . . . . . 196--205
                    Claudio Rea   Holomorphic extendability past boundary
                                  points and flat functions in $ C^2 $ and
                                  $ C^n $  . . . . . . . . . . . . . . . . 206--213
                        K. Sami   Sur les domaines cerclés bornés de
                                  l'espace $ C_o $ (IN). (French) [] . . . 214--232
                   J. Varouchas   Propriétés cohomologiques d'une classe de
                                  variétés analytiques complexes compactes.
                                  (French) []  . . . . . . . . . . . . . . 233--243
       Jean-Pierre Vigué   Quelques applications des geodesiques
                                  complexes aux points fixes
                                  d'applications holomorphes. (French) []  244--260


Lecture Notes in Mathematics
Volume 1199, 1986

         Christopher Baltus and   
               William B. Jones   A family of best value regions for
                                  modified continued fractions . . . . . . 1--20
              S. Clement Cooper   On $M$-tables associated with strong
                                  moment problems  . . . . . . . . . . . . 21--36
               Roy M. Istad and   
               Haakon Waadeland   A strategy for numerical computation of
                                  limits regions . . . . . . . . . . . . . 37--47
                  Lisa Jacobsen   On the convergence of limit periodic
                                  continued fractions $ K(a_n / 1) $,
                                  where $ a_n \to - 1 / 4 $. Part II . . . 48--58
                  Lisa Jacobsen   A theorem on simple convergence regions
                                  for continued fractions $ K(a_n / 1) $   59--66
              Lisa Jacobsen and   
           William B. Jones and   
               Haakon Waadeland   Further results on the computation of
                                  incomplete gamma functions . . . . . . . 67--89
                L. Jacobsen and   
                    W. J. Thron   Oval convergence regions and circular
                                  limit regions for continued fractions $
                                  K(a_n / 1) $ . . . . . . . . . . . . . . 90--126
                W. B. Jones and   
           O. Njåstad and   
                    W. J. Thron   Schur fractions, Perron--Carathéodory
                                  fractions and Szeg\Ho polynomials, a
                                  survey . . . . . . . . . . . . . . . . . 127--158
               N. J. Kalton and   
                    L. J. Lange   Equimodular limit periodic continued
                                  fractions  . . . . . . . . . . . . . . . 159--219
                    L. J. Lange   Continued fraction applications to zero
                                  location . . . . . . . . . . . . . . . . 220--262
              Olav Njåtad   A multi-point Padé approximation problem  263--268
                   A. Sri Ranga   $ \hat {J} $-fractions and strong moment
                                  problems . . . . . . . . . . . . . . . . 269--284
       Ellen Sòrsdal and   
               Haakon Waadeland   On the convergence of a certain class of
                                  continued fractions $ K(a_n / 1) $ with
                                  $ a_n \to \infty $ . . . . . . . . . . . 285--293
               Haakon Waadeland   A note on partial derivatives of
                                  continued fractions  . . . . . . . . . . 294--299


Lecture Notes in Mathematics
Volume 1200, 1986

           Vitali D. Milman and   
              Gideon Schechtman   Front Matter . . . . . . . . . . . . . . I--X
           Vitali D. Milman and   
              Gideon Schechtman   Preliminaries  . . . . . . . . . . . . . 1--4
           Vitali D. Milman and   
              Gideon Schechtman   The Isoperimetric Inequality on $ S^{n -
                                  1} $ and Some Consequences . . . . . . . 5--8
           Vitali D. Milman and   
              Gideon Schechtman   Finite Dimensional Normed Spaces,
                                  Preliminaries  . . . . . . . . . . . . . 9--11
           Vitali D. Milman and   
              Gideon Schechtman   Almost Euclidean Subspaces of A Normed
                                  Space  . . . . . . . . . . . . . . . . . 12--18
           Vitali D. Milman and   
              Gideon Schechtman   Almost Euclidean Subspaces of $ \ell_p^n
                                  $ Spaces, of General $n$-Dimensional
                                  Normed Spaces, and of Quotient of
                                  $n$-Dimensional Spaces . . . . . . . . . 19--26
           Vitali D. Milman and   
              Gideon Schechtman   Lévy Families . . . . . . . . . . . . . . 27--32
           Vitali D. Milman and   
              Gideon Schechtman   Martingales  . . . . . . . . . . . . . . 33--41
           Vitali D. Milman and   
              Gideon Schechtman   Embedding $ \ell_p^m $ into $ \ell_1^n $ 42--50
           Vitali D. Milman and   
              Gideon Schechtman   Type and Cotype of Normed Spaces, and
                                  Some Simple Relations with Geometrical
                                  Properties . . . . . . . . . . . . . . . 51--59
           Vitali D. Milman and   
              Gideon Schechtman   Additional Applications of Lévy Families
                                  in the Theory of Finite Dimensional
                                  Normed Spaces  . . . . . . . . . . . . . 60--68
           Vitali D. Milman and   
              Gideon Schechtman   Ramsey's Theorem with Some Applications
                                  to Normed Spaces . . . . . . . . . . . . 69--76
           Vitali D. Milman and   
              Gideon Schechtman   Krivine's Theorem  . . . . . . . . . . . 77--84
           Vitali D. Milman and   
              Gideon Schechtman   The Maurey--Pisier Theorem . . . . . . . 85--97
           Vitali D. Milman and   
              Gideon Schechtman   The Rademacher Projection  . . . . . . . 98--105
           Vitali D. Milman and   
              Gideon Schechtman   Projections on Random Euclidean
                                  Subspaces of Finite Dimensional Normed
                                  Spaces . . . . . . . . . . . . . . . . . 106--113
           Vitali D. Milman and   
              Gideon Schechtman   Back Matter  . . . . . . . . . . . . . . 114--156


Lecture Notes in Mathematics
Volume 1201, 1986

                Werner Ballmann   Structure of manifolds of nonpositive
                                  sectional curvature  . . . . . . . . . . 1--13
                  Robert Brooks   Combinatorial problems in spectral
                                  geometry . . . . . . . . . . . . . . . . 14--32
                   Jeff Cheeger   A vanishing theorem for piecewise
                                  constant curvature spaces  . . . . . . . 33--40
               Patrick Eberlein   $L$-subgroups in spaces of nonpositive
                                  curvature  . . . . . . . . . . . . . . . 41--88
                   Kenji Fukaya   On a compactification of the set of
                                  Riemannian manifolds with bounded
                                  curvatures and diameters . . . . . . . . 89--107
                      M. Gromov   Large Riemannian manifolds . . . . . . . 108--121
                 Masahiko Kanai   Analytic inequalities, and rough
                                  isometries between non-compact
                                  Riemannian manifolds . . . . . . . . . . 122--137
              Atsushi Kasue and   
                 Kunio Sugahara   Gap theorems for certain submanifolds of
                                  Euclidean space and hyperbolic space
                                  form II  . . . . . . . . . . . . . . . . 138--149
                Atsushi Katsuda   A pinching problem for locally
                                  homogeneous spaces . . . . . . . . . . . 150--155
             W. Klingenberg and   
                       T. Sakai   Remarks on the injectivity radius
                                  estimate for almost $ 1 / 4$-pinched
                                  manifolds  . . . . . . . . . . . . . . . 156--164
             Norihito Koiso and   
                  Yusuke Sakane   Non-homogeneous Kähler--Einstein metrics
                                  on compact complex manifolds . . . . . . 165--179
               Min-Oo Maung and   
                   Ernst A. Ruh   Curvature deformations . . . . . . . . . 180--190
                   Hideo Mut\=o   The first eigenvalue of the Laplacian of
                                  an isoparametric minimal hypersurface in
                                  a unit sphere  . . . . . . . . . . . . . 191--201
                Seiki Nishikawa   On deformation of Riemannian metrics and
                                  manifolds with positive curvature
                                  operator . . . . . . . . . . . . . . . . 202--211
                   Pierre Pansu   Quasiconformal mappings and manifolds of
                                  negative curvature . . . . . . . . . . . 212--229
                 Kunio Sakamoto   Helical immersions . . . . . . . . . . . 230--241
                    Hajime Sato   On topological Blaschke conjecture III   242--253
             Katsuhiro Shiohama   Critical points of Busemann functions on
                                  complete open surfaces . . . . . . . . . 254--265
               Toshikazu Sunada   $L$-functions in geometry and some
                                  applications . . . . . . . . . . . . . . 266--284
                 Hajime Urakawa   Stability of harmonic maps and
                                  eigenvalues of Laplacian . . . . . . . . 285--307


Lecture Notes in Mathematics
Volume 1202, 1986

                  Arne Dür   Categorical structures and incidence
                                  algebras . . . . . . . . . . . . . . . . 1--34
                  Arne Dür   Partitions, functors and exponential
                                  formulas . . . . . . . . . . . . . . . . 35--49
                  Arne Dür   Sheaflike categorical structures and
                                  incidence bialgebras . . . . . . . . . . 50--76
                  Arne Dür   Applications . . . . . . . . . . . . . . 77--108


Lecture Notes in Mathematics
Volume 1203, 1986

             Peter H. Baxendale   Asymptotic behaviour of stochastic flows
                                  of diffeomorphisms . . . . . . . . . . . 1--19
                  Donald Dawson   Stochastic ensembles and hierarchies . . 20--37
                   M. Fukushima   A stochastic approach to the minimum
                                  principle for the complex
                                  Monge--Amp\`ere operator . . . . . . . . 38--50
                Tadahisa Funaki   Construction of stochastic processes
                                  associated with the Boltzmann equation
                                  and its applications . . . . . . . . . . 51--65
                   T. E. Harris   Isotropic stochastic flows and a related
                                  property of non-random potential flows   66--74
                 Kanji Ichihara   Explosion problems for symmetric
                                  diffusion processes  . . . . . . . . . . 75--89
                  Yuji Kasahara   Extremal process as a substitution for
                                  `one-sided stable process with index
                                  $0$' . . . . . . . . . . . . . . . . . . 90--100
                   Motoo Kimura   Diffusion model of population genetics
                                  incorporating group selection, with
                                  special reference to an altruistic trait 101--118
                 Hui-Hsiung Kuo   On Laplacian operators of generalized
                                  Brownian functionals . . . . . . . . . . 119--128
                 Shigeo Kusuoka   Precise estimates for the fundamental
                                  solutions to some degenerate elliptic
                                  differential equations . . . . . . . . . 129--133
         Michel Métivier   On stochastic algorithms in adaptive
                                  filtering  . . . . . . . . . . . . . . . 134--156
                   S. K. Mitter   Estimation theory and statistical
                                  physics  . . . . . . . . . . . . . . . . 157--176
            K. R. Parthasarathy   Quantum stochastic calculus  . . . . . . 177--196
                      L. Streit   Quantum theory and stochastic processes
                                  --- Some contact points  . . . . . . . . 197--213
                S. James Taylor   The use of packing measure in the
                                  analysis of random sets  . . . . . . . . 214--222


Lecture Notes in Mathematics
Volume 1204, 1986

                   F. B. Knight   Poisson representation of strict regular
                                  step filtrations . . . . . . . . . . . . 1--27
                 F. Fagnola and   
                       G. Letta   Sur la représentation intégrale des
                                  martingales du processus de Poisson.
                                  (French) []  . . . . . . . . . . . . . . 28--29
                    P.-A. Meyer   Sur l'existence de l'opérateur carré du
                                  champ. (French) [] . . . . . . . . . . . 30--33
                 M. Pontier and   
                C. Stricker and   
                   J. Szpirglas   Sur le théor\`eme de représentation par
                                  rapport \`a l'innovation. (French) []    34--39
                   Cheng de Lin   Quand l'inégalité de Kunita--Watanabe
                                  est-elle une égalité?. (French) [] . . . . 40--47
              É. Pardoux   Grossissement d'une filtration et
                                  retournement du temps d'une diffusion.
                                  (French) []  . . . . . . . . . . . . . . 48--55
                    Jean Picard   Une classe de processus stable par
                                  retournement du temps. (French) [] . . . 56--67
                    H. Doss and   
                       M. Dozzi   Estimations de grandes déviations pour
                                  les processus de diffusion \`a
                                  param\`etre multidimensionnel. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 68--80
               G. Mazziotto and   
                      A. Millet   Points, lignes et syst\`emes d'arrêt
                                  flous et probl\`eme d'arrêt optimal.
                                  (French) []  . . . . . . . . . . . . . . 81--94
                 Haya Kaspi and   
            Bernard Maisonneuve   Predictable local times and exit systems 95--100
                   James Norris   Simplified Malliavin calculus  . . . . . 101--130
            Nicolas Bouleau and   
                 Francis Hirsch   Propriétés d'absolue continuité dans les
                                  espaces de Dirichlet et application aux
                                  équations différentielles stochastiques.
                                  (French) []  . . . . . . . . . . . . . . 131--161
                 N. Bouleau and   
                   D. Lamberton   Théorie de Littlewood--Paley--Stein et
                                  processus stables. (French) [] . . . . . 162--185
                    P.-A. Meyer   Éléments de probabilités quantiques.
                                  (French) []  . . . . . . . . . . . . . . 186--312
        J.-L. Journé and   
                    P.-A. Meyer   Une martingale d'opérateurs bornés, non
                                  représentable en intégrale stochastique.
                                  (French) []  . . . . . . . . . . . . . . 313--316
            K. R. Parthasarathy   A remark on the paper `Une martingale
                                  d'opérateurs bornés, non représentable en
                                  intégrale stochastique', by J. L. Journé
                                  and P.-A. Meyer  . . . . . . . . . . . . 317--320
                    P.-A. Meyer   Quelques remarques au sujet du calcul
                                  stochastique sur l'espace de Fock.
                                  (French) []  . . . . . . . . . . . . . . 321--330
            K. R. Parthasarathy   Some additional remarks on Fock space
                                  stochastic calculus  . . . . . . . . . . 331--333
                W. A. Zheng and   
                    P.-A. Meyer   Sur la construction de certaines
                                  diffusions. (French) []  . . . . . . . . 334--337
J. Ruíz de Chávez   Sur la positivité de certains opérateurs.
                                  (French) []  . . . . . . . . . . . . . . 338--340


Lecture Notes in Mathematics
Volume 1205, 1986

                    B. Z. Moroz   Classical background . . . . . . . . . . 1--77
                    B. Z. Moroz   Scalar product of $L$-functions  . . . . 78--140
                    B. Z. Moroz   Ideals with equal norms and integral
                                  points on non-form varieties . . . . . . 141--167
                    B. Z. Moroz   Remarks and comments . . . . . . . . . . 168--170
                    B. Z. Moroz   Analytical arithmetic in algebraic
                                  number fields  . . . . . . . . . . . . . e1--e3


Lecture Notes in Mathematics
Volume 1206, 1986

             Jean-Michel Bismut   Probability and geometry . . . . . . . . 1--60
           Donald L. Burkholder   Martingales and Fourier analysis in
                                  Banach spaces  . . . . . . . . . . . . . 61--108
                S. D. Chatterji   Martingale theory: an analytical
                                  formulation with some applications in
                                  analysis . . . . . . . . . . . . . . . . 109--166
                  Gilles Pisier   Probabilistic methods in the geometry of
                                  Banach spaces  . . . . . . . . . . . . . 167--241
           Walter Schachermayer   Some remarks on integral operators and
                                  equimeasurable sets  . . . . . . . . . . 242--258
                   Maurice Sion   Cylinder measures, local bases and
                                  nuclearity . . . . . . . . . . . . . . . 259--280
                   Maurice Sion   Back Matter  . . . . . . . . . . . . . . 281--289


Lecture Notes in Mathematics
Volume 1207, 1986

        Pierre H. Bérard   Motivations and the physical point of
                                  view . . . . . . . . . . . . . . . . . . 1--20
        Pierre H. Bérard   Topics from Riemannian geometry  . . . . 21--43
        Pierre H. Bérard   The Laplacian and related topics . . . . 44--77
        Pierre H. Bérard   Isoperimetric methods  . . . . . . . . . 78--97
        Pierre H. Bérard   Isoperimetric methods and the heat
                                  equation . . . . . . . . . . . . . . . . 98--115
        Pierre H. Bérard   Geometric applications of isoperimetric
                                  methods  . . . . . . . . . . . . . . . . 116--143
        Pierre H. Bérard   A brief survey of some recent
                                  developments in spectral geometry  . . . 144--154


Lecture Notes in Mathematics
Volume 1208, 1986

               Sten Kaijser and   
            Joan Wick Pelletier   Introduction . . . . . . . . . . . . . . 1--6
               Sten Kaijser and   
            Joan Wick Pelletier   Preliminaries  . . . . . . . . . . . . . 7--17
               Sten Kaijser and   
            Joan Wick Pelletier   The real method  . . . . . . . . . . . . 18--32
               Sten Kaijser and   
            Joan Wick Pelletier   The complex method . . . . . . . . . . . 33--43
               Sten Kaijser and   
            Joan Wick Pelletier   Categorical notions  . . . . . . . . . . 44--72
               Sten Kaijser and   
            Joan Wick Pelletier   Finite dimensional Doolittle diagrams    73--92
               Sten Kaijser and   
            Joan Wick Pelletier   Kan extensions . . . . . . . . . . . . . 93--105
               Sten Kaijser and   
            Joan Wick Pelletier   Duality  . . . . . . . . . . . . . . . . 106--122
               Sten Kaijser and   
            Joan Wick Pelletier   More about duality . . . . . . . . . . . 123--131
               Sten Kaijser and   
            Joan Wick Pelletier   The classical methods from a categorical
                                  viewpoint  . . . . . . . . . . . . . . . 132--159


Lecture Notes in Mathematics
Volume 1209, 1986

     Stephanie B. Alexander and   
              I. David Berg and   
              Richard L. Bishop   Cauchy uniqueness in the Riemannian
                                  obstacle problem . . . . . . . . . . . . 1--7
              Stig I. Andersson   Non-abelian Hodge theory via heat flow   8--36
                    Akira Asada   Non abelian Poincar\`e lemma . . . . . . 37--65
                  Thierry Aubin   Le probl\`eme de Yamabe concernant la
                                  courbure scalaire. (French) [] . . . . . 66--72
              Manuel Barros and   
                  Bang-yen Chen   Finite type spherical submanifolds . . . 73--93
               R. A. Blumenthal   Mappings between manifolds with Cartan
                                  connections  . . . . . . . . . . . . . . 94--99
        Jean-Pierre Bourguignon   Invariants intégraux fonctionnels pour
                                  des équations aux derivées partielles
                                  d'origine géométrique. (French) [] . . . . 100--108
             F. J. Carreras and   
        A. Ferrández and   
                      V. Miquel   Hermitian natural differential operators 109--132
                  D. Chinea and   
             C. González   An example of an almost cosymplectic
                                  homogeneous manifold . . . . . . . . . . 133--142
                Harold Donnelly   Positive solutions of the heat and
                                  eigenvalue equations on Riemannian
                                  manifolds  . . . . . . . . . . . . . . . 143--151
 Francisco Javier Echarte Reula   Étude des alg\`ebres de Lie resolubles
                                  réelles qui admettent des idéaux
                                  unidimensionnels n'appartenant pas au
                                  centre. (French) []  . . . . . . . . . . 152--156
    Marisa Fernández and   
                    Alfred Gray   The Iwasawa manifold . . . . . . . . . . 157--159
               Olga Gil-Medrano   Connected sums and the infimum of the
                                  Yamabe functional  . . . . . . . . . . . 160--167
                 V. V. Goldberg   Isoclinic webs $ W(4, 2, 2) $ of maximum
                                  $2$-rank . . . . . . . . . . . . . . . . 168--183
               F. W. Kamber and   
                  E. A. Ruh and   
                    Ph. Tondeur   Almost transversally symmetric
                                  foliations . . . . . . . . . . . . . . . 184--189
           Ravi S. Kulkarni and   
                 Ulrich Pinkall   Uniformization of geometric structures
                                  with applications to conformal geometry  190--209
      André Lichnerowicz   Représentation coadjointe quotient et
                                  espaces homog\`enes de contact. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 210--221
                  V. Marino and   
                  A. Pr\`astaro   On a geometric generalization of the
                                  Noether theorem  . . . . . . . . . . . . 222--234
              A. M. Naveira and   
                      S. Segura   The isoperimetric inequality and the
                                  geodesic spheres. Some geometric
                                  consequences . . . . . . . . . . . . . . 235--242
                     F. Richter   On the $K$-dimensional Radon-transform
                                  of rapidly decreasing functions  . . . . 243--258


Lecture Notes in Mathematics
Volume 1210, 1986

             Michael S. Bingham   On the assumptions of a central limit
                                  theorem for approximate martingale
                                  arrays on a group  . . . . . . . . . . . 1--12
                Walter R. Bloom   Idempotent measures on commutative
                                  hypergroups  . . . . . . . . . . . . . . 13--23
                      H. Carnal   Les variables aléatoires de loi stable et
                                  leur représentation selon P. Levy.
                                  (French) []  . . . . . . . . . . . . . . 24--33
                 S. G. Dani and   
                   M. McCrudden   Parabolic subgroups and factor
                                  compactness of measures on semisimple
                                  Lie groups . . . . . . . . . . . . . . . 34--40
           Jean-Louis Dunau and   
          Henri Sénateur   Une caractérisation du type de la loi de
                                  Cauchy--Heisenberg. (French) []  . . . . 41--57
                B.-J. Falkowski   Levy--Schoenberg kernels on Riemannian
                                  symmetric spaces of noncompact type  . . 58--67
        Léonard Gallardo   Exemples d'hypergroupes transients.
                                  (French) [Examples of transient
                                  hypergroups] . . . . . . . . . . . . . . 68--76
               Olivier Gebuhrer   Quelques propriétés du noyau potentiel
                                  d'une Marche aléatoire sur les
                                  hypergroupes de type Kunze--Stein.
                                  (French) []  . . . . . . . . . . . . . . 77--83
                     Peter Gerl   Sobolev inequalities and random walks    84--96
          K. Gröchenig and   
              Viktor Losert and   
                     H. Rindler   Uniform distribution in solvable groups  97--107
                 Arnold Janssen   Absolute continuity and singularity of
                                  distributions of dependent observations:
                                  Gaussian and exchangeable measures . . . 108--124
               Eberhard Kaniuth   Ergodic and mixing properties of
                                  measures on locally compact groups . . . 125--129
                 Jan Kisy\'nski   On jumps of paths of Markov processes    130--145
                      R. Schott   Recurrent random walks on homogeneous
                                  spaces . . . . . . . . . . . . . . . . . 146--152
         Michael Schürmann   A central limit theorem for coalgebras   153--157
 Gábor J. Székely   Haar measures in a representation and a
                                  decomposition problem  . . . . . . . . . 158--162
                     K. Urbanik   Compactness, medians and moments . . . . 163--173
         Wilhelm von Waldenfels   Non-commutative algebraic central limit
                                  theorems . . . . . . . . . . . . . . . . 174--202
                 Wolfgang Woess   A description of the Martin boundary for
                                  nearest neighbour random walks on free
                                  products . . . . . . . . . . . . . . . . 203--215
              Hansmartin Zeuner   On hyperbolic hypergroups  . . . . . . . 216--224


Lecture Notes in Mathematics
Volume 1211, 1986

                  M. B. Sevryuk   Chapter Introduction . . . . . . . . . . 1--21
                  M. B. Sevryuk   Kolmogorov tori of perturbations of
                                  integrable reversible diffeomorphisms
                                  and vectorfields . . . . . . . . . . . . 22--91
                  M. B. Sevryuk   Normal forms for reversible
                                  diffeomorphisms and vectorfields near an
                                  equilibrium and their Kolmogorov tori    92--158
                  M. B. Sevryuk   The behaviour of trajectories of
                                  reversible vectorfields near a symmetric
                                  cycle  . . . . . . . . . . . . . . . . . 159--170
                  M. B. Sevryuk   Non-autonomous reversible differential
                                  equations  . . . . . . . . . . . . . . . 171--180
                  M. B. Sevryuk   Structure of resonant zones of
                                  reversible diffeomorphisms and
                                  vectorfields . . . . . . . . . . . . . . 181--227
                  M. B. Sevryuk   Families of symmetric cycles near an
                                  equilibrium of a reversible vectorfield  228--292


Lecture Notes in Mathematics
Volume 1212, 1986

                     P. T\uautu   Stochastic spatial processes in biology:
                                  a concise historical survey  . . . . . . 1--41
              A. D. Barbour and   
                 G. K. Eagleson   Tests for space--time clustering . . . . 42--51
                        A. Bose   Age distributions in birth and death
                                  processes  . . . . . . . . . . . . . . . 52--58
            J. Theodore Cox and   
                David Griffeath   Critical clustering in the two
                                  dimensional voter model  . . . . . . . . 59--68
                  Donald Dawson   Measure-valued processes Construction,
                                  qualitative behavior and stochastic
                                  geometry . . . . . . . . . . . . . . . . 69--93
                 Peter Donnelly   Dual processes in population genetics    94--105
                Richard Durrett   Some peculiar properties of a particle
                                  system with sexual reproduction  . . . . 106--111
                      D. A. Ede   Computer simulation of developmental
                                  processes in biology: Models for the
                                  developing limb  . . . . . . . . . . . . 112--123
              Luis G. Gorostiza   Asymptotics and spatial growth of
                                  branching random fields  . . . . . . . . 124--135
               Thomas Götz   Generation-dependent branching processes
                                  with immigration: convergence of
                                  distributions  . . . . . . . . . . . . . 136--144
                 Andreas Greven   On a class of infinite particle systems
                                  evolving in a random environment . . . . 145--164
              Geoffrey Grimmett   Percolation processes and dimensionality 165--174
                  K. P. Hadeler   Birth and death processes with killing
                                  and applications to parasitic infections 175--186
                   Gail Ivanoff   Limit theorems for multitype branching
                                  random walks . . . . . . . . . . . . . . 187--194
                 Kari Kuulasmaa   On the reproduction rate of the spatial
                                  general epidemic . . . . . . . . . . . . 195--199
              Thomas M. Liggett   Nearest particle systems: Results and
                                  open problems  . . . . . . . . . . . . . 200--215
                Thomas Nagylaki   Neutral models of geographical variation 216--237
                Gerd Rosenkranz   Stochastic measure diffusions as models
                                  of growth and spread . . . . . . . . . . 238--248
              Wayne G. Sullivan   $ L^2 $ convergence of certain random
                                  walks on $ Z^d $ and related diffusions  249--257
                  Petre T\uautu   Random fields: Applications in cell
                                  biology  . . . . . . . . . . . . . . . . 258--299


Lecture Notes in Mathematics
Volume 1213, 1986

                      J. P. May   Preamble: a polemical introduction to
                                  the stable category  . . . . . . . . . . 1--5
           L. G. Lewis, Jr. and   
                      J. P. May   The equivariant stable category  . . . . 6--53
           L. G. Lewis, Jr. and   
                      J. P. May   Change of universe, smash products, and
                                  change of groups . . . . . . . . . . . . 54--116
           L. G. Lewis, Jr. and   
                      J. P. May   Equivariant duality theory . . . . . . . 117--174
           L. G. Lewis, Jr. and   
                      J. P. May   Equivariant transfer . . . . . . . . . . 175--235
           L. G. Lewis, Jr. and   
                  J. P. May and   
                  J. E. McClure   The Burnside ring and splittings in
                                  equivariant homology theory  . . . . . . 236--298
           L. G. Lewis, Jr. and   
                  J. P. May and   
                 M. Steinberger   Twisted half smash products and extended
                                  powers . . . . . . . . . . . . . . . . . 299--349
           L. G. Lewis, Jr. and   
                  J. P. May and   
                 M. Steinberger   Operad ring spectra  . . . . . . . . . . 350--383
                  J. P. May and   
                 M. Steinberger   The homological analysis of extended
                                  powers . . . . . . . . . . . . . . . . . 384--406
               L. G. Lewis, Jr.   Thom spectra . . . . . . . . . . . . . . 407--449
           L. G. Lewis, Jr. and   
                      J. P. May   Equivariant Thom spectra . . . . . . . . 450--474


Lecture Notes in Mathematics
Volume 1214, 1986

               N. M. Bliznyakov   Cauchy indices and the index of a
                                  singular point of a vector field . . . . 1--20
                  A. V. Brailov   Complete integrability with noncommuting
                                  integrals of certain Euler equations . . 21--39
            \Dbar\`ao Trong Thi   Multidimensional parametrized
                                  variational problems on Riemannian
                                  manifolds  . . . . . . . . . . . . . . . 40--62
                  B. D. Gel'man   On certain classes of selections of
                                  many-valued mappings . . . . . . . . . . 63--84
                 P. A. Kuchment   On the spectral synthesis in the spaces
                                  of solutions of invariant differential
                                  equations  . . . . . . . . . . . . . . . 85--100
                 V. V. Lychagin   Topological aspects of geometrical
                                  theory of differential equations . . . . 101--116
              A. I. Shnirel'man   On the principle of the shortest way in
                                  the dynamics of systems with constraints 117--130
       Ya. I. Belopol'skaya and   
            Yu. L. Daletski\u\i   Stochastic equations and differential
                                  geometry . . . . . . . . . . . . . . . . 131--158
     A. M. Finkel'shte\u\in and   
       V. Ya. Kre\u\inovich and   
                 R. R. Zapatrin   Fundamental physical equations uniquely
                                  determined by their symmetry groups  . . 159--170
                Yu. E. Gliklikh   Riemannian parallel translation, the Itô
                                  integral, and stochastic equations on
                                  manifolds  . . . . . . . . . . . . . . . 171--195
           S. M. Guse\u\in-Zade   An equivariant analogue of the index of
                                  a gradient vector field  . . . . . . . . 196--210
           G. N. Khimshiashvili   On the topology of invertible linear
                                  singular integral operators  . . . . . . 211--230
               V. P. Maslov and   
              P. P. Mosolov and   
              M. M. Antsiferova   Model equation for dynamics of phase
                                  translation  . . . . . . . . . . . . . . 231--248
                Yu. I. Sapronov   The destruction of spherical symmetry in
                                  non-linear variational problems  . . . . 249--275


Lecture Notes in Mathematics
Volume 1215, 1986

                Catherine Huber   Théorie de la robustesse. (French)
                                  [Robustness theory]  . . . . . . . . . . 1--128
                   Hermann Rost   On the behavior of the hydrodynamical
                                  limit for stochastic particle systems    129--164
                    Victor Solo   Topics in advanced time series analysis  165--328
                  John B. Walsh   Martingales with a multidimensional
                                  parameter and stochastic integrals in
                                  the plane  . . . . . . . . . . . . . . . 329--491


Lecture Notes in Mathematics
Volume 1216, 1986

                    Jacob Kogan   Overview . . . . . . . . . . . . . . . . 1--39
                    Jacob Kogan   Branching points in linear control
                                  problems . . . . . . . . . . . . . . . . 40--48
                    Jacob Kogan   Branching pairs in linear control
                                  problems . . . . . . . . . . . . . . . . 49--54
                    Jacob Kogan   The nonlinear case . . . . . . . . . . . 55--67
                    Jacob Kogan   Linear systems with vector valued
                                  performance index  . . . . . . . . . . . 68--77
                    Jacob Kogan   Nonlinear control systems with vector
                                  cost . . . . . . . . . . . . . . . . . . 78--84
                    Jacob Kogan   Optimal control problems with
                                  constraints  . . . . . . . . . . . . . . 85--96
                    Jacob Kogan   Appendix . . . . . . . . . . . . . . . . 97--103


Lecture Notes in Mathematics
Volume 1217, 1986

                  C. Allday and   
                       V. Puppe   Bounds on the torus rank . . . . . . . . 1--10
            Pawe\l Andrzejewski   The equivariant wall finiteness
                                  obstruction and Whitehead torsion  . . . 11--25
                 Amir H. Assadi   Homotopy actions and cohomology of
                                  finite groups  . . . . . . . . . . . . . 26--57
                 Amir H. Assadi   Normally linear Poincaré complexes and
                                  equivariant splittings . . . . . . . . . 58--78
                Gunnar Carlsson   Free $ (\mathbb {Z} / 2)^k $-actions and
                                  a problem in commutative algebra . . . . 79--83
            Tammo tom Dieck and   
             Peter Löffler   Verschlingungszahlen von Fixpunktmengen
                                  in Darstellungsformen. II. (German) []   84--91
       Karl Heinz Dovermann and   
              Melvin Rothenberg   An algebraic approach to the generalized
                                  Whitehead group  . . . . . . . . . . . . 92--114
                   Akio Hattori   Almost complex $ S^1 $-actions on
                                  cohomology complex projective spaces . . 115--122
              Sören Illman   A product formula for equivariant
                                  Whitehead torsion and geometric
                                  applications . . . . . . . . . . . . . . 123--142
                 Jan Jaworowski   Balanced orbits for fibre preserving
                                  maps of $ S^1 $ and $ S^3 $ actions  . . 143--150
      Joanna Kania-Bartoszynska   Involutions on $2$-handlebodies  . . . . 151--166
                   Gabriel Katz   Normal combinatorics of $G$-actions on
                                  manifolds  . . . . . . . . . . . . . . . 167--182
                    K. Kawakubo   Topological invariance of equivariant
                                  rational Pontrjagin classes  . . . . . . 183--195
           Tadeusz Ko\'zniewski   On the existence of acyclic $ \Gamma $
                                  complexes of the lowest possible
                                  dimension  . . . . . . . . . . . . . . . 196--209
                 Erkki Laitinen   Unstable homotopy theory of homotopy
                                  representations  . . . . . . . . . . . . 210--248
         Arunas Liulevicius and   
      Murad Özaydìn   Duality in orbit spaces  . . . . . . . . 249--252
             Zbigniew Marciniak   Cyclic homology and idempotents in group
                                  rings  . . . . . . . . . . . . . . . . . 253--257
                  Mikiya Masuda   $ \mathbb {Z}_2 $ surgery theory and
                                  smooth involutions on homotopy complex
                                  projective spaces  . . . . . . . . . . . 258--289
             Takao Matumoto and   
                Masahiro Shiota   Proper subanalytic transformation groups
                                  and unique triangulation of the orbit
                                  spaces . . . . . . . . . . . . . . . . . 290--302
                      J. P. May   A remark on duality and the Segal
                                  conjecture . . . . . . . . . . . . . . . 303--305


Lecture Notes in Mathematics
Volume 1218, 1986

               S. Albeverio and   
                F. Gesztesy and   
      R. Hòegh-Krohn and   
                  H. Holden and   
                      W. Kirsch   The Schrödinger operator for a particle
                                  in a solid with deterministic and
                                  stochastic point interactions  . . . . . 1--38
                   Erik Balslev   Wave operators for dilation-analytic
                                  three-body Hamiltonians  . . . . . . . . 39--60
                    Volker Enss   Introduction to asymptotic observables
                                  for multiparticle quantum scattering . . 61--92
                    F. Gesztesy   Scattering theory for one-dimensional
                                  systems with nontrivial spatial
                                  asymptotics  . . . . . . . . . . . . . . 93--122
                  Sandro Graffi   Classical limit and canonical
                                  perturbation theory  . . . . . . . . . . 123--135
                     Gerd Grubb   Trace estimates for exterior boundary
                                  problems associated with the Schrödinger
                                  operator . . . . . . . . . . . . . . . . 136--150
                    Arne Jensen   Commutator methods and asymptotic
                                  completeness for one-dimensional Stark
                                  effect Hamiltonians  . . . . . . . . . . 151--166
             Lars-Erik Lundberg   Lorentz invariant quantum theory . . . . 167--178
                        T. Paul   A characterization of dilation-analytic
                                  operators  . . . . . . . . . . . . . . . 179--189
                Yoshimi Sait\=o   Asymptotic and approximate formulas in
                                  the inverse scattering problem for the
                                  Schrödinger operator  . . . . . . . . . . 190--200
                  Erik Skibsted   $ \alpha $-decay and the exponential law 201--222


Lecture Notes in Mathematics
Volume 1219, 1986

               Rainer Weissauer   Introduction . . . . . . . . . . . . . . 1--6
               Rainer Weissauer   Stabile Modulformen. (German) [Robust
                                  modular forms] . . . . . . . . . . . . . 7--22
               Rainer Weissauer   Differentialoperatoren. (German)
                                  [Differential operators] . . . . . . . . 23--44
               Rainer Weissauer   Automorphe Formen. (German) [Automorphic
                                  forms] . . . . . . . . . . . . . . . . . 45--50
               Rainer Weissauer   Hyperebenen. (German) [Hyperplanes]  . . 51--58
               Rainer Weissauer   Eisensteinreihen. (German) [Eisenstein
                                  series]  . . . . . . . . . . . . . . . . 59--67
               Rainer Weissauer   Eisensteinreihen vom Klingenschen Typ.
                                  (German) []  . . . . . . . . . . . . . . 68--79
               Rainer Weissauer   Ableitungen der Klingenschen
                                  Eisensteinreihen. (German) []  . . . . . 80--83
               Rainer Weissauer   Polstellen der Eisensteinreihen.
                                  (German) []  . . . . . . . . . . . . . . 84--96
               Rainer Weissauer   Der Grenzefall $ k = n + j + 1 / 2 $.
                                  (German) []  . . . . . . . . . . . . . . 97--107
               Rainer Weissauer   Das holomorphe diskrete Spektrum von $
                                  L^2 (\Gamma_n / G) $. (German) []  . . . 108--111
               Rainer Weissauer   Der Operator $ M (\rho, s) $. (German)
                                  [] . . . . . . . . . . . . . . . . . . . 112--122
               Rainer Weissauer   Stabile Liftungen. (German) [] . . . . . 123--130
               Rainer Weissauer   Die Siegelschen Eisensteinreihen.
                                  (German) []  . . . . . . . . . . . . . . 131--141


Lecture Notes in Mathematics
Volume 1220, 1986

                  Dieter Happel   Dynkin algebras  . . . . . . . . . . . . 1--14
               Wim H. Hesselink   Dimension formulas related to a tame
                                  quiver . . . . . . . . . . . . . . . . . 15--24
                    Idun Reiten   Cohen--Macaulay modules over isolated
                                  singularities  . . . . . . . . . . . . . 25--32
             George B. Seligman   Spin-like modules for certain
                                  infinite-dimensional Lie algebras  . . . 33--55
                  Alain Lascoux   La résultante de deux polynômes. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 56--72
              Piotr Pragacz and   
                   Jerzy Weyman   On the construction of resolutions of
                                  determinantal ideals: a survey . . . . . 73--92
                 Paul Van Praag   L'élimination linéaire dans les corps
                                  gauches. (French) [] . . . . . . . . . . 93--108
          Gérard Cauchon   Commutants des modules de type Dini sur
                                  les alg\`ebres noetheriennes. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 109--117
                       A. Hudry   Deux applications du principe
                                  d'additivité. (French) [] . . . . . . . . 118--129
                Lieven Le Bruyn   Cohomology of $ {\rm IP}_{(2)}^m $ . . . 130--156
                    S. P. Smith   Differential operators on the affine and
                                  projective lines in characteristic $ p >
                                  0 $  . . . . . . . . . . . . . . . . . . 157--177
            R. B. Warfield, Jr.   Noncommutative localized rings . . . . . 178--200


Lecture Notes in Mathematics
Volume 1221, 1986

                  L. Drewnowski   On the Dunford and Pettis integrals  . . 1--15
                   Jean Esterle   Real semigroups in commutative Banach
                                  algebras . . . . . . . . . . . . . . . . 16--35
               D. J. H. Garling   Brownian motion and UMD-spaces . . . . . 36--49
        Evarist Giné and   
                      Joel Zinn   Lectures on the central limit theorem
                                  for empirical processes  . . . . . . . . 50--113
                   N. J. Kalton   Some applications of vector-valued
                                  analytic and harmonic functions  . . . . 114--140
                   N. J. Kalton   Differentiability properties of vector
                                  valued functions . . . . . . . . . . . . 141--181
                  David Nualart   Malliavin calculus and stochastic
                                  integrals  . . . . . . . . . . . . . . . 182--194
José L. Rubio de Francia   Martingale and integral transforms of
                                  Banach space valued functions  . . . . . 195--222


Lecture Notes in Mathematics
Volume 1222, 1986

                   A. Katok and   
                 J.-M. Strelcyn   Existence of invariant manifolds for
                                  smooth maps with singularities . . . . . 1--40
                   A. Katok and   
                 J.-M. Strelcyn   Absolute continuity  . . . . . . . . . . 41--156
              F. Ledrappier and   
                 J.-M. Strelcyn   The estimation of entropy from below
                                  through Lyapunov characteristic
                                  exponents  . . . . . . . . . . . . . . . 157--179
                   A. Katok and   
                 J.-M. Strelcyn   The estimation of entropy from above
                                  through Lyapunov characteristic numbers  180--198
                 J.-M. Strelcyn   Plane billiards as smooth dynamical
                                  systems with singularities . . . . . . . 199--278


Lecture Notes in Mathematics
Volume 1223, 1986

         Paolo Acquistapace and   
               Brunello Terreni   On fundamental solutions for abstract
                                  parabolic equations  . . . . . . . . . . 1--11
           Marco Luigi Bernardi   On some singular nonlinear evolution
                                  equations  . . . . . . . . . . . . . . . 12--24
                 Robert Carroll   Some transmutation methods for canonical
                                  systems  . . . . . . . . . . . . . . . . 25--36
                 Jeffery Cooper   Scattering frequencies for time ---
                                  Periodic scattering problems . . . . . . 37--48
          Giuseppe Da Prato and   
             Alessandra Lunardi   Periodic solutions for linear
                                  integrodifferential equations with
                                  infinite delay in Banach spaces  . . . . 49--60
                   W. Desch and   
                 W. Schappacher   Linearized stability for nonlinear
                                  semigroups . . . . . . . . . . . . . . . 61--73
                   G. Di Blasio   On a class of semilinear parabolic
                                  equations in $ L^1 $ . . . . . . . . . . 74--91
              Giovanni Dore and   
                Davide Guidetti   On a singular non-autonomous equation in
                                  Banach spaces  . . . . . . . . . . . . . 92--101
                K.-J. Engel and   
                       R. Nagel   On the spectrum of certain systems of
                                  linear evolution equations . . . . . . . 102--109
        Jerome A. Goldstein and   
    Gis\`ele Ruíz Rieder   Some extensions of Thomas--Fermi theory  110--121
             Ronald Grimmer and   
             Eugenio Sinestrari   The extent of spatial regularity for
                                  parabolic integrodifferential equations  122--130
                    P. Grisvard   An approach to the singular solutions of
                                  elliptic problems via the theory of
                                  differential equations in Banach spaces  131--155
                   Rabah Labbas   A two point problem for a second order
                                  abstract differential equation . . . . . 156--159
                 Irena Lasiecka   ``Sharp'' regularity results for mixed
                                  hyperbolic problems of second order  . . 160--175
             Alessandra Lunardi   $ C^\infty $ regularity for fully
                                  nonlinear abstract evolution equations   176--185
               Shinnosuke Oharu   Semilinear evolution equations in Fréchet
                                  spaces . . . . . . . . . . . . . . . . . 186--207
                      M. Povoas   On some singular hyperbolic evolution
                                  equations in Hilbert spaces  . . . . . . 208--215
                 Jan Prüss   Periodic solutions of the thermostat
                                  problem  . . . . . . . . . . . . . . . . 216--226
                Andrea Pugliese   Some questions on the
                                  integrodifferential equation $ u^\prime
                                  = A K * u + B M * u $  . . . . . . . . . 227--242
               Hidetoshi Tahara   On Fuchsian hyperbolic partial
                                  differential equations . . . . . . . . . 243--253


Lecture Notes in Mathematics
Volume 1224, 1986

                  D. G. Aronson   The porous medium equation . . . . . . . 1--46
  Jesús Hernández   Qualitative methods for nonlinear
                                  diffusion equations  . . . . . . . . . . 47--118
                  Ivar Stakgold   Reaction-diffusion problems in chemical
                                  engineering  . . . . . . . . . . . . . . 119--152
                Giorgio Talenti   Rearrangements of functions and partial
                                  differential equations . . . . . . . . . 153--178


Lecture Notes in Mathematics
Volume 1225, 1986

                Victor Barcilon   Inverse eigenvalue problems  . . . . . . 1--51
                     M. Bertero   Regularization methods for linear
                                  inverse problems . . . . . . . . . . . . 52--112
       F. Alberto Grünbaum   Some mathematical problems motivated by
                                  medical imaging  . . . . . . . . . . . . 113--141
                 Frank Natterer   Numerical treatment of ill-posed
                                  problems . . . . . . . . . . . . . . . . 142--167
                 C. W. Groetsch   Regularization with linear equality
                                  constraints  . . . . . . . . . . . . . . 168--181
                     E. R. Pike   On the inversion of some first-kind
                                  Fredholm equations occurring in optical
                                  applications . . . . . . . . . . . . . . 182--200
                     E. R. Pike   Back Matter  . . . . . . . . . . . . . . 201--209


Lecture Notes in Mathematics
Volume 1226, 1986

                Alexandru Buium   Preliminaries  . . . . . . . . . . . . . 1--27
                Alexandru Buium   Differential descent theory  . . . . . . 28--86
                Alexandru Buium   Normality in differential Galois theory  87--120
                Alexandru Buium   Complements  . . . . . . . . . . . . . . 121--139


Lecture Notes in Mathematics
Volume 1227, 1986

                   Henry Helson   Multiplicity of spectral measures  . . . 1--22
                   Henry Helson   The spectral theorem . . . . . . . . . . 23--41
                   Henry Helson   Bochner's theorem  . . . . . . . . . . . 42--52
                   Henry Helson   Distribution of cocycles . . . . . . . . 53--75
                   Henry Helson   Cocycles on the line . . . . . . . . . . 76--101
                   Henry Helson   Front Matter . . . . . . . . . . . . . . ??
                   Henry Helson   Back Matter  . . . . . . . . . . . . . . ??


Lecture Notes in Mathematics
Volume 1228, 1986

             E. M. Abdalass and   
               J.-F. Maitre and   
                        F. Musy   A multigrid solver for a stabilized
                                  finite element discretization of the
                                  Stokes problem . . . . . . . . . . . . . 1--6
               Randolph E. Bank   A-posteriori error estimates. Adaptive
                                  local mesh refinement and multigrid
                                  iteration  . . . . . . . . . . . . . . . 7--22
                 R. E. Bank and   
               H. D. Mittelmann   Continuation and multi-grid for
                                  nonlinear elliptic systems . . . . . . . 23--37
                   B. J. Braams   Magnetohydrodynamic equilibrium
                                  calculations using multigrid . . . . . . 38--51
                Dietrich Braess   On the combination of the multigrid
                                  method and conjugate gradients . . . . . 52--64
                Achi Brandt and   
                  Dorit Ron and   
                 Daniel J. Amit   Multi-level approaches to discrete-state
                                  and stochastic problems  . . . . . . . . 65--98
                  A. Brandt and   
                     S. Ta'asan   Multigrid method for nearly singular and
                                  slightly indefinite problems . . . . . . 99--121
     László Fuchs   An adaptive multi-grid scheme for
                                  simulation of flows  . . . . . . . . . . 122--134
               W. Hackbusch and   
                    Z. P. Nowak   Multigrid methods for calculating the
                                  lifting potential incompressible flows
                                  around three-dimensional bodies  . . . . 135--148
                   P. W. Hemker   Defect correction and higher order
                                  schemes for the multi grid solution of
                                  the steady Euler equations . . . . . . . 149--165
                 Antony Jameson   Multigrid algorithms for compressible
                                  flow calculations  . . . . . . . . . . . 166--201
                    O. Kolp and   
                 H. Mierendorff   Bus coupled systems for multigrid
                                  algorithms . . . . . . . . . . . . . . . 202--218
                     Jan Mandel   On multigrid and iterative aggregation
                                  methods for nonsymmetric problems  . . . 219--231
          Oliver A. McBryan and   
           Eric F. Van de Velde   The multigrid method on parallel
                                  processors . . . . . . . . . . . . . . . 232--260
               U. Rüde and   
                    Chr. Zenger   On the treatment of singularities in the
                                  multigrid method . . . . . . . . . . . . 261--271
           W. Schröder and   
                  D. Hänel   A comparison of several Mg-methods for
                                  the solution of the time-dependent
                                  Navier--Stokes equations . . . . . . . . 272--284
               S. P. Spekreijse   Second order accurate upwind solutions
                                  of the $2$D steady Euler equations by
                                  the use of a defect correction method    285--300
            Panayot Vassilevski   Multigrid method in subspace and domain
                                  partitioning in the discrete solution of
                                  elliptic problems  . . . . . . . . . . . 301--314
             A. J. van der Wees   Fast multigrid employing ILU/SIP
                                  smoothing: a robust fast solver for $3$D
                                  transonic potential flow . . . . . . . . 315--331


Lecture Notes in Mathematics
Volume 1229, 1986

                   Ola Bratteli   Introduction with historical remarks . . 1--3
                   Ola Bratteli   General theory of derivations  . . . . . 4--33
                   Ola Bratteli   Noncommutative vectorfields  . . . . . . 34--240
                   Ola Bratteli   Dissipations . . . . . . . . . . . . . . 241--260
                   Ola Bratteli   Additional remarks . . . . . . . . . . . 261--264


Lecture Notes in Mathematics
Volume 1230, 1986

              S. Gömez and   
          A. V. Lévy and   
                    A. Calderon   A global zero residual least squares
                                  method . . . . . . . . . . . . . . . . . 1--10
                Donald Goldfarb   Efficient primal algorithms for strictly
                                  convex quadratic programs  . . . . . . . 11--25
               L. T. Watson and   
                M. P. Kamat and   
                     H. Y. Kwok   Location of multiple equilibrium
                                  configurations near limit points by a
                                  double dogleg strategy and tunnelling    26--45
             Philip E. Gill and   
              Walter Murray and   
        Michael A. Saunders and   
             Margaret H. Wright   Considerations of numerical analysis in
                                  a sequential quadratic programming
                                  method . . . . . . . . . . . . . . . . . 46--62
            Richard S. Falk and   
              Gerard R. Richter   Remarks on a continuous finite element
                                  scheme for hyperbolic equations  . . . . 63--72
                   Tony F. Chan   An efficient modular algorithm for
                                  coupled nonlinear systems  . . . . . . . 73--85
              K. R. Morison and   
               R. W. H. Sargent   Optimization of multistage processes
                                  described by differential-algebraic
                                  equations  . . . . . . . . . . . . . . . 86--102
            Howard C. Elman and   
                  Roy L. Streit   Polynomial iteration for nonsymmetric
                                  indefinite linear systems  . . . . . . . 103--117
                  Jorge Nocedal   Viewing the conjugate gradient method as
                                  a trust region algorithm . . . . . . . . 118--126
              Paul T. Boggs and   
                   Jon W. Tolle   An efficient strategy for utilizing a
                                  merit function in nonlinear programming
                                  algorithms . . . . . . . . . . . . . . . 127--137
               Andreas Griewank   Rates of convergence for secant methods
                                  on nonlinear problems in Hilbert space   138--157
                  J. H. Bramble   The construction of preconditioners for
                                  elliptic problems by substructuring  . . 158--166
                 Mie Nakata and   
            Mary Fanett Wheeler   Some superconvergence results for mixed
                                  finite element methods for linear
                                  parabolic problems . . . . . . . . . . . 167--174
                  J. P. Hennart   Nodal methods for the numerical solution
                                  of partial differential equations  . . . 175--190
              Franco Brezzi and   
      António Capelo and   
         Luisa Donatella Marini   Singular perturbation problems in
                                  semiconductor devices  . . . . . . . . . 191--198
                Benito Chen and   
                  P. G. Saffman   Stability of capillary waves on deep
                                  water  . . . . . . . . . . . . . . . . . 199--207
                     J. R. Cash   A block $ 5 (4) $ explicit Runge--Kutta
                                  formula with `free' interpolation  . . . 208--220
             Roland England and   
          Robert M. M. Mattheij   Sequential step control for integration
                                  of two-point boundary value problems . . 221--234


Lecture Notes in Mathematics
Volume 1231, 1986

           Ernst-Ulrich Gekeler   Notations  . . . . . . . . . . . . . . . 1--2
           Ernst-Ulrich Gekeler   Drinfeld modules . . . . . . . . . . . . 2--10
           Ernst-Ulrich Gekeler   Lattices . . . . . . . . . . . . . . . . 10--17
           Ernst-Ulrich Gekeler   Partial zeta functions . . . . . . . . . 17--24
           Ernst-Ulrich Gekeler   Drinfeld modules of rank $1$ . . . . . . 24--40
           Ernst-Ulrich Gekeler   Modular curves over $C$  . . . . . . . . 40--58
           Ernst-Ulrich Gekeler   Expansions around cusps  . . . . . . . . 58--78
           Ernst-Ulrich Gekeler   Modular forms and functions  . . . . . . 78--93
           Ernst-Ulrich Gekeler   Complements  . . . . . . . . . . . . . . 94--100


Lecture Notes in Mathematics
Volume 1232, 1986

          Peter Cornelis Schuur   Introduction . . . . . . . . . . . . . . 1--12
          Peter Cornelis Schuur   The emergence of solitons of the
                                  Korteweg--de Vries equation from
                                  arbitrary initial conditions . . . . . . 13--33
          Peter Cornelis Schuur   Asymptotic estimates of solutions of the
                                  Korteweg--de Vries equation on right
                                  half lines slowly moving to the left . . 34--77
          Peter Cornelis Schuur   Multisoliton phase shifts for the
                                  Korteweg--de Vries equation in the case
                                  of a nonzero reflection coefficient  . . 78--88
          Peter Cornelis Schuur   On the approximation of a real potential
                                  in the Zakharov--Shabat system by its
                                  reflectionless part  . . . . . . . . . . 89--108
          Peter Cornelis Schuur   Decomposition and estimates of solutions
                                  of the modified Korteweg--de Vries
                                  equation on right half lines slowly
                                  moving leftward  . . . . . . . . . . . . 109--123
          Peter Cornelis Schuur   Multisoliton phase shifts for the
                                  modified Korteweg--de Vries equation in
                                  the case of a nonzero reflection
                                  coefficient  . . . . . . . . . . . . . . 124--135
          Peter Cornelis Schuur   Asymptotic estimates of solutions of the
                                  sine-Gordon equation on right half lines
                                  almost linearly moving leftward  . . . . 136--150
          Peter Cornelis Schuur   On the approximation of a complex
                                  potential in the Zakharov--Shabat system
                                  by its reflectionless part . . . . . . . 151--172


Lecture Notes in Mathematics
Volume 1234, 1986

                  A. K. Agarwal   Partitions with `$N$ copies of $N$'  . . 1--4
                Didier Arqu\`es   Relations fonctionnelles et dénombrement
                                  des hypercartes planaires pointées.
                                  (French) []  . . . . . . . . . . . . . . 5--26
          Joffroy Beauquier and   
            Loÿs Thimonier   Prefix-free words of length $N$ over $M$
                                  letters: two-sided well-balanced
                                  parentheses and palindroms . . . . . . . 27--33
                    F. Bergeron   Combinatorial representations of some
                                  Lie groups and Lie algebras  . . . . . . 34--47
                 D. M. Bressoud   Definite integral evaluation by
                                  enumeration, partial results in the
                                  MacDonald conjectures  . . . . . . . . . 48--57
 Myriam de Sainte-Catherine and   
          Gérard Viennot   Enumeration of certain Young tableaux
                                  with bounded height  . . . . . . . . . . 58--67
Jacques Désarménien and   
                Dominique Foata   Fonctions symétriques et séries
                                  hypergéométriques basiques multivariées,
                                  II. (French) []  . . . . . . . . . . . . 68--90
                   A. M. Garsia   Raising operators and Young's rule . . . 91--105
                  Ira M. Gessel   Counting three-line latin rectangles . . 106--111
    Dominique Gouyou-Beauchamps   Chemins sous-diagonaux et tableaux de
                                  Young. (French) [] . . . . . . . . . . . 112--125
             André Joyal   Foncteurs analytiques et esp\`eces de
                                  structures. (French) []  . . . . . . . . 126--159
                Adalbert Kerber   Enumeration under finite group action:
                                  Symmetry classes of mappings . . . . . . 160--176
               Germain Kreweras   Joint distributions of three descriptive
                                  parameters of bridges  . . . . . . . . . 177--191
                Gilbert Labelle   Some new computational methods in the
                                  theory of species  . . . . . . . . . . . 192--209
              Pierre Leroux and   
       Gérard X. Viennot   Combinatorial resolution of systems of
                                  differential equations, I. Ordinary
                                  differential equations . . . . . . . . . 210--245
           André Longtin   Une combinatoire non-commutative pour
                                  l'étude des nombres secants. (French) []  246--266
          Christophe Reutenauer   Theorem of Poincar\`e--Birkhoff--Witt,
                                  logarithm and symmetric group
                                  representations of degrees equal to
                                  Stirling numbers . . . . . . . . . . . . 267--284
             Richard P. Stanley   A baker's dozen of conjectures
                                  concerning plane partitions  . . . . . . 285--293
                  Volker Strehl   Combinatorics of Jacobi configurations
                                  I: Complete oriented matchings . . . . . 294--307
                Claudette Tabib   About the Inequalities of Erd\Hos and
                                  Moser on the largest transitive
                                  subtournament of a tournament  . . . . . 308--320


Lecture Notes in Mathematics
Volume 1233, 1987

                  Yu. S. Hohlov   The estimation of the rate of
                                  convergence in the integral limit
                                  theorem in the Euclidean motion group    1--10
                A. M. Kagan and   
                   A. A. Zinger   Contribution to the analytic theory of
                                  linear forms of independent random
                                  variables  . . . . . . . . . . . . . . . 11--22
             L. B. Klebanov and   
              J. A. Melamed and   
                   C. M. Manija   $ \upsilon_p$-strictly stable laws and
                                  estimation of their parameters . . . . . 23--31
                    M. Koicheva   The method of metric distances in the
                                  problem of estimation of the deviation
                                  from the exponential distribution  . . . 32--35
                 V. Yu. Korolev   The accuracy of the normal approximation
                                  to the distribution of the sum of a
                                  random number of independent random
                                  variables  . . . . . . . . . . . . . . . 36--40
              V. M. Kruglov and   
                    A. N. Titov   Mixtures of probability distributions    41--56
                 Makoto Maejima   Some limit theorems for summability
                                  methods of I.I.D. random variables . . . 57--68
               A. V. Nagaev and   
                S. M. Shcolnick   Properties of mode of spectral positive
                                  stable distributions . . . . . . . . . . 69--78
                 V. B. Nevzorov   Two characterizations using records  . . 79--85
                  V. N. Nikulin   On orthogonal-series estimators for
                                  probability distributions  . . . . . . . 86--92
               A. Obretenov and   
                      S. Rachev   Estimates of the deviation between the
                                  exponential and new classes of bivariate
                                  distributions  . . . . . . . . . . . . . 93--102
                    E. Omey and   
                   E. Willekens   On the difference between distributions
                                  of sums and maxima . . . . . . . . . . . 103--113
                    V. A. Popov   On the inequalities of Berry--Esseen and
                                  V. M. Zolotarev  . . . . . . . . . . . . 114--124
                    Viorel Radu   Some fixed point theorems probabilistic
                                  metric spaces  . . . . . . . . . . . . . 125--133
                      M. Riedel   The asymptotic bias in a deviation of a
                                  location model . . . . . . . . . . . . . 134--144
          Hans-Joachim Rossberg   Cramér's decomposition theorem within the
                                  continuation of distribution functions   145--155
             Tomasz Rychlik and   
            Ryszard Zieli\'nski   An asymptotically most bias-robust
                                  invariant estimator of location  . . . . 156--171
          Z. Sasvári and   
                        W. Wolf   Characterizing the distributions of the
                                  random vectors $ X_1 $, $ X_2 $, $ X_3 $
                                  by the distribution of the statistic $
                                  (X_1 - X_3, X_2 - X_3) $ . . . . . . . . 172--177
                   I. \vSiganov   On stability estimates of Cramér's
                                  theorem  . . . . . . . . . . . . . . . . 178--181
    László Szeidl   On the estimation of moments of
                                  regenerative cycles in a general closed
                                  central-server queueing network  . . . . 182--189


Lecture Notes in Mathematics
Volume 1235, 1987

                   Thomas Barth   Sur les principes fondamentaux de la
                                  théorie du potentiel par rapport \`a un
                                  noyau. (French) [] . . . . . . . . . . . 1--14
                    H. Ben Saad   Probl\`eme de type Skorohod. (French) [] 15--38
                Nicolas Bouleau   Autour de la variance comme forme de
                                  Dirichlet: filtrations et résolutions de
                                  l'identité contractions et BMO, espérances
                                  conditionnelles et principe complet du
                                  maximum. (French) [] . . . . . . . . . . 39--53
                Nicolas Bouleau   Énergie locale et densité de temps
                                  d'occupation. (French) []  . . . . . . . 54--56
                Mohamed El Kory   Généralisation de la variation d'une
                                  fonction et application. (French) [] . . 57--87
                 Mohamed Hmissi   Régularité relative au noyau de Poisson.
                                  (French) []  . . . . . . . . . . . . . . 88--104
                       G. Lumer   Principes du maximum paraboliques pour
                                  des domaines $ (x, t) $
                                  non-cylindriques. (French) []  . . . . . 105--113
                   Habib Maagli   Représentation intégrale des potentiels.
                                  (French) []  . . . . . . . . . . . . . . 114--119
                  Serge Nicaise   Approche spectrale des probl\`emes de
                                  diffusion sur les réseaux. (French) []    120--140
              A. de la Pradelle   Sur la subordination des résolvantes.
                                  (French) []  . . . . . . . . . . . . . . 141--154
          Arnaud de la Pradelle   Résolvantes complexes et potentiels
                                  intrins\`eques. (French) []  . . . . . . 155--171
                  Mohamed Selmi   Crit\`eare de comparaison de certains
                                  noyaux de Green. (French) [] . . . . . . 172--194
                 Pierre Tortrat   Aspects potentialistes de l'iteration
                                  des polynômes. (French) []  . . . . . . . 195--209


Lecture Notes in Mathematics
Volume 1236, 1987

         Piermarco Cannarsa and   
                Vincenzo Vespri   Existence and uniqueness results for a
                                  non linear stochastic partial
                                  differential equation  . . . . . . . . . 1--24
       Mireille Chaleyat-Maurel   Continuity in nonlinear filtering: some
                                  different approaches . . . . . . . . . . 25--39
                     P. L. Chow   Expectation functionals associated with
                                  some stochastic evolution equations  . . 40--56
                Franco Flandoli   Dirichlet boundary value problem and
                                  optimal control for a stochastic
                                  distributed parameter system . . . . . . 57--71
            L. Hazareesingh and   
                      D. Kannan   Stochastic product integration and
                                  stochastic equations . . . . . . . . . . 72--120
        William E. Hopkins, Jr.   Some remarks on a problem in stochastic
                                  optimal control  . . . . . . . . . . . . 121--130
          H. Körezlio\uglu   Passage from two-parameters to infinite
                                  dimension  . . . . . . . . . . . . . . . 131--153
                 Hui-Hsiung Kuo   The heat equation and Fourier transforms
                                  of generalized Brownian functionals  . . 154--163
                 Akira Ichikawa   The separation principle for stochastic
                                  differential equations with unbounded
                                  coefficients . . . . . . . . . . . . . . 164--171
         Michel Métivier   Weak convergence of measure valued
                                  processes using Sobolev-imbedding
                                  techniques . . . . . . . . . . . . . . . 172--183
                   Daniel Ocone   Probability distributions of solutions
                                  to some stochastic partial differential
                                  equations  . . . . . . . . . . . . . . . 184--199
              É. Pardoux   Two-sided stochastic calculus for spdes  200--207
                    M. Piccioni   Convergence of implicit discretization
                                  schemes for linear differential
                                  equations with application to filtering  208--229
        A. S. Üstünel   Some applications of the Malliavin
                                  calculus to stochastic analysis  . . . . 230--238
                     J. Zabczyk   Exit problem for infinite dimensional
                                  systems  . . . . . . . . . . . . . . . . 239--257


Lecture Notes in Mathematics
Volume 1237, 1987

             M. G. De Bruin and   
                J. Gilewicz and   
                  H.-J. Runckel   A survey of bounds for the zeros of
                                  analytic functions obtained by continued
                                  fraction methods . . . . . . . . . . . . 1--23
  Khristina I. Kuchminskaya and   
             Wojciech Siemaszko   Rational approximation and interpolation
                                  of functions by branched continued
                                  fractions  . . . . . . . . . . . . . . . 24--40
            Wies\law Ple\'sniak   Polynomial condition of Leja . . . . . . 41--45
           V. Ya. Skorobogat'ko   Branched continued fractions and
                                  convergence acceleration problems  . . . 46--50
             André Draux   Two-point Padé-type and Padé approximants  51--62
              Charles B. Dunham   Existence of Chebyshev approximations by
                                  transformations of powered rationals . . 63--67
               R. K. Kova\vceva   Best Chebyshev rational approximants and
                                  poles of functions . . . . . . . . . . . 68--72
                      K. Reczek   Hyperbolic approximation of meromorphic
                                  functions  . . . . . . . . . . . . . . . 73--78
                  Herbert Stahl   Three different approaches to a proof of
                                  convergence for Padé approximants . . . . 79--124
                  Helmut Werner   On the continuity properties of the
                                  multivariate Padé-Operator $ T_{m, n} $   125--133
                     Z. Wronicz   The Marchaud inequality for generalized
                                  moduli of smoothness . . . . . . . . . . 134--144
            A. I. Aptekarev and   
                 V. A. Kalyagin   Analytic properties of two-dimensional
                                  continued $P$-fraction expansions with
                                  periodical coefficients and their
                                  simultaneous Padé--Hermite approximants   145--160
         Marcel G. de Bruin and   
                  Lisa Jacobsen   Modification of generalised continued
                                  fractions. I. Definition and application
                                  to the limit-periodic case . . . . . . . 161--176
                L. Jacobsen and   
                W. B. Jones and   
                   H. Waadeland   Convergence acceleration for continued
                                  fractions $ K(a_n / 1) $, where $ a_n
                                  \to \infty $ . . . . . . . . . . . . . . 177--187
           William B. Jones and   
         Olav Njåstad and   
                    W. J. Thron   Perron--Carathéodory continued fractions  188--206
            Kh. I. Kuchminskaya   On approximation of functions by
                                  two-dimensional continued fractions  . . 207--216
               V. I. Parusnikov   On the convergence of the
                                  multidimensional limit-periodic
                                  continued fractions  . . . . . . . . . . 217--227
              Stefan Paszkowski   Quelques generalisations de la
                                  representation de reels par des
                                  fractions continues. (French) [] . . . . 228--238
               Haakon Waadeland   Local properties of continued fractions  239--250
                 J. Antolin and   
                        A. Cruz   A Stieltjes analysis of the $ K^+ - p $
                                  forward elastic amplitude  . . . . . . . 251--269


Lecture Notes in Mathematics
Volume 1238, 1987

               Michael Holz and   
       Klaus-Peter Podewski and   
               Karsten Steffens   Introduction . . . . . . . . . . . . . . 1--9
               Michael Holz and   
       Klaus-Peter Podewski and   
               Karsten Steffens   Set theoretic foundations  . . . . . . . 10--32
               Michael Holz and   
       Klaus-Peter Podewski and   
               Karsten Steffens   General criteria and their applications  33--97
               Michael Holz and   
       Klaus-Peter Podewski and   
               Karsten Steffens   Structural properties of families  . . . 98--157
               Michael Holz and   
       Klaus-Peter Podewski and   
               Karsten Steffens   Miscellaneous theorems on marriages  . . 158--174


Lecture Notes in Mathematics
Volume 1239, 1987

                     Paul Vojta   Heights and integral points  . . . . . . 1--15
                     Paul Vojta   Diophantine approximations . . . . . . . 16--29
                     Paul Vojta   A correspondence with Nevanlinna theory  30--45
                     Paul Vojta   Consequences of the main conjecture  . . 46--56
                     Paul Vojta   The ramification term  . . . . . . . . . 57--88
                     Paul Vojta   Approximation to hyperplanes . . . . . . 89--123


Lecture Notes in Mathematics
Volume 1240, 1987

           D. V. Chudnovsky and   
               G. V. Chudnovsky   Computer assisted number theory with
                                  applications . . . . . . . . . . . . . . 1--68
                    Harvey Cohn   Successive diagonal projections of
                                  Hilbert modular functions  . . . . . . . 69--86
               Paul Erd\Hos and   
            Melvyn B. Nathanson   Problems and results on minimal bases in
                                  additive number theory . . . . . . . . . 87--96
               Paul Erd\Hos and   
                 Carl Pomerance   On the number of false witnesses for a
                                  composite number . . . . . . . . . . . . 97--100
                  Gerd Faltings   Arithmetic theory of Siegel modular
                                  forms  . . . . . . . . . . . . . . . . . 101--108
             Gregory A. Freiman   What is the structure of $K$ if $ K + K$
                                  is small?  . . . . . . . . . . . . . . . 109--134
                    Andrew Haas   The geometry of Markoff forms  . . . . . 135--144
                  D. Hajela and   
                       B. Smith   On the maximum of an exponential sum of
                                  the Möbius function . . . . . . . . . . . 145--164
                 David Harbater   Galois coverings of the arithmetic line  165--195
                William L. Hoyt   Notes on elliptic $ K3 $ surfaces  . . . 196--213
                   Paul Hriljac   Splitting fields of principal
                                  homogeneous spaces . . . . . . . . . . . 214--229
           Martin C. Gutzwiller   Mechanics on a surface of constant
                                  negative curvature . . . . . . . . . . . 230--258
         Peter S. Landweber and   
                Robert E. Stong   The depth of rings of invariants over
                                  finite fields  . . . . . . . . . . . . . 259--274
                    Jacob Sturm   On the congruence of modular forms . . . 275--280
    Samuel S. Wagstaff, Jr. and   
                    J. W. Smith   Methods of factoring large integers  . . 281--303
                   R. Weissauer   Divisors of the Siegel modular variety   304--324


Lecture Notes in Mathematics
Volume 1241, 1987

             Lars Gårding   Singularities in linear wave propagation 1--9
             Lars Gårding   Hyperbolic operators with constant
                                  coefficients . . . . . . . . . . . . . . 10--33
             Lars Gårding   Wave front sets and oscillatory
                                  integrals  . . . . . . . . . . . . . . . 34--50
             Lars Gårding   Pseudodifferential operators . . . . . . 51--72
             Lars Gårding   The Hamilton--Jacobi equation and
                                  symplectic geometry  . . . . . . . . . . 73--84
             Lars Gårding   A global parametrix for the fundamental
                                  solution of a first order hyperbolic
                                  pseudodifferential operator  . . . . . . 85--94
             Lars Gårding   Changes of variables and duality for
                                  general oscillatory integrals  . . . . . 95--103
             Lars Gårding   Sharp and diffuse fronts of paired
                                  oscillatory integrals  . . . . . . . . . 104--123
             Lars Gårding   Front Matter . . . . . . . . . . . . . . ??
             Lars Gårding   Back Matter  . . . . . . . . . . . . . . ??


Lecture Notes in Mathematics
Volume 1242, 1987

                Aad Dijksma and   
               Heinz Langer and   
                   Henk de Snoo   Unitary colligations in Krein spaces and
                                  their role in the extension theory of
                                  isometries and symmetric linear
                                  relations in Hilbert spaces  . . . . . . 1--42
                Svetozar Kurepa   Quadratic and sesquilinear forms.
                                  Contributions to characterizations of
                                  inner product spaces . . . . . . . . . . 43--76
   J. Hoffmann-Jòrgensen   The general marginal problem . . . . . . 77--367
               Salih Suljagi\'c   Invariant subspaces of shifts in
                                  quaternionic Hilbert space . . . . . . . 368--373
         Z. R. Pop-Stojanovi\'c   Energy in Markov processes . . . . . . . 374--395
              D. Butkovi\'c and   
             H. Kraljevi\'c and   
                      N. Sarapa   On the almost convergence  . . . . . . . 396--417
               Neven Elezovi\'c   $p$-nuclear operators and cylindrical
                                  measures on tensor products of Banach
                                  spaces . . . . . . . . . . . . . . . . . 418--432


Lecture Notes in Mathematics
Volume 1243, 1987

                  Martin Andler   Relationships of divisibility between
                                  local $L$-functions associated to
                                  representations of complex reductive
                                  groups . . . . . . . . . . . . . . . . . 1--14
        M. W. Baldoni-Silva and   
                    A. W. Knapp   Irreducible unitary representations of
                                  some groups of real rank two . . . . . . 15--36
        M. W. Baldoni-Silva and   
                    A. W. Knapp   Vogan's algorithm for computing
                                  composition series . . . . . . . . . . . 37--72
                   Dan Barbasch   Unipotent representations and unitarity  73--85
               Jean-Louis Clerc   Bochner--Riesz means of $ H^P $
                                  functions ($ 0 < p < 1 $) on compact Lie
                                  groups . . . . . . . . . . . . . . . . . 86--107
            Patrick Delorme and   
                    van den Ban   Injection de modules sphériques pour les
                                  espaces symétriques réductifs dans
                                  certaines représentations induites.
                                  (French) [Injection of spherical modules
                                  for reductive symmetric spaces into
                                  certain induced representations] . . . . 108--143
                 Anthony Joseph   On the cyclicity of vectors associated
                                  with Duflo involutions . . . . . . . . . 144--180
                      A. Joseph   Corrigenda and addenda to ``On the
                                  cyclicity of vectors associated with
                                  Duflo involutions''  . . . . . . . . . . 181--188
                Takeshi Kawazoe   Atomic Hardy spaces on semisimple Lie
                                  groups . . . . . . . . . . . . . . . . . 189--197
                  Jeremy Orloff   Orbital integrals on symmetric spaces    198--239
              Dale Peterson and   
               Mich\`ele Vergne   Recurrence relations for Plancherel
                                  functions  . . . . . . . . . . . . . . . 240--261
         Jürgen Rohlfs and   
                    Birgit Speh   A cohomological method for the
                                  determination of limit multiplicities    262--272
                    W. Rossmann   Springer representations and coherent
                                  continuation representations of Weyl
                                  groups . . . . . . . . . . . . . . . . . 273--282
                   Shigeru Sano   Distributions sphériques invariantes sur
                                  l'espace symétrique semi-simple et son
                                  $c$-dual. (French) []  . . . . . . . . . 283--309


Lecture Notes in Mathematics
Volume 1244, 1987

             Werner Müller   Preliminaries  . . . . . . . . . . . . . 1--4
             Werner Müller   Cusps of rank one  . . . . . . . . . . . 5--12
             Werner Müller   The heat equation on the cusp  . . . . . 13--21
             Werner Müller   The Neumann Laplacian on the cusp  . . . 22--30
             Werner Müller   Manifolds with cusps of rank one . . . . 31--45
             Werner Müller   The spectral resolution of $H$ . . . . . 46--59
             Werner Müller   The heat kernel  . . . . . . . . . . . . 60--63
             Werner Müller   The Eisenstein functions . . . . . . . . 64--73
             Werner Müller   The spectral shift function  . . . . . . 74--83
             Werner Müller   The $ L^2 $-index of generalized Dirac
                                  operators  . . . . . . . . . . . . . . . 84--99
             Werner Müller   The unipotent contribution to the index  100--138
             Werner Müller   The Hirzebruch conjecture  . . . . . . . 139--149


Lecture Notes in Mathematics
Volume 1245, 1987

                 Stephen Rallis   Notation and preliminaries . . . . . . . 1--9
                 Stephen Rallis   Special Eisenstein series on orthogonal
                                  groups . . . . . . . . . . . . . . . . . 10--24
                 Stephen Rallis   Siegel formula revisited . . . . . . . . 25--48
                 Stephen Rallis   Inner product formulae . . . . . . . . . 49--86
                 Stephen Rallis   Siegel formula --- Compact case  . . . . 87--127
                 Stephen Rallis   Local $l$-factors  . . . . . . . . . . . 128--173
                 Stephen Rallis   Global theory  . . . . . . . . . . . . . 174--199


Lecture Notes in Mathematics
Volume 1246, 1987

           James A. Carlson and   
                 Carlos Simpson   Shimura Varieties of Weight Two Hodge
                                  Structures . . . . . . . . . . . . . . . 1--15
            Eduardo Cattani and   
              Aroldo Kaplan and   
                Wilfried Schmid   Variations of polarized Hodge structure:
                                  Asymptotics and monodromy  . . . . . . . 16--31
            Eduardo Cattani and   
              Aroldo Kaplan and   
                Wilfried Schmid   Some remarks on $ L^2 $ and intersection
                                  cohomologies . . . . . . . . . . . . . . 32--41
                 Alan H. Durfee   The $L$-adic cohomology of links . . . . 42--48
          F. Guillén and   
                      F. Puerta   Hyperrésolutions cubiques et applications
                                  \`a la théorie de Hodge--Deligne.
                                  (French) []  . . . . . . . . . . . . . . 49--74
                Richard M. Hain   Iterated integrals and mixed Hodge
                                  structures on homotopy groups  . . . . . 75--83
                Richard M. Hain   Higher Albanese manifolds  . . . . . . . 84--91
            Richard M. Hain and   
                  Steven Zucker   A guide to unipotent variations of mixed
                                  Hodge structure  . . . . . . . . . . . . 92--106
            Richard M. Hain and   
                  Steven Zucker   Truncations of mixed Hodge complexes . . 107--114
               Masaki Kashiwara   Poincaré lemma for a variation of
                                  polarized Hodge structure  . . . . . . . 115--124
                      F. Loeser   Évaluation d'intégrales et théorie de
                                  Hodge. (French) [] . . . . . . . . . . . 125--142
               V. Navarro Aznar   Sur les structures de Hodge mixtes
                                  associées aux cycles évanescents. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 143--153
               Vishwambhar Pati   $ L^2 $-cohomology of algebraic
                                  varieties in the Fubinu metric . . . . . 154--164
            J. H. M. Steenbrink   Some remarks about the Hodge conjecture  165--175


Lecture Notes in Mathematics
Volume 1247, 1987

              Daniel W. Stroock   Homogeneous chaos revisited  . . . . . . 1--7
                P.-A. Meyer and   
                      J. A. Yan   \`A propos des distributions sur
                                  l'espace de Wiener. (French) []  . . . . 8--26
                      J. A. Yan   Développement des distributions suivant
                                  les chaos de Wiener et applications \`a
                                  l'analyse stochastique. (French) []  . . 27--32
                    P.-A. Meyer   Éléments de probabilités quantiques.
                                  (French) []  . . . . . . . . . . . . . . 33--80
     Rémi Léandre   Densit\`e en temps petit d'un processus
                                  de sauts. (French) []  . . . . . . . . . 81--99
                      Liming Wu   Construction de l'opérateur de Malliavin
                                  sur l'espace de Poisson. (French) [] . . 100--113
                      Liming Wu   Inégalité de Sobolev sur l'espace de
                                  Poisson. (French) [] . . . . . . . . . . 114--136
                Dominique Bakry   Étude des transformations de Riesz dans
                                  les variétés riemanniennes \`a courbure de
                                  Ricci minorée. (French) []  . . . . . . . 137--172
        Michel Émery and   
                   J. E. Yukich   A simple proof of the logarithmic
                                  Sobolev inequality on the circle . . . . 173--175
                      Y. Le Jan   Temps local et superchamp. (French) []   176--190
                   Jean Bertoin   Temps locaux et intégration stochastique
                                  pour les processus de Dirichlet.
                                  (French) []  . . . . . . . . . . . . . . 191--205
                   Richard Bass   $ L_p $ inequalities for functionals of
                                  Brownian motion  . . . . . . . . . . . . 206--217
                  Burgess Davis   On the Barlow--Yor inequalities for
                                  local time . . . . . . . . . . . . . . . 218--220
                    S. D. Jacka   A maximal inequality for martingale
                                  local times  . . . . . . . . . . . . . . 221--229
                    S. Song and   
                         M. Yor   Inégalités pour les processus
                                  self-similaires arrêtés \`a un temps
                                  quelconque. (French) []  . . . . . . . . 230--245
                      H. Tanaka   Limit distribution for $1$-dimensional
                                  diffusion in a reflected Brownian medium 246--261
            J. Azéma and   
                         M. Yor   Interprétation d'un calcul de H. Tanaka
                                  en théorie générale des processus. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 262--269
                  Ph. Biane and   
              J.-F. Le Gall and   
                         M. Yor   Un processus qui ressemble au pont
                                  Brownien. (French) []  . . . . . . . . . 270--275
              Sonia Fourati and   
                  Erik Lenglart   Tribus homog\`enes et commutation de
                                  projections. (French) [] . . . . . . . . 276--288
                     Jim Pitman   Stationary excursions  . . . . . . . . . 289--302


Lecture Notes in Mathematics
Volume 1248, 1987

                  Joel D. Avrin   Convergence properties of
                                  strongly-damped semilinear wave
                                  equations  . . . . . . . . . . . . . . . 1--4
                   S. A. Belbas   Numerical solution of certain nonlinear
                                  parabolic partial differential equations 5--14
                   M. S. Berger   The explicit solution of nonlinear
                                  ordinary and partial differential
                                  equations I. Conceptual ideas  . . . . . 15--27
         Whei-Ching C. Chan and   
                  Shui-Nee Chow   Uniform boundness and generalized
                                  inverses in Liapunov--Schmidt method for
                                  subharmonics . . . . . . . . . . . . . . 28--39
                    Hans Engler   Existence of radially symmetric
                                  solutions of strongly damped wave
                                  equations  . . . . . . . . . . . . . . . 40--51
                  H. Engler and   
              F. Neubrander and   
                    J. Sandefur   Strongly damped semilinear second order
                                  equations  . . . . . . . . . . . . . . . 52--62
              Lawrence C. Evans   Nonlinear semigroup theory and viscosity
                                  solutions of Hamilton--Jacobi PDE  . . . 63--77
            Jerome A. Goldstein   Evolution equations with nonlinear
                                  boundary conditions  . . . . . . . . . . 78--84
                   Jack K. Hale   Asymptotically smooth semigroups and
                                  applications . . . . . . . . . . . . . . 85--93
          John Mallet-Paret and   
                 George R. Sell   The principle of spatial averaging and
                                  inertial manifolds for
                                  reaction-diffusion equations . . . . . . 94--107
          Robert H. Martin, Jr.   Applications of semigroup theory to
                                  reaction-diffusion systems . . . . . . . 108--126
              Jeffrey Rauch and   
                Michael C. Reed   Ultrasingularities in nonlinear waves    127--133
                 M. C. Reed and   
                     J. J. Blum   A reaction-hyperbolic system in
                                  physiology . . . . . . . . . . . . . . . 134--141
                 Eric Schechter   Compact perturbations of linear
                                  $m$-dissipative operators which lack
                                  Gihman's property  . . . . . . . . . . . 142--161
              Thomas I. Seidman   Two compactness lemmas . . . . . . . . . 162--168
                    Andrew Vogt   The Riccati equation: When nonlinearity
                                  reduces to linearity . . . . . . . . . . 169--185


Lecture Notes in Mathematics
Volume 1249, 1987

              Imme van den Berg   Four examples of nonstandard reasoning
                                  in asymptotics . . . . . . . . . . . . . 2--43
              Imme van den Berg   Asymptotic expressions for the
                                  remainders associated to expansions of
                                  type $ \sum \limits_{n = 0}^\infty { c_n
                                  \frac {{z^n }}{{n!}}, } \sum \limits_{n
                                  = 0}^\infty { c_n z^n and } \sum
                                  \limits_{n = 0 c_n n!z^n } $, where $
                                  c_{n + p} / c_n \to c $  . . . . . . . . 46--71
              Imme van den Berg   Asymptotic expressions for the
                                  remainders associated to expansions of
                                  type $ \sum \limits_{n = 0}^\infty { c_n
                                  \frac {{z^n }}{{n!}}, } \sum \limits_{n
                                  = 0}^\infty { c_n z^n and } \sum
                                  \limits_{n = 0 c_n n!z^n } $: Critical
                                  regions, uniform behaviour . . . . . . . 72--103
              Imme van den Berg   External sets  . . . . . . . . . . . . . 106--141
              Imme van den Berg   Approximation lemmas . . . . . . . . . . 142--151
              Imme van den Berg   Shadow expansions  . . . . . . . . . . . 152--176


Lecture Notes in Mathematics
Volume 1250, 1987

              Ph. Blanchard and   
                  Ph. Combe and   
                 M. Sirugue and   
              M. Sirugue-Collin   Jump processes related to the two
                                  dimensional Dirac equation . . . . . . . 1--13
                E. Brüning   A constructive characterization of Radon
                                  probability measures on infinite
                                  dimensional spaces . . . . . . . . . . . 14--30
                  Ian M. Davies   A ``Brownian motion'' with constant
                                  speed  . . . . . . . . . . . . . . . . . 31--35
             M. H. A. Davis and   
   Guillermo L. Gómez M.   The semi-martingale approach to the
                                  optimal resource allocation in the
                                  controlled labour-surplus economy  . . . 36--74
                  R. Figari and   
                    S. Teta and   
                     E. Orlandi   A central limit theorem for the
                                  Laplacian in regions with many small
                                  holes  . . . . . . . . . . . . . . . . . 75--86
               M. Fukushima and   
                   S. Nakao and   
                      M. Takeda   On Dirichlet forms with random data ---
                                  Recurrence and homogenization  . . . . . 87--97
                  R. Graham and   
                   D. Roekaerts   A Nicolai map for supersymmetric quantum
                                  mechanics on Riemannian manifolds  . . . 98--105
                        Z. Haba   Stochastic equations for some Euclidean
                                  fields . . . . . . . . . . . . . . . . . 106--119
               Yasunari Higuchi   Percolation of the two-dimensional Ising
                                  model  . . . . . . . . . . . . . . . . . 120--127
               N. G. van Kampen   How do stochastic processes enter into
                                  physics? . . . . . . . . . . . . . . . . 128--137
                  Werner Kirsch   Estimates on the difference between
                                  succeeding eigenvalues and Lifshitz
                                  tails for random Schrödinger operators    138--151
                 Timo Koski and   
                 Wilfried Loges   On identification for distributed
                                  parameter systems  . . . . . . . . . . . 152--159
                    P.-A. Meyer   Fock space and probability theory  . . . 160--170
          Y\=oichi \=Oshima and   
               Masayoshi Takeda   On a transformation of symmetric Markov
                                  process and recurrence property  . . . . 171--183
                    Y. \=Oshima   On absolute continuity of two symmetric
                                  diffusion processes  . . . . . . . . . . 184--194
                Errico Presutti   Collective phenomena in stochastic
                                  particle systems . . . . . . . . . . . . 195--232
                 Yu. A. Rozanov   Boundary problems for stochastic partial
                                  differential equations . . . . . . . . . 233--268
                W. R. Schneider   Generalized one-sided stable
                                  distributions  . . . . . . . . . . . . . 269--287
             Geoffrey L. Sewell   Quantum fields, gravitation and
                                  thermodynamics . . . . . . . . . . . . . 288--297
                       A. Stoll   Self-repellent random walks and polymer
                                  measures in two dimensions . . . . . . . 298--318


Lecture Notes in Mathematics
Volume 1251, 1987

Oscar A. Sánchez-Valenzuela and   
               Shlomo Sternberg   The automorphism group of a Hermitian
                                  superalgebra . . . . . . . . . . . . . . 1--48
                 A. Crumeyrolle   Le principe de trialité, le principe
                                  d'intéraction et les alg\`ebres de Lie
                                  graduées orthosymplectiques. (French) []  49--64
             Marjorie Batchelor   Graded manifolds and pairs . . . . . . . 65--72
          Yvonne Choquet-Bruhat   Mathematics for classical supergravities 73--90
                     Ugo Bruzzo   Lagrangian gauge theories on
                                  supermanifolds . . . . . . . . . . . . . 91--113
   Antonio López Almorox   Supergauge theories in graded manifolds  114--136
Daniel Hernández Ruipérez and   
Jaime Muñoz Masqué   Variational Berezinian problems and
                                  their relationship with graded
                                  variational problems . . . . . . . . . . 137--149
                 Richard Kerner   Cosmology and Kaluza--Klein theories . . 150--174
                  Yuval Ne'eman   Strings: From hadron dual models to
                                  gravity, unification and the structure
                                  of space--time . . . . . . . . . . . . . 175--204
                       C. Duval   The Dirac & Levy--Leblond equations and
                                  geometric quantization . . . . . . . . . 205--221
             J. Dermott Mc Crea   Poincaré gauge theory of gravitation:
                                  Foundations, exact solutions and
                                  computer algebra . . . . . . . . . . . . 222--237
                  Marco Modugno   Systems of vector valued forms on a
                                  fibred manifold and applications to
                                  gauge theories . . . . . . . . . . . . . 238--264
         J. A. Pereira da Silva   Essential extensions of some infinite
                                  dimensional Lie algebras . . . . . . . . 265--283
            J. Gómez and   
                      F. Varela   Sur certaines expressions globales d'une
                                  forme volume. (French) []  . . . . . . . 284--300


Lecture Notes in Mathematics
Volume 1252, 1987

                   Tetsuo Kaise   Représentations de Weil de $ {\rm GL}_2
                                  $. (French) [] . . . . . . . . . . . . . 1--98
                   Tetsuo Kaise   Alg\`ebres de division et $ {\rm GL}_n
                                  $. (French) [] . . . . . . . . . . . . . 99--201


Lecture Notes in Mathematics
Volume 1253, 1987

            Jürgen Fischer   Introduction . . . . . . . . . . . . . . 1--13
            Jürgen Fischer   Basic facts  . . . . . . . . . . . . . . 14--39
            Jürgen Fischer   The trace of the iterated resolvent
                                  kernel . . . . . . . . . . . . . . . . . 40--112
            Jürgen Fischer   The entire function $ \Xi $ associated
                                  with the Selberg zeta-function . . . . . 113--161
            Jürgen Fischer   The general Selberg trace formula  . . . 162--175


Lecture Notes in Mathematics
Volume 1254, 1987

       I. Piatetski-Shapiro and   
                      S. Rallis   $L$-functions for the classical groups   1--52
                 S. Gelbart and   
           I. Piatetski-Shapiro   $L$-functions for $ G \times {\rm GL}
                                  (n)$ . . . . . . . . . . . . . . . . . . 53--136


Lecture Notes in Mathematics
Volume 1255, 1987

               Robert L. Bryant   Minimal Lagrangian submanifolds of
                                  Kähler--Einstein manifolds  . . . . . . . 1--12
                    Zhihua Chen   An estimate of the lower bound of Levi
                                  form and its applications  . . . . . . . 13--25
                     Chaohao Gu   A global study of extremal surfaces in
                                  $3$-dimensional Minkowski space  . . . . 26--33
                   Wu-Yi Hsiang   Lie transformation groups and
                                  differential geometry  . . . . . . . . . 34--52
                          Yi Hu   The imbedding problem of Riemannian
                                  globally symmetric spaces of the compact
                                  type . . . . . . . . . . . . . . . . . . 53--66
                Osamu Kobayashi   A Willmore type problem for $ S^2 \times
                                  S^2 $  . . . . . . . . . . . . . . . . . 67--72
                 Xiang-Ming Mei   The integral formula of Pontrjagin
                                  characteristic forms . . . . . . . . . . 73--79
               Yanglian Pan and   
                     Yibin Shen   Some stability results of harmonic map
                                  from a manifold with boundary  . . . . . 80--87
                   Chun-li Shen   $ C^k $-bound of curvatures in
                                  Yang--Mills theory . . . . . . . . . . . 88--95
               Toshikazu Sunada   Number theoretic analogues in spectral
                                  geometry . . . . . . . . . . . . . . . . 96--108
                Chang-Ping Wang   On the Gauss map of submanifold in $ R_n
                                  $ and $ S_n $  . . . . . . . . . . . . . 109--129
                     J. C. Wood   Twistor constructions for harmonic maps  130--159
                     Chuanxi Wu   On two classes of hypersurfaces in a
                                  space of constant curvature  . . . . . . 160--172
                    Wen-tsun Wu   A constructive theory of differential
                                  algebraic geometry based on works of J.
                                  F. Ritt with particular applications to
                                  mechanical theorem-proving of
                                  differential geometries  . . . . . . . . 173--189
                      C. Y. Xia   Remarks on the fundamental group of
                                  positively curved manifolds  . . . . . . 190--197
                      Y. L. Xin   Liouville type theorems and regularity
                                  of harmonic maps . . . . . . . . . . . . 198--208
                       Youyu Xu   On absence of static Yang--Mills fields
                                  with variant mass  . . . . . . . . . . . 209--220
                     Yan-lin Yu   On the infinitesimal parallel
                                  displacement . . . . . . . . . . . . . . 221--227
                 Yong Fan Zheng   Harmonic and Killing forms on complete
                                  Riemannian manifolds . . . . . . . . . . 228--243


Lecture Notes in Mathematics
Volume 1256, 1987

                  Michael Beals   Interaction of radially smooth nonlinear
                                  waves  . . . . . . . . . . . . . . . . . 1--27
               C. A. Berger and   
               L. A. Coburn and   
                      K. H. Zhu   Toeplitz operators and function theory
                                  in $n$-dimensions  . . . . . . . . . . . 28--35
                J. Brüning   Index theory for regular singular
                                  operators and applications . . . . . . . 36--54
               H. O. Cordes and   
                    S. H. Doong   The Laplace comparison algebra of spaces
                                  with conical and cylindrical ends  . . . 55--90
              Monique Dauge and   
                  Didier Robert   Weyl's formula for a class of
                                  pseudodifferential operators with
                                  negative order on $ L^2 (R^n) $  . . . . 91--122
                    A. K. Erkip   Normal solvability of boundary value
                                  problems in half space . . . . . . . . . 123--134
               Daisuke Fujiwara   A remark on Taniguchi--Kumanogo theorem
                                  for product of Fourier integral
                                  operators  . . . . . . . . . . . . . . . 135--153
                     Paul Godin   On the analytic regularity of weak
                                  solutions of analytic systems of
                                  conservation laws with analytic data . . 154--168
                     Gerd Grubb   Complex powers of pseudo-differential
                                  boundary value problems with the
                                  transmission property  . . . . . . . . . 169--191
               V. Guillemin and   
                       A. Uribe   Some spectral properties of periodic
                                  potentials . . . . . . . . . . . . . . . 192--213
            Lars Hörmander   The lifespan of classical solutions of
                                  non-linear hyperbolic equations  . . . . 214--280
                Chisato Iwasaki   Gevrey-hypoellipticity and
                                  pseudo-differential operators on Gevrey
                                  class  . . . . . . . . . . . . . . . . . 281--293
                  Pascal Laubin   Propagation of the second analytic wave
                                  front set along diffractive rays . . . . 294--311
                     Otto Liess   Boundary regularity for one-sided
                                  solutions of linear partial differential
                                  equations with analytic coefficients . . 312--329
              Tosinobu Muramatu   Estimates for the norm of
                                  pseudo-differential operators by means
                                  of Besov spaces  . . . . . . . . . . . . 330--349
                      M. Nagase   On sufficient conditions for
                                  pseudo-differential operators to be $
                                  L^p $-bounded  . . . . . . . . . . . . . 350--359
                  Elmar Schrohe   Spaces of weighted symbols and weighted
                                  Sobolev spaces on manifolds  . . . . . . 360--377
                  B.-W. Schulze   Mellin expansions of pseudo-differential
                                  operators and conormal asymptotics of
                                  solutions  . . . . . . . . . . . . . . . 378--401
        Johannes Sjöstrand   Semiclassical resonances generated by
                                  non-degenerate critical points . . . . . 402--429
             John Sylvester and   
                Gunther Uhlmann   Remarks on an inverse boundary value
                                  problem  . . . . . . . . . . . . . . . . 430--441


Lecture Notes in Mathematics
Volume 1257, 1987

                    Xiaolu Wang   Introduction . . . . . . . . . . . . . . 1--9
                    Xiaolu Wang   Foliations of the plane  . . . . . . . . 10--34
                    Xiaolu Wang   Various trees and graphs . . . . . . . . 35--52
                    Xiaolu Wang   Distinguished trees  . . . . . . . . . . 53--110
                    Xiaolu Wang   The $ C* $-algebras of foliations of the
                                  plane  . . . . . . . . . . . . . . . . . 111--158


Lecture Notes in Mathematics
Volume 1258, 1987

               Joachim Weidmann   Introduction . . . . . . . . . . . . . . 1--6
               Joachim Weidmann   Formally self-adjoint differential
                                  expressions  . . . . . . . . . . . . . . 7--15
               Joachim Weidmann   Appendix to section 1: The separation of
                                  the Dirac operator . . . . . . . . . . . 16--22
               Joachim Weidmann   Fundamental properties and general
                                  assumptions  . . . . . . . . . . . . . . 23--35
               Joachim Weidmann   Appendix to section 2: Proof of the
                                  Lagrange identity for $ n > 2 $ . . . . . 35--40
               Joachim Weidmann   The minimal operator and the maximal
                                  operator . . . . . . . . . . . . . . . . 41--51
               Joachim Weidmann   Deficiency indices and self-adjoint
                                  extensions of $ T_0 $  . . . . . . . . . 52--71
               Joachim Weidmann   The solutions of the inhomogeneous
                                  differential equation $ (\tau - \lambda)
                                  u = f $; Weyl's alternative  . . . . . . 72--87
               Joachim Weidmann   Limit point-limit circle criteria  . . . 88--103
               Joachim Weidmann   Appendix to section 6: Semi-boundedness
                                  of Sturm--Liouville type operators . . . 104--109
               Joachim Weidmann   The resolvents of self-adjoint
                                  extensions of $ T_0 $  . . . . . . . . . 110--125
               Joachim Weidmann   The spectral representation of
                                  self-adjoint extensions of $ T_0 $ . . . 126--139
               Joachim Weidmann   Computation of the spectral matrix $
                                  \varrho $  . . . . . . . . . . . . . . . 140--149
               Joachim Weidmann   Special properties of the spectral
                                  representation, spectral multiplicities  150--161
               Joachim Weidmann   $ L_2 $-solutions and essential spectrum 162--171
               Joachim Weidmann   Differential operators with periodic
                                  coefficients . . . . . . . . . . . . . . 172--190
               Joachim Weidmann   Appendix to section 12: Operators with
                                  periodic coefficients on the half-line   191--193
               Joachim Weidmann   Oscillation theory for regular
                                  Sturm--Liouville operators . . . . . . . 194--212
               Joachim Weidmann   Oscillation theory for singular
                                  Sturm--Liouville operators . . . . . . . 213--226
               Joachim Weidmann   Essential spectrum and absolutely
                                  continuous spectrum of Sturm--Liouville
                                  operators  . . . . . . . . . . . . . . . 227--241


Lecture Notes in Mathematics
Volume 1259, 1987

             Felipe Cano Torres   Resolution statements for a vector field 1--34
             Felipe Cano Torres   A partial winning strategy . . . . . . . 35--78
             Felipe Cano Torres   Standard transitions from type I . . . . 79--115
             Felipe Cano Torres   A winning strategy for type one  . . . . 116--171
             Felipe Cano Torres   Types two and three  . . . . . . . . . . 172--185


Lecture Notes in Mathematics
Volume 1260, 1987

               Nicolae H. Pavel   Nonlinear evolution operators  . . . . . 1--60
               Nicolae H. Pavel   Nonlinear semigroups . . . . . . . . . . 61--151
               Nicolae H. Pavel   Applications to partial differential
                                  equations  . . . . . . . . . . . . . . . 152--233


Lecture Notes in Mathematics
Volume 1261, 1987

                  Herbert Abels   Introduction . . . . . . . . . . . . . . 1--14
                  Herbert Abels   Compact presentability and contracting
                                  automorphisms  . . . . . . . . . . . . . 15--26
                  Herbert Abels   Filtrations of Lie algebras and groups   27--48
                  Herbert Abels   A necessary condition for compact
                                  presentability . . . . . . . . . . . . . 49--60
                  Herbert Abels   Implications of the necessary condition  61--89
                  Herbert Abels   The second homology  . . . . . . . . . . 90--122
                  Herbert Abels   $S$-arithmetic groups  . . . . . . . . . 123--145
                  Herbert Abels   $S$-arithmetic solvable groups . . . . . 146--168


Lecture Notes in Mathematics
Volume 1262, 1987

                       G. Baron   Ein Lineares Programm in der
                                  Zahlentheorie. (German) [A linear
                                  program in number theory]  . . . . . . . 1--13
         M. Blümlinger and   
                  M. Drmota and   
                    R. F. Tichy   Metrische Sätze der $C$-Gleichverteilung
                                  auf der Sphäre. (German) [] . . . . . . . 14--21
                      M. Drmota   Gleichmässig Gleichverteilte Und Schwach
                                  Gleichmässig Gleichverteilte Funktionen
                                  Modulo $1$. (German) []  . . . . . . . . 22--36
               Martin Goldstern   Eine Klasse Vollständig Gleichverteilter
                                  Folgen. (German) []  . . . . . . . . . . 37--45
               Martin Goldstern   Vollständige Gleichverteilung in
                                  Diskreten Räumen. (German) [] . . . . . . 46--49
                  Edmund Hlawka   Über Die Direkten Methoden der
                                  Variationsrechnung Und Gleichverteilung.
                                  (German) []  . . . . . . . . . . . . . . 50--85
            Peter Kirschenhofer   Asymptotische Untersuchungen zur
                                  Durchschnittlichen Gestalt Gewisser
                                  Graphenklassen II. (German) [] . . . . . 86--92
           P. Kirschenhofer and   
                   H. Prodinger   Asymptotische Untersuchungen ober
                                  Charakteristische Parameter von
                                  Suchb\uaumen (German) [] . . . . . . . . 93--107
        Peter Kirschenhofer and   
           Helmut Prodinger and   
   Johannes Schoißengeier   Zur Auswertung Gewisser Numerischer
                                  Reihen mit Hilfe Modularer Funktionen.
                                  (German) []  . . . . . . . . . . . . . . 108--110
        Peter Kirschenhofer and   
           Helmut Prodinger and   
                Robert F. Tichy   Über Einige
                                  Funktionaldifferentialgleichungen Aus
                                  der Analyse Von Algorithmen. (German) [] 111--123
               Helmut Prodinger   Über Längste $1$-Teilfolgen In
                                  $0$--$1$-Folgen. (German) [On the
                                  longest $1$-part sequence in
                                  $0$--$1$-sequences]  . . . . . . . . . . 124--133
   Johannes Schoißengeier   Eine Explizite Formel für $ \sum
                                  \limits_{n \leq N B_2 (\{ n \alpha \})}
                                  $. (German) [] . . . . . . . . . . . . . 134--138
                Robert F. Tichy   Einige Bemerkungen über Stetige
                                  Funktionen auf Topologischen Gruppen.
                                  (German) []  . . . . . . . . . . . . . . 139--143
               Gerhard Turnwald   Einige Bemerkungen zur Diskreten
                                  Gleichverteilung. (German) []  . . . . . 144--149
                     Fritz Vogl   Über Das Cauchysche Anfangswertproblem für
                                  Eine Klasse Linearer Partieller
                                  Funktional-Differentialgleichungen.
                                  (German) []  . . . . . . . . . . . . . . 150--158


Lecture Notes in Mathematics
Volume 1263, 1987

                    Peter Braam   Quantum field theory: the bridge between
                                  mathematics and the physical world . . . 1--12
        Jean-Pierre Bourguignon   Yang--Mills theory: The differential
                                  geometric side . . . . . . . . . . . . . 13--54
            Francis E. Burstall   Twistor methods for harmonic maps  . . . 55--96
                  John Rawnsley   Twistor methods  . . . . . . . . . . . . 97--133
                Jerry L. Kazdan   Partial differential equations in
                                  differential geometry  . . . . . . . . . 134--170
                  Karsten Grove   Metric differential geometri . . . . . . 171--227
               Robert E. Greene   Complex differential geometry  . . . . . 228--288


Lecture Notes in Mathematics
Volume 1264, 1987

               Wu Wen-tsün   Fundamental concepts. Measure and
                                  calculability  . . . . . . . . . . . . . 1--19
               Wu Wen-tsün   Dga and minimal model  . . . . . . . . . 20--57
               Wu Wen-tsün   The de Rham--Sullivan theorem and $ I*
                                  $-measure  . . . . . . . . . . . . . . . 58--92
               Wu Wen-tsün   $ I* $-measure and homotopy  . . . . . . 93--115
               Wen-tsün Wu   I*-measure of a homogeneous space ---
                                  The Cartan theorem . . . . . . . . . . . 116--142
               Wu Wen-tsün   Effective computation and axiomatic
                                  system of $ I* $-measure . . . . . . . . 143--177
               Wu Wen-tsün   I*-measures connected with fibrations    178--213


Lecture Notes in Mathematics
Volume 1265, 1987

              Walter Van Assche   Introduction . . . . . . . . . . . . . . 1--13
              Walter Van Assche   Orthogonal polynomials on a compact set  14--42
              Walter Van Assche   Asymptotically periodic recurrence
                                  coefficients . . . . . . . . . . . . . . 43--86
              Walter Van Assche   Probabilistic proofs of asymptotic
                                  formulas . . . . . . . . . . . . . . . . 87--104
              Walter Van Assche   Orthogonal polynomials on unbounded sets 105--137
              Walter Van Assche   Zero distribution and consequences . . . 138--163
              Walter Van Assche   Some applications  . . . . . . . . . . . 164--174


Lecture Notes in Mathematics
Volume 1266, 1987

            Edoardo Ballico and   
                 Philippe Ellia   Beyond the maximal rank conjecture for
                                  curves in $ {\rm IP}^3 $ . . . . . . . . 1--23
                 Ciro Ciliberto   Hilbert functions of finite sets of
                                  points and the genus of a curve in a
                                  projective space . . . . . . . . . . . . 24--73
                  Ph. Ellia and   
                        I. Sols   On the cohomology of projective curves   74--83
            Geir Ellingsrud and   
                Ragni Piene and   
     Stein Arild Stròmme   On the variety of nets of quadrics
                                  defining twisted cubics  . . . . . . . . 84--96
              Franco Ghione and   
               Gianni Sacchiero   Genre d'une courbe lisse tracée sur une
                                  variété réglée. (French) []  . . . . . . . . 97--107
             Laurent Gruson and   
              Christian Peskine   Space curves: Complete series and
                                  speciality . . . . . . . . . . . . . . . 108--123
       André Hirschowitz   Sections planes et multisécantes pour les
                                  courbes gauches génériques principales.
                                  (French) []  . . . . . . . . . . . . . . 124--155
                 S. Kleiman and   
       S. A. Stròmme and   
                S. Xambó   Sketch of a verification of Schubert's
                                  number $ 5819539783680 $ of twisted
                                  cubics . . . . . . . . . . . . . . . . . 156--180
                  Jan O. Kleppe   Non-reduced components of the Hilbert
                                  scheme of smooth space curves  . . . . . 181--207
               A. Prabhakar Rao   A family of vector bundles on $ \mathbb
                                  {P}^3 $  . . . . . . . . . . . . . . . . 208--231
                       A. Simis   Multiplicities and Betti numbers of
                                  homogeneous ideals . . . . . . . . . . . 232--250
     Stein Arild Stròmme   On parametrized rational curves in
                                  Grassmann varieties  . . . . . . . . . . 251--272


Lecture Notes in Mathematics
Volume 1267, 1987

                      M. Gromov   Monotonicity of the volume of
                                  intersection of balls  . . . . . . . . . 1--4
                    J. Bourgain   On lattice packing of convex symmetric
                                  sets in $ \mathfrak {R}^n $  . . . . . . 5--12
                   V. D. Milman   Diameter of a minimal invariant subset
                                  of equivariant Lipschitz actions on
                                  compact subsets of $ \mathbb {R}^k $ . . 13--20
        Joram Lindenstrauss and   
             Andrzej Szankowski   The relation between the distance and
                                  the weak distance for spaces with a
                                  symmetric basis  . . . . . . . . . . . . 21--38
                J. Bourgain and   
                    L. Tzafriri   Complements of subspaces of $ \ell_p^n
                                  $; $ p \geq 1 $ which are uniquely
                                  determined . . . . . . . . . . . . . . . 39--52
              Gideon Schechtman   Embedding $ X_p^m $ spaces into $
                                  \ell_r^n $ . . . . . . . . . . . . . . . 53--74
                   V. D. Milman   Some remarks on Urysohn's inequality and
                                  volume ratio of cotype $2$-spaces  . . . 75--81
         Hermann König and   
               Vitali D. Milman   On the covering numbers of convex bodies 82--95
               W. Schachermayer   On a theorem of J. Bourgain on finite
                                  dimensional decompositions and the
                                  Radon--Nikodym property  . . . . . . . . 96--112
               V. D. Milman and   
          N. Tomczak-Jaegermann   Sudakov type inequalities for convex
                                  bodies in $ {\rm IR}^n $ . . . . . . . . 113--121
                 Jonathan Arazy   An application of infinite dimensional
                                  holomorphy to the geometry of Banach
                                  spaces . . . . . . . . . . . . . . . . . 122--150
                    J. Bourgain   A density condition for analyticity of
                                  the restriction algebra  . . . . . . . . 151--156
                    J. Bourgain   Remarks on the extension of Lipschitz
                                  maps defined on discrete sets and
                                  uniform homeomorphisms . . . . . . . . . 157--167
                    J. Bourgain   On dimension free maximal inequalities
                                  for convex symmetric bodies in $
                                  \mathfrak {R}^n $  . . . . . . . . . . . 168--176
         William B. Johnson and   
        Joram Lindenstrauss and   
              Gideon Schechtman   On Lipschitz embedding of finite metric
                                  spaces in low dimensional normed spaces  177--184
              Gilles Pisier and   
                     Quanhua Xu   Random series in the real interpolation
                                  spaces between the spaces $ v_p $  . . . 185--209
                     Quanhua Xu   Cotype of the spaces $ (A_0,
                                  A_1)_{\theta 1} $  . . . . . . . . . . . 210--212


Lecture Notes in Mathematics
Volume 1268, 1987

               Steven G. Krantz   Recent progress and future directions in
                                  several complex variables  . . . . . . . 1--23
               David E. Barrett   Boundary singularities of biholomorphic
                                  maps . . . . . . . . . . . . . . . . . . 24--28
                        S. Bell   Compactness of families of holomorphic
                                  mappings up to the boundary  . . . . . . 29--42
                    J. S. Bland   The imbedding problem for open complex
                                  manifolds  . . . . . . . . . . . . . . . 43--59
                   J. Bland and   
                 T. Duchamp and   
                       M. Kalka   A characterization of $ {\rm CP}^n $ by
                                  its automorphism group . . . . . . . . . 60--65
             Joseph A. Cima and   
                  Ted Suffridge   Proper mappings between balls in $ C^n $ 66--82
               John P. D'Angelo   Finite-type conditions for real
                                  hypersurfaces in $ \mathbb {C}^n $ . . . 83--102
               John P. D'Angelo   Iterated commutators and derivatives of
                                  the Levi form  . . . . . . . . . . . . . 103--110
    John Erik Fornæss and   
                  Nessim Sibony   Plurisubharmonic functions on ring
                                  domains  . . . . . . . . . . . . . . . . 111--120
           Robert E. Greene and   
               Steven G. Krantz   Characterizations of certain weakly
                                  pseudoconvex domains with non-compact
                                  automorphism groups  . . . . . . . . . . 121--157
                   Rita Saerens   Interpolation theory in $ C^n $: a
                                  survey . . . . . . . . . . . . . . . . . 158--188
         Berit Stensònes   Extendability of holomorphic functions   189--195


Lecture Notes in Mathematics
Volume 1269, 1987

                Masahiro Shiota   Introduction . . . . . . . . . . . . . . 1--5
                Masahiro Shiota   Preliminaries  . . . . . . . . . . . . . 6--78
                Masahiro Shiota   Approximation theorem  . . . . . . . . . 79--141
                Masahiro Shiota   Affine $ C^r $ Nash manifolds  . . . . . 142--154
                Masahiro Shiota   Nonaffine $ C^\omega $ Nash manifolds    155--174
                Masahiro Shiota   $ C^0 $ Nash manifolds . . . . . . . . . 175--188
                Masahiro Shiota   Affine $ C^\omega $ Nash manifolds . . . 189--215


Lecture Notes in Mathematics
Volume 1270, 1987

               A. Bourgeade and   
                P. Le Floch and   
                  P.-A. Raviart   Approximate solution of the generalized
                                  Riemann problem and applications . . . . 1--9
            Björn Engquist   Computation of oscillatory solutions to
                                  partial differential equations . . . . . 10--22
                     Ami Harten   Preliminary results on the extension of
                                  Eno schemes to two-dimensional problems  23--40
                      P. L. Roe   Upwind differencing schemes for
                                  hyperbolic conservation laws with source
                                  terms  . . . . . . . . . . . . . . . . . 41--51
                   Eitan Tadmor   The entropy dissipation by numerical
                                  viscosity in nonlinear conservative
                                  difference schemes . . . . . . . . . . . 52--63
                  V. Billey and   
          J. Périaux and   
                 P. Perrier and   
                   B. Stoufflet   $2$-D and $3$-D Euler computations with
                                  finite element methods in aerodynamics   64--81
       Jean-Jacques Chattot and   
                   Sylvie Malet   A ``box-scheme'' for the Euler equations 82--102
            J.-F. Colombeau and   
                  A. Y. Le Roux   Numerical techniques in elastoplasticity 103--114
              Virginie Daru and   
                    Alain Lerat   An implicit centered scheme which gives
                                  non-oscillatory steady shocks  . . . . . 115--127
                   Y. I. Shokin   A computer-aided system for
                                  investigation and construction of
                                  difference schemes of gas dynamics . . . 128--134
                 S. K. Godounov   Lois de conservation et intégrales
                                  d'énergie des équations hyperboliques.
                                  (French) []  . . . . . . . . . . . . . . 135--149
                   Peter D. Lax   On symmetrizing hyperbolic differential
                                  equations  . . . . . . . . . . . . . . . 150--151
            Barbara Lee Keyfitz   A survey of nonstrictly hyperbolic
                                  conservation laws  . . . . . . . . . . . 152--162
                     M. Slemrod   Admissibility criteria for phase
                                  boundaries . . . . . . . . . . . . . . . 163--171
                David H. Wagner   The transformation from Eulerian to
                                  Lagrangian coordinates for solutions
                                  with discontinuities . . . . . . . . . . 172--180
                     David Hoff   Two existence theorems for systems of
                                  conservation laws with dissipation . . . 181--194
                Ta-tsien Li and   
                     Da-qian Li   Global solutions to some free boundary
                                  problems for quasilinear hyperbolic
                                  systems and applications . . . . . . . . 195--209
                  Michel Rascle   Un théor\`eme d'existence globale en
                                  élasticité non linéaire
                                  mono-dimensionnelle. (French) [] . . . . 210--220
                   Jinghua Wang   A nonhomogeneous system of equations of
                                  nonisentropic gas dynamics . . . . . . . 221--237
          Bertil Gustafsson and   
                      Lars Ferm   Far field boundary conditions for steady
                                  state solutions to hyperbolic systems    238--252


Lecture Notes in Mathematics
Volume 1271, 1987

                   Armand Borel   A vanishing theorem in relative Lie
                                  algebra cohomology . . . . . . . . . . . 1--16
                   Walter Borho   Nilpotent orbits, primitive ideals, and
                                  characteristic classes . . . . . . . . . 17--32
             Jean-Luc Brylinski   Some examples of Hochschild and cyclic
                                  homology . . . . . . . . . . . . . . . . 33--72
                 M. Goresky and   
                  R. MacPherson   On the topology of algebraic torus
                                  actions  . . . . . . . . . . . . . . . . 73--90
                  J. C. Jantzen   Restricted Lie algebra cohomology  . . . 91--108
              Victor G. Kac and   
               Dale H. Peterson   On geometric invariant theory for
                                  infinite-dimensional groups  . . . . . . 109--142
            Lieven Le Bruyn and   
                Claudio Procesi   Etale local structure of matrix
                                  invariants and concomitants  . . . . . . 143--175
                 George Lusztig   Fourier transforms on a semisimple Lie
                                  algebra over $ F_q $ . . . . . . . . . . 177--188
                I. G. Macdonald   Commuting differential operators and
                                  zonal spherical functions  . . . . . . . 189--200
               G. D. Mostow and   
              Stephen S.-T. Yau   Some surfaces covered by the ball and a
                                  problem in finite groups . . . . . . . . 201--228
           I. Piatetski-Shapiro   Invariant theory and Kloosterman sums    229--236
                    V. L. Popov   On actions of $ \mathbb {G}_a $ on $
                                  \mathbb {A}^n $  . . . . . . . . . . . . 237--242
               R. W. Richardson   Normality of $G$-stable subvarieties of
                                  a semisimple Lie algebra . . . . . . . . 243--264
                   Jacques Tits   Unipotent elements and parabolic
                                  subgroups of reductive groups. II  . . . 265--284


Lecture Notes in Mathematics
Volume 1272, 1987

              Moshe S. Liv\vsic   Commuting nonselfadjoint operators and
                                  collective motions of systems  . . . . . 1--38
                 Leonid Waksman   Harmonic analysis of multi-parameter
                                  semigroups of contractions . . . . . . . 39--114


Lecture Notes in Mathematics
Volume 1273, 1987

               M. S. Narasimhan   Survey of vector bundles on curves . . . 1--8
            Frank-Olaf Schreyer   Finite and countable CM-representation
                                  type . . . . . . . . . . . . . . . . . . 9--34
                    Idun Reiten   Finite dimensional algebras and
                                  singularities  . . . . . . . . . . . . . 35--57
      Ragnar-Olaf Buchweitz and   
             David Eisenbud and   
             Jürgen Herzog   Cohen--Macaulay modules on quadrics  . . 58--116
      Jan Arthur Christophersen   Monomial curves and obstructions on
                                  cyclic quotient singularities  . . . . . 117--133
         Jürgen Herzog and   
                Herbert Sanders   The Grothendieck group of invariant
                                  rings and of simple hypersurface
                                  singularities  . . . . . . . . . . . . . 134--149
             Horst Knörrer   Torsionsfreie Moduln bei Deformation von
                                  Kurvensingularitäten. (German) [] . . . . 150--155
                     C. J. Rego   Deformation of modules on curves and
                                  surfaces . . . . . . . . . . . . . . . . 157--167
               Albert Schappert   A characterisation of strictly
                                  unimodular plane curve singularities . . 168--177
          Joseph Steenbrink and   
                  Steven Zucker   Polar curves, resolution of
                                  singularities and the filtered mixed
                                  Hodge structure on the vanishing
                                  cohomology . . . . . . . . . . . . . . . 178--202
                 D. van Straten   On the Betti numbers of the Milnor fibre
                                  of a certain class of hypersurface
                                  singularities  . . . . . . . . . . . . . 203--220
                      J. Wunram   Reflexive modules on cyclic quotient
                                  surface singularities  . . . . . . . . . 221--231
          Maurice Auslander and   
                    Idun Reiten   Almost split sequences for $ \mathbb {Z}
                                  $-graded rings . . . . . . . . . . . . . 232--243
                Ernst Dieterich   The Auslander--Reiten quiver of an
                                  isolated singularity . . . . . . . . . . 244--264
              Werner Geigle and   
                 Helmut Lenzing   A class of weighted projective curves
                                  arising in representation theory of
                                  finite dimensional algebras  . . . . . . 265--297
                  Dieter Happel   Repetitive categories  . . . . . . . . . 298--317
               K. W. Roggenkamp   Almost split sequences for some
                                  non-classical lattice categories . . . . 318--324
             W. Böhmer and   
                   G. Trautmann   Special instanton bundles and Poncelet
                                  curves . . . . . . . . . . . . . . . . . 325--336
               Jean-Marc Drezet   Groupe de Picard des variétés de modules
                                  de faisceaux semi-stables sur $ \mathbb
                                  {P}_2 $. (French) [] . . . . . . . . . . 337--362
              G. Ellingsrud and   
           S. A. Stròmme   On the rationality of the moduli space
                                  for stable rank-$2$ vector bundles on $
                                  P^2$ . . . . . . . . . . . . . . . . . . 363--371


Lecture Notes in Mathematics
Volume 1274, 1987

        N. Christopher Phillips   Introduction: The commutative case . . . 1--11
        N. Christopher Phillips   Equivariant $K$-theory of C *-algebras   12--67
        N. Christopher Phillips   Introduction to equivariant $ K K
                                  $-theory . . . . . . . . . . . . . . . . 68--130
        N. Christopher Phillips   Basic properties of $K$-freeness . . . . 131--166
        N. Christopher Phillips   Subgroups  . . . . . . . . . . . . . . . 167--188
        N. Christopher Phillips   Tensor products  . . . . . . . . . . . . 189--235
        N. Christopher Phillips   $K$-freeness, saturation, and the strong
                                  Connes spectrum  . . . . . . . . . . . . 236--274
        N. Christopher Phillips   Type I algebras  . . . . . . . . . . . . 275--285
        N. Christopher Phillips   AF algebras  . . . . . . . . . . . . . . 286--328


Lecture Notes in Mathematics
Volume 1275, 1987

                   Dov Aharonov   Bazilevi\vc theorem and the growth of
                                  univalent functions  . . . . . . . . . . 1--9
                   J. Arazy and   
                  S. Fisher and   
                      J. Peetre   Möbius invariant spaces of analytic
                                  functions  . . . . . . . . . . . . . . . 10--22
           Albert Baernstein II   Dubinin's symmetrization theorem . . . . 23--30
               James E. Brennan   Functions with rapidly decreasing
                                  negative Fourier coefficients  . . . . . 31--43
                 Chi-tai Chuang   On the theory and applications of $ Q_m
                                  $-normal families of meromorphic
                                  functions  . . . . . . . . . . . . . . . 44--77
   Professor Joseph A. Cima and   
  Professor Thomas H. MacGregor   Cauchy Transforms of measures and
                                  univalent functions  . . . . . . . . . . 78--88
             Matts Essén   Harmonic majorization, harmonic measure
                                  and minimal thinness . . . . . . . . . . 89--112
                   H. M. Farkas   Unramified coverings of hyperelliptic
                                  Riemann surfaces . . . . . . . . . . . . 113--130
             Carl H. FitzGerald   Arcs on which a univalent function has
                                  small magnitude  . . . . . . . . . . . . 131--148
               Paul M. Gauthier   Uniform and better-than-uniform elliptic
                                  approximations on unbounded sets . . . . 149--157
              F. W. Gehring and   
                   G. J. Martin   Discrete convergence groups  . . . . . . 158--167
               F. Haslinger and   
                     M. Smejkal   Representation and duality in weighted
                                  Fréchet spaces of entire functions  . . . 168--196
              Simon Hellerstein   Real zeros of derivatives of meromorphic
                                  functions and solutions of differential
                                  equations --- a survey with problems and
                                  conjectures  . . . . . . . . . . . . . . 197--209
               James A. Jenkins   Some estimates for harmonic measures . . 210--214
                 Robert Kaufman   Hausdorff measures and removable sets    215--222
                  John L. Lewis   Approximations of Sobolev functions and
                                  related topics . . . . . . . . . . . . . 223--234
                    David Minda   Inequalities for the hyperbolic metric
                                  and applications to geometric function
                                  theory . . . . . . . . . . . . . . . . . 235--252
                   P. J. Rippon   Subharmonic functions with unilateral
                                  growth conditions  . . . . . . . . . . . 253--265
               Glenn E. Schober   Kirwan's conjecture  . . . . . . . . . . 266--271
                A. A. Shaginyan   On potential approximation of vector
                                  fields . . . . . . . . . . . . . . . . . 272--279


Lecture Notes in Mathematics
Volume 1276, 1987

                   H. Alexander   Polynomial hulls and linear measure  . . 1--11
               Éric Amar   Estimations, par Noyaux, des Solutions
                                  de l'Équation $ \bar \partial u = f $.
                                  (French) []  . . . . . . . . . . . . . . 12--24
              Richard Beals and   
               Nancy K. Stanton   The heat equation and geometry for the $
                                  \bar \partial $-Neumann problem  . . . . 25--32
                        S. Bell   Extendibility of the Bergman kernel
                                  function . . . . . . . . . . . . . . . . 33--41
                  Bo Berndtsson   $ \partial_b $ and Carleson type
                                  inequalities . . . . . . . . . . . . . . 42--54
                  Joaquim Bruna   Boundary absolute continuity of
                                  functions in the ball algebra  . . . . . 55--59
                  Urban Cegrell   Subharmonic functions and minimal
                                  surfaces . . . . . . . . . . . . . . . . 60--66
             Anne-Marie Chollet   Propriétés de Recouvrement des
                                  Sous-Ensembles de la Fronti\`ere d'un
                                  Domaine Strictement Pseudo-Convexe.
                                  (French) []  . . . . . . . . . . . . . . 67--78
                        S. Coen   Some properties of the canonical mapping
                                  of a complex space into its spectrum . . 79--107
                C. Robin Graham   Scalar boundary invariants and the
                                  Bergman kernel . . . . . . . . . . . . . 108--135
           Robert E. Greene and   
               Steven G. Krantz   Biholomorphic self-maps of domains . . . 136--207
                    J. Korevaar   Some $ \mathbb {C}^N $ capacities and
                                  applications . . . . . . . . . . . . . . 208--228
             Reinhold Meise and   
             Siegfried Momm and   
                 B. Alan Taylor   Splitting of slowly decreasing ideals in
                                  weighted algebras of entire functions    229--252
                   A. Meril and   
                  D. C. Struppa   Convolutors in spaces of holomorphic
                                  functions  . . . . . . . . . . . . . . . 253--275
       Carlos A. Berenstein and   
             Daniele C. Struppa   A remark on ``Convolutors in spaces of
                                  holomorphic functions''  . . . . . . . . 276--280
               R. Michael Range   Integral representations in the theory
                                  of the $ \bar \partial $-Neumann problem 281--290
               Pascal J. Thomas   Tents and interpolating sequences in the
                                  unit ball  . . . . . . . . . . . . . . . 291--302
                    John Wermer   Balayage and polynomial hulls  . . . . . 303--312
                  J. Wiegerinck   Convergence of formal power series and
                                  analytic extension . . . . . . . . . . . 313--320


Lecture Notes in Mathematics
Volume 1277, 1987

                      D. Drasin   Some recent successes in
                                  value-distribution theory  . . . . . . . 1--14
                Roman Dwilewicz   Bergman--Szeg\Ho type theory for CR
                                  structures . . . . . . . . . . . . . . . 15--34
               Graziano Gentili   Regular complex geodesics for the domain
                                  $ D_n = ((z_1, \ldots {}, z_n) \in
                                  \mathbb {C}^n \colon |z_1 | + \ldots {}
                                  + |z_n| < 1) $  . . . . . . . . . . . . . 35--45
              David Jerison and   
   Antonio Sánchez-Calle   Subelliptic, second order differential
                                  operators  . . . . . . . . . . . . . . . 46--77
            Karl Oeljeklaus and   
            Wolfgang Richthofer   Recent results on homogeneous complex
                                  manifolds  . . . . . . . . . . . . . . . 78--119
                   Yum-Tong Siu   Kähler--Einstein metrics for the case of
                                  positive first Chern class . . . . . . . 120--130
                  Wilhelm Stoll   Algebroid reduction of Nevanlinna theory 131--241
                  Toma V. Tonev   An infinite-dimensional generalization
                                  of the Shilov boundary and infinite
                                  dimensional analytic structures in the
                                  spectrum of a uniform algebra  . . . . . 242--255
                    T. V. Tonev   New relations between Sibony--Basener
                                  boundaries . . . . . . . . . . . . . . . 256--262
                Marvin Tretkoff   Picard--Fuchs differential equations for
                                  the quadratic periods of Abelian
                                  integrals of the first kind  . . . . . . 263--289
              Edoardo Vesentini   Holomorphic families of holomorphic
                                  isometries . . . . . . . . . . . . . . . 290--302
                  Pit-Mann Wong   Complex Monge--Amp\`ere equation and
                                  related problems . . . . . . . . . . . . 303--330
                          H. Wu   Liouville theorems . . . . . . . . . . . 331--349
              Carlos Berenstein   A final word . . . . . . . . . . . . . . 350--350


Lecture Notes in Mathematics
Volume 1278, 1987

              Klaus Pommerening   Invariants of unipotent groups . . . . . 8--17
                Edward Formanek   The invariants of $ n \times n $
                                  matrices . . . . . . . . . . . . . . . . 18--43
                  Alain Lascoux   Forme canonique d'une forme binaire.
                                  (French) []  . . . . . . . . . . . . . . 44--51
              Joseph P. S. Kung   Canonical forms for binary forms of even
                                  degree . . . . . . . . . . . . . . . . . 52--61
                 Peter J. Olver   Invariant theory and differential
                                  equations  . . . . . . . . . . . . . . . 62--80
                George R. Kempf   Computing invariants . . . . . . . . . . 81--94
             Frank D. Grosshans   Constructing invariant polynomials via
                                  Tschirnhaus transformations  . . . . . . 95--102


Lecture Notes in Mathematics
Volume 1279, 1987

                  Dorin Ie\csan   The relaxed Saint-Venant problem . . . . 1--30
                  Dorin Ie\csan   Theory of loaded cylinders: The problems
                                  of Almansi and Michell . . . . . . . . . 31--43
                  Dorin Ie\csan   Anisotropic materials  . . . . . . . . . 44--67
                  Dorin Ie\csan   Heterogeneous media  . . . . . . . . . . 68--94
                  Dorin Ie\csan   Saint-Venant's problem for Cosserat
                                  elastic bodies . . . . . . . . . . . . . 95--147


Lecture Notes in Mathematics
Volume 1280, 1987

                   Erhard Neher   Special families of compatible
                                  tripotents . . . . . . . . . . . . . . . 1--58
                   Erhard Neher   Classification of grids  . . . . . . . . 59--106
                   Erhard Neher   Coordinatization theorems  . . . . . . . 107--135
                   Erhard Neher   Classifications  . . . . . . . . . . . . 136--183


Lecture Notes in Mathematics
Volume 1281, 1987

                 Marco Barlotti   Faithful simple modules for the
                                  non-Abelian group of order $ p q $ . . . 1--8
                 A. Caranti and   
               S. Franciosi and   
                 F. de Giovanni   Some examples of infinite groups in
                                  which each element commutes with its
                                  endomorphic images . . . . . . . . . . . 9--17
                   A. Giambruno   Polynomial identities with involution
                                  and the hyperoctahedral group  . . . . . 18--25
                 Fletcher Gross   Automorphisms of induced extensions  . . 26--30
                C. K. Gupta and   
                N. D. Gupta and   
                       F. Levin   On dimension subgroups relative to
                                  certain product ideals . . . . . . . . . 31--35
                     B. Hartley   Centralizers in locally finite groups    36--51
                  Trevor Hawkes   Subgroup embedding properties  . . . . . 52--64
               Hermann Heineken   Soluble irreducible groups of
                                  automorphisms of certain groups of class
                                  two  . . . . . . . . . . . . . . . . . . 65--72
                   Hartmut Laue   On automorphism groups which normalize
                                  an Abelian normal subgroup . . . . . . . 73--84
               Felix Leinen and   
            Richard E. Phillips   Algebraically closed groups in locally
                                  finite group classes . . . . . . . . . . 85--102
                 John C. Lennox   Soluble groups with nilpotent-extensible
                                  subgroups  . . . . . . . . . . . . . . . 103--106
        Patrizia Longobardi and   
                    Mercede Maj   On the nilpotence of groups with a
                                  certain lattice of normal subgroups  . . 107--114
             Walter Möhres   Torsion-free nilpotent groups with
                                  bounded ranks of the Abelian subgroups   115--117
               Giuseppe Pirillo   On permutation properties for semigroups 118--119
           Derek J. S. Robinson   Vanishing theorems for cohomology of
                                  locally nilpotent groups . . . . . . . . 120--129
                 Roland Schmidt   Untergruppenverbände endlicher auflösbarer
                                  Gruppen. (German) [] . . . . . . . . . . 130--150
           Carlo Maria Scoppola   An example of a nonabelian
                                  Frobenius--Wielandt complement . . . . . 151--157
          Stewart E. Stonehewer   Subnormal subgroups of factorised groups 158--175
                 John S. Wilson   An embedding condition for subgroups of
                                  infinite groups  . . . . . . . . . . . . 176--179


Lecture Notes in Mathematics
Volume 1282, 1987

             David E. Handelman   Introduction . . . . . . . . . . . . . . 1--5
             David E. Handelman   Definitions and notation . . . . . . . . 6--13
             David E. Handelman   A random walk problem  . . . . . . . . . 14--27
             David E. Handelman   Integral closure and Cohen--Macauleyness 28--40
             David E. Handelman   Projective $ R_K $-modules are free  . . 41--43
             David E. Handelman   States on ideals . . . . . . . . . . . . 44--49
             David E. Handelman   Factoriality and integral simplicity . . 50--59
             David E. Handelman   Meet-irreducibile ideals in $ R_K $  . . 60--66
             David E. Handelman   Isomorphisms . . . . . . . . . . . . . . 67--88


Lecture Notes in Mathematics
Volume 1283, 1987

               Fredric D. Ancel   An alternative proof of M. Brown's
                                  theorem on inverse sequences of near
                                  homeomorphisms . . . . . . . . . . . . . 1--2
             Friedrich W. Bauer   Strong homology theories . . . . . . . . 3--29
                 Z. \vCerin and   
                    T. Watanabe   Borsuk fixed point theorem for
                                  multi-valued maps  . . . . . . . . . . . 30--37
        Mónica Clapp and   
                   Dieter Puppe   Improving categorical coverings of
                                  spaces . . . . . . . . . . . . . . . . . 38--42
             Robert J. Daverman   The intimate connections among
                                  decomposition theory, embedding theory,
                                  and manifold structure theory  . . . . . 43--47
             A. N. Dranishnikov   On resolutions of $ {\rm LC}^n
                                  $-compacta . . . . . . . . . . . . . . . 48--59
             A. N. Dranishnikov   Infinite-dimensional compacta with
                                  finite cohomological dimension modulo
                                  $p$  . . . . . . . . . . . . . . . . . . 60--64
                Jerzy Dydak and   
                     John Walsh   Sheaves that are locally constant with
                                  applications to homology manifolds . . . 65--87
                Steven C. Ferry   $ {\rm UV}^k $-equivalent compacta . . . 88--114
         Harold M. Hastings and   
                  Mahendra Jani   Covering maps in $ {\rm top}^N $ . . . . 115--124
                    L. S. Husch   Embedding of continua  . . . . . . . . . 125--130
                 James Keesling   Using solenoids in the study of the
                                  Stone--\vCech compactification . . . . . 131--147
                  Yu. T. Lisica   The Alexander--Pontryagin duality
                                  theorem for coherent homology and
                                  cohomology with coefficients in sheaves
                                  of modules . . . . . . . . . . . . . . . 148--163
           L. D. Mdzinarishvili   On exact homology  . . . . . . . . . . . 164--182
                 Luis Montejano   Geometric category and
                                  Lusternik--Schnirelmann category . . . . 183--192
                S\lawomir Nowak   On the homology of function spaces . . . 193--201
                   J. Segal and   
                     S. Spie\.z   On shape theory with compact supports    202--211
                     R. B. Sher   Complement theorems in shape theory, II  212--220
               Tadashi Watanabe   The continuity axiom and the \vCech
                                  homology . . . . . . . . . . . . . . . . 221--239
             Tatsuhiko Yagasaki   Fiber shape theory, shape fibrations and
                                  movability of maps . . . . . . . . . . . 240--252


Lecture Notes in Mathematics
Volume 1284, 1987

          Bernd Heinrich Matzat   Das Umkehrproblem der Galoistheorie.
                                  (German) []  . . . . . . . . . . . . . . 1--7
          Bernd Heinrich Matzat   Fundamentalgruppen. (German)
                                  [Fundamental groups] . . . . . . . . . . 9--55
          Bernd Heinrich Matzat   Klassenzahlen von Erzeugendensystemen.
                                  (German) []  . . . . . . . . . . . . . . 57--129
          Bernd Heinrich Matzat   Topologische Automorphismen. (German)
                                  [Topological automorphisms]  . . . . . . 131--214
          Bernd Heinrich Matzat   Einbettungsprobleme Über Hilbertkörpern.
                                  (German) []  . . . . . . . . . . . . . . 215--268


Lecture Notes in Mathematics
Volume 1285, 1987

                     G. Adomian   Analytical solutions for ordinary and
                                  partial differential equations . . . . . 1--15
           Mark S. Ashbaugh and   
                Rafael Benguria   On the ratio of the first two
                                  eigenvalues of Schrödinger operators with
                                  positive potentials  . . . . . . . . . . 16--25
                   R. Beals and   
                Percy Deift and   
                   Carlos Tomei   Inverse scattering for self-adjoint $
                                  n^{\rm th} $ order differential
                                  operators on the line  . . . . . . . . . 26--38
                R. C. Brown and   
                     Don Hinton   On the Dirichlet index conjecture  . . . 39--45
            Margaret Cheney and   
              James H. Rose and   
                  Brian DeFacio   Three-dimensional inverse scattering . . 46--54
               J.-M. Combes and   
                  Ph. Briet and   
                      P. Duclos   Spectral properties of Schrödinger
                                  operators with trapping potentials in
                                  the semi-classical limit . . . . . . . . 55--72
              Ingrid Daubechies   Discrete sets of coherent states and
                                  their use in signal analysis . . . . . . 73--82
                 B. DeFacio and   
                     O. Brander   Information, uncertainty and the
                                  singular value decomposition of the
                                  filtered Fourier transformation  . . . . 83--90
             Allen Devinatz and   
            Richard Moeckel and   
                    Peter Rejto   On Schrödinger operators with von
                                  Neumann--Wigner type potentials  . . . . 91--98
              Ronald J. DiPerna   Nonlinear conservative systems . . . . . 99--109
                    Pedro Embid   The initial value problem for the
                                  nonlinear equations for zero Mach number
                                  combustion . . . . . . . . . . . . . . . 110--118
               W. E. Fitzgibbon   Longtime solutions for a class of
                                  convection diffusion systems . . . . . . 119--125
              S. A. Fulling and   
                     G. Kennedy   A closed form for the symbol of the
                                  resolvent parametrix of an elliptic
                                  operator . . . . . . . . . . . . . . . . 126--133
             Tepper L. Gill and   
                  W. W. Zachary   Existence and finite-dimensionality of
                                  attractors for the Landau--Lifschitz
                                  equations  . . . . . . . . . . . . . . . 134--142
        Jerome A. Goldstein and   
    Gis\`ele Ruíz Rieder   The Coulomb potential in higher
                                  dimensions . . . . . . . . . . . . . . . 143--149
          Gudrun Gudmundsdottir   A regularity theorem for differential
                                  equations of constant strength . . . . . 150--154
                 Karl Gustafson   Intermittent bifurcation of vortex flows 155--161
              Nakao Hayashi and   
                Yoshio Tsutsumi   Remarks on the scattering problem for
                                  nonlinear Schrödinger equations . . . . . 162--168
               D. B. Hinton and   
                     J. K. Shaw   Asymptotics of solutions and spectra of
                                  perturbed periodic Hamiltonian systems   169--174
                Andreas M. Hinz   Behavior of eigenfunctions and the
                                  spectrum of Schrödinger operators . . . . 175--179


Lecture Notes in Mathematics
Volume 1286, 1987

                    F. R. Cohen   A course in some aspects of classical
                                  homotopy theory  . . . . . . . . . . . . 1--92
          Emmanuel Dror Farjoun   Homotopy and homology of diagrams of
                                  spaces . . . . . . . . . . . . . . . . . 93--134
              M. G. Barratt and   
             J. D. S. Jones and   
                 M. E. Mahowald   The Kervaire invariant and the Hopf
                                  invariant  . . . . . . . . . . . . . . . 135--173
         C.-F. Bödigheimer   Stable splittings of mapping spaces  . . 174--187
                 Fred Cohen and   
                  Mark Mahowald   The splitting of $ \omega^2 S^{2n + 1} $ 188--192
                 Ralph L. Cohen   A model for the free loop space of a
                                  suspension . . . . . . . . . . . . . . . 193--207
           Edward B. Curtis and   
                Paul Goerss and   
              Mark Mahowald and   
               R. James Milgram   Calculations of unstable Adams $ E_2 $
                                  terms for spheres  . . . . . . . . . . . 208--266
                Donald M. Davis   The Bo--Adams spectral sequence: Some
                                  calculations and a proof of its
                                  vanishing line . . . . . . . . . . . . . 267--285
               Nicholas J. Kuhn   The rigidity of $ L(n) $ . . . . . . . . 286--292
                  Mark Mahowald   Thom complexes and the spectra Bo and Bu 293--297
              Mark Mahowald and   
                Robert Thompson   A commentary on the ``Image of $J$ in
                                  the EHP sequence'' . . . . . . . . . . . 298--304
              William M. Singer   On the $ \Lambda $-algebra and the
                                  homology of symmetric groups . . . . . . 305--341


Lecture Notes in Mathematics
Volume 1287, 1987

        P. R. Graves-Morris and   
                  J. M. Wilkins   A fast algorithm to solve Kalman's
                                  partial realisation problem for single
                                  input, multi-output systems  . . . . . . 1--20
         Arnold Knopfmacher and   
                 D. S. Lubinsky   Analogues of Freud's conjecture for
                                  Erd\Hos type weights and related
                                  polynomial approximation problems  . . . 21--69
                A. L. Levin and   
                     E. B. Saff   Some examples in approximation on the
                                  unit disk by reciprocals of polynomials  70--82
             D. S. Lubinsky and   
                     E. B. Saff   Strong asymptotics for $ L_p $ extremal
                                  polynomials $ (1 < p \leq \infty) $
                                  associated with weights on $ [ - 1, 1] $ 83--104
                  L. S. Luo and   
                     J. Nuttall   Asymptotic behavior of the Christoffel
                                  function related to a certain unbounded
                                  set  . . . . . . . . . . . . . . . . . . 105--116
                  H. N. Mhaskar   Some discrepancy theorems  . . . . . . . 117--131
     Judith Palagallo-Price and   
                Thomas E. Price   Properties of projections obtained by
                                  averaging certain polynomial
                                  interpolants . . . . . . . . . . . . . . 132--145
                 Lothar Reichel   Boundary collocation in Fejér points for
                                  computing eigenvalues and eigenfunctions
                                  of the Laplacian . . . . . . . . . . . . 146--160
                Boris Shekhtman   On the geometry of real polynomials  . . 161--175
                    H. R. Stahl   A note on a theorem by H. N. Mhaskar and
                                  E. B. Saff . . . . . . . . . . . . . . . 176--179
                  Herbert Stahl   Existence and uniqueness of rational
                                  interpolants with free and prescribed
                                  poles  . . . . . . . . . . . . . . . . . 180--208
                   J. Waldvogel   Zero-free disks in families of analytic
                                  functions  . . . . . . . . . . . . . . . 209--228


Lecture Notes in Mathematics
Volume 1288, 1987

                  Yuri L. Rodin   The Dolbeault and Riemann--Roch theorems 1--28
                  Yuri L. Rodin   Linear integral equations connected with
                                  generalized analytic functions . . . . . 29--62
                  Yuri L. Rodin   The Riemann boundary problem . . . . . . 63--79
                  Yuri L. Rodin   Nonlinear aspects of generalized
                                  analytic function theory . . . . . . . . 80--85
                  Yuri L. Rodin   Some generalizations and applications    86--108


Lecture Notes in Mathematics
Volume 1289, 1987

             A. A. Be\u\ilinson   Height pairing between algebraic cycles  1--26
             A. A. Be\u\ilinson   On the derived category of perverse
                                  sheaves  . . . . . . . . . . . . . . . . 27--41
             A. A. Be\u\ilinson   How to glue perverse sheaves . . . . . . 42--51
         A. A. Be\u\ilinson and   
               Yu. I. Manin and   
               V. V. Schechtman   Sheaves of the Virasoro and
                                  Neveu--Schwarz algebras  . . . . . . . . 52--66
            B. L. Fe\u\igin and   
                   B. L. Tsygan   Additive $K$-theory  . . . . . . . . . . 67--209
            B. L. Fe\u\igin and   
                   B. L. Tsygan   Cyclic homology of algebras with
                                  quadratic relations, universal
                                  enveloping algebras and group algebras   210--239
               V. A. Hinich and   
               V. V. Schechtman   On homotopy limit of homotopy algebras   240--264
               V. V. Schechtman   On the delooping of Chern character and
                                  Adams operations . . . . . . . . . . . . 265--319
               Mariusz Wodzicki   Noncommutative residue. Chapter I.
                                  Fundamentals . . . . . . . . . . . . . . 320--399


Lecture Notes in Mathematics
Volume 1290, 1987

Jean-Louis Colliot-Thél\`ene and   
           Dimitri Kanevsky and   
            Jean-Jacques Sansuc   Arithmétique des Surfaces Cubiques
                                  Diagonales. (French) []  . . . . . . . . 1--108
                   D. W. Masser   Small values of heights on families of
                                  Abelian varieties  . . . . . . . . . . . 109--148
             W. Dale Brownawell   Large transcendence degree revisited . . 149--173
         W. Dale Brownawell and   
                   Robert Tubbs   Large transcendence degree revisited . . 175--188
               G. Wüstholz   A new approach to Baker's theorem on
                                  linear forms in logarithms I . . . . . . 189--202
               G. Wüstholz   A new approach to Baker's theorem on
                                  linear forms in logarithms II  . . . . . 203--211
                    E. Bombieri   On the Thue--Mahler equation . . . . . . 213--243


Lecture Notes in Mathematics
Volume 1291, 1987

           Colette M\oeglin and   
Marie-France Vignéras and   
          Jean-Loup Waldspurger   Espaces hermitiens. (French) []  . . . . 1--25
           Colette M\oeglin and   
Marie-France Vignéras and   
          Jean-Loup Waldspurger   Représentations métaplectiques et
                                  conjecture de Howe. (French) []  . . . . 27--50
           Colette M\oeglin and   
Marie-France Vignéras and   
          Jean-Loup Waldspurger   Correspondance de Howe et induction.
                                  (French) []  . . . . . . . . . . . . . . 51--77
           Colette M\oeglin and   
Marie-France Vignéras and   
          Jean-Loup Waldspurger   Sur les classes de conjugaison dans
                                  certains groupes unitaires. (French) []  79--97
           Colette M\oeglin and   
Marie-France Vignéras and   
          Jean-Loup Waldspurger   Paires réductives duales non ramifiées.
                                  (French) []  . . . . . . . . . . . . . . 99--125
           Colette M\oeglin and   
Marie-France Vignéras and   
          Jean-Loup Waldspurger   Représentations de petit rang du groupe
                                  symplectique. (French) []  . . . . . . . 127--161


Lecture Notes in Mathematics
Volume 1292, 1987

                John T. Baldwin   Classification theory: 1985  . . . . . . 1--23
            John T. Baldwin and   
                    Joel Berman   Concrete representations of lattices and
                                  the fundamental order  . . . . . . . . . 24--31
                Steven Buechler   The classification of small weakly
                                  minimal sets I . . . . . . . . . . . . . 32--71
             Z. Chatzidakis and   
                 G. Cherlin and   
                  S. Shelah and   
                   G. Srour and   
                        C. Wood   Orthogonality of types in separably
                                  closed fields  . . . . . . . . . . . . . 72--88
                  Victor Harnik   Countable or $ \omega_1$-like models of
                                  Presburger's arithmetic  . . . . . . . . 89--106
                     Bradd Hart   An exposition of OTOP  . . . . . . . . . 107--126
            John T. Baldwin and   
              Charles Steinhorn   Exercises on Local Weight  . . . . . . . 127--131
                Ehud Hrushovski   Locally modular regular types  . . . . . 132--164
              H. Jerome Keisler   Choosing elements in a saturated model   165--181
                Julia F. Knight   Degrees of models with prescribed Scott
                                  set  . . . . . . . . . . . . . . . . . . 182--191
            Julia F. Knight and   
            Alistair H. Lachlan   Shrinking, stretching, and codes for
                                  homogeneous structures . . . . . . . . . 192--229
          Larry M. Manevitz and   
                 Louis H. Rowen   Freedom via forcing: Uniform
                                  construction of relatively free or
                                  generic structures . . . . . . . . . . . 230--246
                   Anand Pillay   Simple superstable theories  . . . . . . 247--263
                 Saharon Shelah   Universal classes  . . . . . . . . . . . 264--418
                 Saharon Shelah   Classification of non elementary classes
                                  II abstract elementary classes . . . . . 419--497
                      S. Shelah   On almost categorical theories . . . . . 498--500


Lecture Notes in Mathematics
Volume 1293, 1987

               Wolfgang Ebeling   Invariants of complete intersections . . 1--20
               Wolfgang Ebeling   Computation of Dynkin diagrams . . . . . 21--66
               Wolfgang Ebeling   Dynkin diagrams for some special
                                  singularities  . . . . . . . . . . . . . 67--116
               Wolfgang Ebeling   Milnor lattices and monodromy groups . . 117--130
               Wolfgang Ebeling   Monodromy groups of symmetric vanishing
                                  lattices . . . . . . . . . . . . . . . . 131--144


Lecture Notes in Mathematics
Volume 1294, 1987

       Martine Queffélec   The algebra $ M(T) $ . . . . . . . . . . 1--14
       Martine Queffélec   Spectral theory of unitary operators . . 15--34
       Martine Queffélec   Spectral theory of dynamical systems . . 35--59
       Martine Queffélec   Dynamical systems associated to
                                  sequences  . . . . . . . . . . . . . . . 60--86
       Martine Queffélec   Dynamical systems arising from
                                  substitutions  . . . . . . . . . . . . . 87--109
       Martine Queffélec   Eigenvalues of substitution dynamical
                                  system . . . . . . . . . . . . . . . . . 110--143
       Martine Queffélec   Matrices of measures . . . . . . . . . . 144--159
       Martine Queffélec   Matrix Riesz products  . . . . . . . . . 160--173
       Martine Queffélec   Bijective automata or substitutions  . . 174--189
       Martine Queffélec   Maximal spectral type of general
                                  automata . . . . . . . . . . . . . . . . 190--209
       Martine Queffélec   Spectral multiplicity of general
                                  automata . . . . . . . . . . . . . . . . 210--224


Lecture Notes in Mathematics
Volume 1295, 1987

                      D. Barlet   Symétrie de Hodge pour le polynôme de
                                  Bernstein--Sato. (French) [] . . . . . . 1--10
                  D. Barlet and   
                    H.-M. Maire   Développements asymptotiques,
                                  transformation de Mellin complexe et
                                  intégration sur les fibres. (French) []   11--23
           Jean-Pierre Demailly   Une preuve simple de la conjecture de
                                  Grauert--Riemenschneider. (French) []    24--47
           Jean-Pierre Demailly   Sur les théor\`emes d'annulation et de
                                  finitude de T. Ohsawa et O. Abdelkader.
                                  (French) []  . . . . . . . . . . . . . . 48--58
             Khalid Filali Adib   Étude des fonctions méromorphes sur
                                  certains espaces fibrés. (French) []  . . 59--95
Christine Laurent-Thiébaut   Transformation de Bochner--Martinelli
                                  dans une variété de Stein. (French) [] . . 96--131
                     G. Laville   Sur un calcul symbolique de Feynman.
                                  (French) [On a symbolic calculation by
                                  Feynman] . . . . . . . . . . . . . . . . 132--145
            A. Méril and   
                  D. C. Struppa   Phénom\`ene de Hartogs et équations de
                                  convolution. (French) [] . . . . . . . . 146--156
                 Mikael Passare   Courants meromorphes et égalité de la
                                  valeur principale et de la partie finie.
                                  (French) []  . . . . . . . . . . . . . . 157--166
                    Gilles Raby   Paramétrix, cohomologie et formes
                                  méromorphes. (French) []  . . . . . . . . 167--225
                     Alain Yger   Formules de division et prolongement
                                  meromorphe. (French) []  . . . . . . . . 226--283


Lecture Notes in Mathematics
Volume 1296, 1987

              Kossivi Adjamagbo   Synth\`ese de la théorie du determinant
                                  sur un anneau finement filtré. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 1--27
              Yves André   Quatre descriptions des groupes de
                                  Galois differentiels. (French) []  . . . 28--41
   Amédée Debiard   Syst\`eme différentiel hypergéométrique et
                                  parties radiales des opérateurs
                                  invariants des espaces symétriques de
                                  type $ {\rm BC}_p $. (French) [] . . . . 42--124
             Arno van den Essen   Modules with regular singularities over
                                  filtered rings and algebraic
                                  micro-localization . . . . . . . . . . . 125--157
                    S. P. Smith   Curves, differential operators and
                                  finite dimensional algebras  . . . . . . 158--176
                   Michel Brion   Sur l'image de l'application moment.
                                  (French) []  . . . . . . . . . . . . . . 177--192
               Jan Van Geel and   
                   P. Salberger   Maximal orders over curves . . . . . . . 193--213
                      J. Herzog   Linear Cohen--Macaulay modules on
                                  integral quadrics  . . . . . . . . . . . 214--227
           Michel Van den Bergh   Regular rings of dimension three . . . . 228--234
               C. R. Hajarnavis   Homological and Cohen--Macaulay
                                  properties in non-commutative Noetherian
                                  rings  . . . . . . . . . . . . . . . . . 235--246
                 J. T. Stafford   Global dimension of semiprime Noetherian
                                  rings  . . . . . . . . . . . . . . . . . 247--260
             Günter Krause   Cha\^\ines d'idéaux annulateurs d'un
                                  anneau noethérien. (French) []  . . . . . 261--275
                   Bernard Roux   Anneaux de valuation discr\`ete complêts,
                                  scindes, non commutatifs, en
                                  caractéristique zéro. (French) []  . . . . 276--311
                    Maher Zayed   Ultraproduits et modules sans facteurs
                                  directs de type fini. (French) []  . . . 312--324


Lecture Notes in Mathematics
Volume 1297, 1987

                   Li Shan Kang   Parallel algorithms and domain
                                  decomposition  . . . . . . . . . . . . . 61--75


Lecture Notes in Mathematics
Volume 1298, 1987

                Mich\`ele Audin   Classes caractéristiques lagrangiennes.
                                  (French) []  . . . . . . . . . . . . . . 1--16
                   Andrew Baker   Combinatorial and arithmetic identities
                                  based on formal group laws . . . . . . . 17--34
                    M. C. Crabb   On the stable splitting of $ U(n) $ and
                                  $ \omega U(n) $  . . . . . . . . . . . . 35--53
            E. Dror Farjoun and   
                   A. Zabrodsky   The homotopy spectral sequence for
                                  equivariant function complexes . . . . . 54--81
                W. G. Dwyer and   
                      G. Mislin   On the homotopy type of the components
                                  of $ {\rm map}_*{({\rm BS}^3, {\rm
                                  BS}^3)} $  . . . . . . . . . . . . . . . 82--89
           William G. Dwyer and   
           Haynes R. Miller and   
          Clarence W. Wilkerson   The homotopic uniqueness of $ {\rm BS}^3
                                  $  . . . . . . . . . . . . . . . . . . . 90--105
                   W. Dwyer and   
                   A. Zabrodsky   Maps between classifying spaces  . . . . 106--119
                   Beno Eckmann   Nilpotent group action and Euler
                                  characteristic . . . . . . . . . . . . . 120--123
                  N. D. Gilbert   On the fundamental $ {\rm cat}^n$-group
                                  of an $n$-cube of spaces . . . . . . . . 124--139
                Henry H. Glover   Coloring maps on surfaces  . . . . . . . 140--147
                  P. Goerss and   
                   L. Smith and   
                      S. Zarati   Sur les $A$-alg\`ebres instables.
                                  (French) []  . . . . . . . . . . . . . . 148--161
               K. A. Hardie and   
                    K. H. Kamps   The homotopy category of homotopy
                                  factorizations . . . . . . . . . . . . . 162--170
         L. J. Hernández   Proper cohomologies and the proper
                                  classification problem . . . . . . . . . 171--191
                 Akira Kono and   
               Kiminao Ishitoya   Squaring operations in $ \bmod 2 $
                                  cohomology of quotients of compact Lie
                                  groups by maximal tori . . . . . . . . . 192--206
                Jean Lannes and   
                Lionel Schwartz   On the structure of the $ m
                                  u$-injectives  . . . . . . . . . . . . . 207--214
                 S. A. Mitchell   The Bott filtration of a loop group  . . 215--226
           Zdzis\law Wojtkowiak   On maps from $ h \underrightarrow o \lim
                                  F $ to $Z$ . . . . . . . . . . . . . . . 227--236
                  R. M. W. Wood   Splitting $ \Sigma ({\rm CP}^\infty
                                  \times \ldots \times {\rm CP}^\infty) $
                                  and the action of Steenrod squares $
                                  {\rm Sq}^i $ on the polynomial ring $
                                  F_2 [x_1, \ldots, x_n] $ . . . . . . . . 237--255


Lecture Notes in Mathematics
Volume 1300, 1988

             George B. Seligman   An introductory example: $ {\rm sl}(n,
                                  D) $ . . . . . . . . . . . . . . . . . . 1--11
             George B. Seligman   General considerations . . . . . . . . . 12--20
             George B. Seligman   Involutorial algebras and modules for
                                  their skew elements  . . . . . . . . . . 21--36
             George B. Seligman   Construction of modules with prescribed
                                  relative highest weights, for the
                                  isotropic algebras of chapter 3  . . . . 37--51
             George B. Seligman   Construction of exceptional algebras
                                  from quadratic forms . . . . . . . . . . 52--83
             George B. Seligman   Representations of exceptional algebras
                                  constructed from quadratic forms . . . . 84--114
             George B. Seligman   Non-reduced exceptional algebras with a
                                  one-dimensional root space . . . . . . . 115--140
             George B. Seligman   Construction of modules for the
                                  super-exceptional algebras of rank one   141--178
             George B. Seligman   Complements  . . . . . . . . . . . . . . 179--185


Lecture Notes in Mathematics
Volume 1301, 1988

            Norbert Schappacher   Algebraic Hecke characters . . . . . . . 1--22
            Norbert Schappacher   Motives for algebraic Hecke characters   23--80
            Norbert Schappacher   The periods of algebraic Hecke
                                  characters . . . . . . . . . . . . . . . 81--116
            Norbert Schappacher   Elliptic integrals and the gamma
                                  function . . . . . . . . . . . . . . . . 117--127
            Norbert Schappacher   Abelian integrals with complex
                                  multiplication . . . . . . . . . . . . . 128--137
            Norbert Schappacher   Motives of CM modular forms  . . . . . . 138--147


Lecture Notes in Mathematics
Volume 1302, 1988

                    Jaak Peetre   Marcel Riesz in Lund . . . . . . . . . . 1--10
                 J. Alvarez and   
                      M. Milman   Interpolation of tent spaces and
                                  applications . . . . . . . . . . . . . . 11--21
              Mischa Cotlar and   
                   Cora Sadosky   Toeplitz liftings of Hankel forms  . . . 22--43
               Robert Fefferman   Some recent developments in Fourier
                                  analysis and $ H^P $ theory on product
                                  domains --- II . . . . . . . . . . . . . 44--51
        Hans G. Feichtinger and   
       Karlheinz Gröchenig   A unified approach to atomic
                                  decompositions via integrable group
                                  representations  . . . . . . . . . . . . 52--73
               Richard Rochberg   The work of Coifman and Semmes on
                                  complex interpolation, several complex
                                  variables, and PDE's . . . . . . . . . . 74--90
           Richard Rochberg and   
      Anita Tabacco Vignati and   
              Marco Vignati and   
                    Guido Weiss   Interpolation of quasinormed spaces by
                                  the complex method . . . . . . . . . . . 91--98
                    Hans Wallin   New and old function spaces  . . . . . . 99--114
                 David R. Adams   A note on Choquet integrals with respect
                                  to Hausdorff capacity  . . . . . . . . . 115--124
                   J. Arazy and   
               S. D. Fisher and   
                      J. Peetre   Besov norms of rational functions  . . . 125--129
               Jöran Bergh   Functions of bounded mean oscillation
                                  and Hausdorff--Young type theorems . . . 130--136
                Bogdan Bojarski   Remarks on local function spaces . . . . 137--152
          Lennart Bondesson and   
                    Jaak Peetre   The classes $ V_a $ are monotone . . . . 153--157
             Fernando Cobos and   
         Dicesar Lass Fernandez   Hardy--Sobolev spaces and Besov spaces
                                  with a function parameter  . . . . . . . 158--170
             Michael Cwikel and   
                   Yoram Sagher   An extension of Fourier type to
                                  quasi-Banach spaces  . . . . . . . . . . 171--176
                L. T. Dechevski   $ \tau $-Moduli and interpolation  . . . 177--190
               R. A. DeVore and   
                    V. A. Popov   Interpolation spaces and non-linear
                                  approximation  . . . . . . . . . . . . . 191--205
                   Klas Forsman   Atomic decompositions in Hardy spaces on
                                  bounded Lipschitz domains  . . . . . . . 206--222
            Michael Frazier and   
             Björn Jawerth   The $ \phi $-transform and applications
                                  to distribution spaces . . . . . . . . . 223--246
                  U. Hamann and   
                  G. Wildenhain   Approximation by solutions of elliptic
                                  boundary value problems in various
                                  function spaces  . . . . . . . . . . . . 247--252


Lecture Notes in Mathematics
Volume 1303, 1988

                  Luigi Accardi   A note on Meyer's note . . . . . . . . . 1--5
              Luigi Accardi and   
                 Franco Fagnola   Stochastic integration . . . . . . . . . 6--19
                David Applebaum   Quantum stochastic parallel transport on
                                  non-commutative vector bundles . . . . . 20--36
             Alberto Barchielli   Input and output channels in quantum
                                  systems and quantum stochastic
                                  differential equations . . . . . . . . . 37--51
                 Carlo Cecchini   Some noncommutative Radon--Nikodym
                                  Theorems for von Neumann algebras  . . . 52--68
                   M. Evans and   
                   R. L. Hudson   Multidimensional quantum diffusions  . . 69--88
                      M. Fannes   An application of de Finetti's theorem   89--102
                     G. W. Ford   The quantum Langevin equation from the
                                  independent-oscillator model . . . . . . 103--106
               Alberto Frigerio   Quantum Poisson processes: Physical
                                  motivations and applications . . . . . . 107--127
                   A. S. Holevo   A noncommutative generalization of
                                  conditionally positive definite
                                  functions  . . . . . . . . . . . . . . . 128--148
                  Ryszard Jajte   Contraction semigroups in $ L^2 $ over a
                                  von Neumann algebra  . . . . . . . . . . 149--153
         Burkhard Kümmerer   Survey on a theory of non-commutative
                                  stationary Markov processes  . . . . . . 154--182
            Göran Lindblad   Dynamical entropy for quantum systems    183--191
             Martin Lindsay and   
                   Hans Maassen   An integral kernel approach to noise . . 192--208
                    P.-A. Meyer   A note on shifts and cocycles  . . . . . 209--212
            K. R. Parthasarathy   Local measures in Fock space stochastic
                                  calculus and a generalized Itô--Tanaka
                                  formula  . . . . . . . . . . . . . . . . 213--231
        K. R. Parthasarathy and   
                Kalyan B. Sinha   Representation of a class of quantum
                                  martingales II . . . . . . . . . . . . . 232--250
              Dénes Petz   Conditional expectation in quantum
                                  probability  . . . . . . . . . . . . . . 251--260
               Johan Quaegebeur   Mutual quadratic variation and Itô's
                                  table in quantum stochastic calculus . . 261--274
                  Uwe Quasthoff   On mixing properties of automorphisms of
                                  von Neumann algebras related to measure
                                  space transformations  . . . . . . . . . 275--284


Lecture Notes in Mathematics
Volume 1304, 1988

  Fernando Quadros Gouvêa   $p$-adic modular forms . . . . . . . . . 1--29
  Fernando Quadros Gouvêa   The Hecke and $U$ operators  . . . . . . 30--70
  Fernando Quadros Gouvêa   Galois representations . . . . . . . . . 71--116


Lecture Notes in Mathematics
Volume 1305, 1988

          Doron S. Lubinsky and   
                 Edward B. Saff   Introduction . . . . . . . . . . . . . . 1--11
          Doron S. Lubinsky and   
                 Edward B. Saff   Notation and index of notation . . . . . 12--16
          Doron S. Lubinsky and   
                 Edward B. Saff   Statement of main results  . . . . . . . 17--23
          Doron S. Lubinsky and   
                 Edward B. Saff   Weighted polynomials and zeros of
                                  extremal polynomials . . . . . . . . . . 24--27
          Doron S. Lubinsky and   
                 Edward B. Saff   Integral equations . . . . . . . . . . . 28--39
          Doron S. Lubinsky and   
                 Edward B. Saff   Polynomial approximation of potentials   40--48
          Doron S. Lubinsky and   
                 Edward B. Saff   Infinite-finite range inequalities and
                                  their sharpness  . . . . . . . . . . . . 49--56
          Doron S. Lubinsky and   
                 Edward B. Saff   The largest zeros of extremal
                                  polynomials  . . . . . . . . . . . . . . 57--66
          Doron S. Lubinsky and   
                 Edward B. Saff   Further properties of $ U_{n, R}(x) $    67--72
          Doron S. Lubinsky and   
                 Edward B. Saff   $N$ th root asymptotics for extremal
                                  polynomials  . . . . . . . . . . . . . . 73--79
          Doron S. Lubinsky and   
                 Edward B. Saff   Approximation by certain weighted
                                  polynomials, I . . . . . . . . . . . . . 80--90
          Doron S. Lubinsky and   
                 Edward B. Saff   Approximation by certain weighted
                                  polynomials, II  . . . . . . . . . . . . 91--110
          Doron S. Lubinsky and   
                 Edward B. Saff   Bernstein's formula and Bernstein
                                  extremal polynomials . . . . . . . . . . 111--119
          Doron S. Lubinsky and   
                 Edward B. Saff   Proof of the asymptotics for $ E_{np}(W)
                                  $  . . . . . . . . . . . . . . . . . . . 120--127
          Doron S. Lubinsky and   
                 Edward B. Saff   Proof of the asymptotics for the $ L_p $
                                  extremal polynomials . . . . . . . . . . 128--135
          Doron S. Lubinsky and   
                 Edward B. Saff   The case $ p = 2 $: Orthonormal
                                  polynomials  . . . . . . . . . . . . . . 136--145


Lecture Notes in Mathematics
Volume 1306, 1988

                 F. Almgren and   
                 W. Browder and   
                     E. H. Lieb   Co-area, liquid crystals, and minimal
                                  surfaces . . . . . . . . . . . . . . . . 1--22
                  Richard Beals   Nonelliptic problems and complex
                                  analysis . . . . . . . . . . . . . . . . 23--37
                   Shuxing Chen   Smoothness of shock front solutions for
                                  systems of conservation laws . . . . . . 38--60
                     Yazhe Chen   On degenerate Monge--Amp\`ere equations
                                  in convex domains  . . . . . . . . . . . 61--68
                   Hong-Yuan Fu   Initial and boundary problems for the
                                  degenerate or singular system of the
                                  filtration type  . . . . . . . . . . . . 69--83
                    Yumin Huang   On interior regularity of solutions of a
                                  class of hypoelliptic equations  . . . . 84--92
                     Zhiren Jin   A counterexample to the Yamabe problem
                                  for complete noncompact manifolds  . . . 93--101
                      Huilai Li   Free boundary problems for degenerate
                                  parabolic equations  . . . . . . . . . . 102--130
                Ta-tsien Li and   
                  Yan-chun Zhao   Global perturbation of the Riemann
                                  problem for the system of
                                  one-dimensional isentropic flow  . . . . 131--140
               Qing-jiu Qiu and   
                    Si-xin Qian   Analysis of $ C^\infty $-singularities
                                  for a class of operators with varying
                                  multiple characteristics . . . . . . . . 141--148
                     Yongji Tan   An inverse problem for nonlocal elliptic
                                  bvp and resistivity identification . . . 149--159
                 Jean E. Taylor   Local ellipticity of $F$ and regularity
                                  of $F$ minimizing currents . . . . . . . 160--173
             Friedrich Tomi and   
                   A. J. Tromba   A geometric proof of the Mumford
                                  compactness theorem  . . . . . . . . . . 174--181
                  Guanglie Wang   Harnack inequalities for functions in De
                                  Giorgi parabolic class . . . . . . . . . 182--201
                 Zhi-qiang Wang   Equivariant Morse theory for isolated
                                  critical orbits and its applications to
                                  nonlinear problems . . . . . . . . . . . 202--223
                     Fontong Wu   A class diffractive boundary value
                                  problem with multiple characteristic . . 224--239
                    Lancheng Wu   Existence, uniqueness and regularity of
                                  the minimizer of a certain functional    240--254
                     Ziqian Yan   Everywhere regularity for solutions to
                                  quasilinear elliptic systems of
                                  triangular form  . . . . . . . . . . . . 255--261
                   Ke-Wei Zhang   On the Dirichlet problem for a class of
                                  quasilinear elliptic systems of partial
                                  differential equations in divergence
                                  form . . . . . . . . . . . . . . . . . . 262--277
                 Yulin Zhou and   
                     Boling Guo   Initial value problems for a nonlinear
                                  singular integral-differential equation
                                  of deep water  . . . . . . . . . . . . . 278--290


Lecture Notes in Mathematics
Volume 1307, 1988

                 Takafumi Murai   The Calderón commutator (8 proofs of its
                                  boundedness) . . . . . . . . . . . . . . 1--30
                 Takafumi Murai   A real variable method for the Cauchy
                                  transform on graphs  . . . . . . . . . . 31--70
                 Takafumi Murai   Analytic capacities of cranks  . . . . . 71--116


Lecture Notes in Mathematics
Volume 1308, 1988

                 Peter Imkeller   Introduction . . . . . . . . . . . . . . 1--22
                 Peter Imkeller   Notations and conventions  . . . . . . . 23--27
                 Peter Imkeller   Basics; processes depending on a
                                  parameter  . . . . . . . . . . . . . . . 28--65
                 Peter Imkeller   Two-parameter processes  . . . . . . . . 66--98
                 Peter Imkeller   Jumps of martingales and their
                                  compensation . . . . . . . . . . . . . . 99--130
                 Peter Imkeller   Quadratic variation and structure of
                                  martingales  . . . . . . . . . . . . . . 131--168


Lecture Notes in Mathematics
Volume 1309, 1988

                Bernold Fiedler   Introduction . . . . . . . . . . . . . . 1--14
                Bernold Fiedler   Main results . . . . . . . . . . . . . . 15--26
                Bernold Fiedler   No symmetry --- a survey . . . . . . . . 27--34
                Bernold Fiedler   Virtual symmetry . . . . . . . . . . . . 35--47
                Bernold Fiedler   Generic local theory . . . . . . . . . . 48--67
                Bernold Fiedler   Generic global theory  . . . . . . . . . 68--83
                Bernold Fiedler   General global theory  . . . . . . . . . 84--91
                Bernold Fiedler   Applications . . . . . . . . . . . . . . 92--105
                Bernold Fiedler   Discussion . . . . . . . . . . . . . . . 106--115
                Bernold Fiedler   Appendix on genericity . . . . . . . . . 116--134


Lecture Notes in Mathematics
Volume 1310, 1988

        Olav Arnfinn Laudal and   
                Gerhard Pfister   Introduction . . . . . . . . . . . . . . 1--7
        Olav Arnfinn Laudal and   
                Gerhard Pfister   The prorepresenting substratum of the
                                  formal moduli  . . . . . . . . . . . . . 8--14
        Olav Arnfinn Laudal and   
                Gerhard Pfister   Automorphisms of the formal moduli . . . 15--31
        Olav Arnfinn Laudal and   
                Gerhard Pfister   The Kodaira--Spencer map and its kernel  32--60
        Olav Arnfinn Laudal and   
                Gerhard Pfister   Applications to isolated hypersurface
                                  singularities  . . . . . . . . . . . . . 61--71
        Olav Arnfinn Laudal and   
                Gerhard Pfister   Plane curve singularities with k*-action 72--87
        Olav Arnfinn Laudal and   
                Gerhard Pfister   The generic component of the local
                                  moduli suite . . . . . . . . . . . . . . 88--104
        Olav Arnfinn Laudal and   
                Gerhard Pfister   The moduli suite of $ x_1^5 + x_2^{11} $ 105--111


Lecture Notes in Mathematics
Volume 1311, 1988

                   Paolo Aluffi   The characteristic numbers of smooth
                                  plane cubics . . . . . . . . . . . . . . 1--8
              Susan Jane Colley   Multiple-point formulas and line
                                  complexes  . . . . . . . . . . . . . . . 9--22
                Steven Diaz and   
                     Joe Harris   Geometry of Severi varieties, II:
                                  Independence of divisor classes and
                                  examples . . . . . . . . . . . . . . . . 23--50
               Lawrence Ein and   
             David Eisenbud and   
                   Sheldon Katz   Varieties cut out by quadrics:
                                  Scheme-theoretic versus homogeneous
                                  generation of ideals . . . . . . . . . . 51--70
                   Lawrence Ein   Vanishing theorems for varieties of low
                                  codimension  . . . . . . . . . . . . . . 71--75
               G. Elencwajg and   
                     P. Le Barz   Explicit computations in $ {\rm Hilb}^3
                                  \mathbb {P}^2 $  . . . . . . . . . . . . 76--100
                Brian Harbourne   Iterated blow-ups and moduli for
                                  rational surfaces  . . . . . . . . . . . 101--117
                Audun Holme and   
                   Joel Roberts   On the embeddings of projective
                                  varieties  . . . . . . . . . . . . . . . 118--146
                   Sheldon Katz   Iteration of multiple point formulas and
                                  applications to conics . . . . . . . . . 147--155
          Steven L. Kleiman and   
                 Robert Speiser   Enumerative geometry of nodal plane
                                  cubics . . . . . . . . . . . . . . . . . 156--196
                   Joel Roberts   Old and new results about the triangle
                                  varieties  . . . . . . . . . . . . . . . 197--219
F. Rosselló Llompart and   
       S. Xambó Descamps   Computing Chow groups  . . . . . . . . . 220--234
                 Robert Speiser   Transversality theorems for families of
                                  maps . . . . . . . . . . . . . . . . . . 235--252
              Anders Thorup and   
                 Steven Kleiman   Complete bilinear forms  . . . . . . . . 253--320


Lecture Notes in Mathematics
Volume 1312, 1988

            Nikolai A. Shirokov   Introduction . . . . . . . . . . . . . . 1--19
            Nikolai A. Shirokov   Notations  . . . . . . . . . . . . . . . 21--24
            Nikolai A. Shirokov   The ($F$)-property . . . . . . . . . . . 25--53
            Nikolai A. Shirokov   Moduli of analytic functions smooth up
                                  to the boundary  . . . . . . . . . . . . 54--135
            Nikolai A. Shirokov   Zeros and their multiplicities . . . . . 136--173
            Nikolai A. Shirokov   Closed ideals in the space $ X_{pq}^\mu
                                  (\omega, \ell) $ . . . . . . . . . . . . 174--205


Lecture Notes in Mathematics
Volume 1313, 1988

                 Fritz Colonius   Introduction . . . . . . . . . . . . . . 1--7
                 Fritz Colonius   Optimization theory  . . . . . . . . . . 8--30
                 Fritz Colonius   Retarded functional differential
                                  equations  . . . . . . . . . . . . . . . 31--47
                 Fritz Colonius   Strong local minima  . . . . . . . . . . 48--64
                 Fritz Colonius   Weak local minima  . . . . . . . . . . . 65--85
                 Fritz Colonius   Local relaxed minima . . . . . . . . . . 86--103
                 Fritz Colonius   Tests for local properness . . . . . . . 104--128
                 Fritz Colonius   A scenario for local properness  . . . . 129--144
                 Fritz Colonius   Optimal periodic control of ordinary
                                  differential equations . . . . . . . . . 145--166


Lecture Notes in Mathematics
Volume 1314, 1988

                   Akito Futaki   Introduction . . . . . . . . . . . . . . 1--6
                   Akito Futaki   Preliminaries  . . . . . . . . . . . . . 7--30
                   Akito Futaki   Kähler--Einstein metrics and extremal
                                  Kähler metrics  . . . . . . . . . . . . . 31--45
                   Akito Futaki   The character $f$ and its generalization
                                  to Kählerian invariants . . . . . . . . . 46--55
                   Akito Futaki   The character $f$ as an obstruction  . . 56--67
                   Akito Futaki   The character $f$ as a classical
                                  invariant  . . . . . . . . . . . . . . . 68--86
                   Akito Futaki   Lifting $f$ to a group character . . . . 87--98
                   Akito Futaki   The character $f$ as a moment map  . . . 99--112
                   Akito Futaki   Aubin's approach and related results . . 113--132


Lecture Notes in Mathematics
Volume 1315, 1988

            Robert A. McCoy and   
                   Ibula Ntantu   Introduction . . . . . . . . . . . . . . 1--1
            Robert A. McCoy and   
                   Ibula Ntantu   Function space topologies  . . . . . . . 3--14
            Robert A. McCoy and   
                   Ibula Ntantu   Natural functions  . . . . . . . . . . . 15--38
            Robert A. McCoy and   
                   Ibula Ntantu   Convergence and compact subsets  . . . . 39--50
            Robert A. McCoy and   
                   Ibula Ntantu   Cardinal functions . . . . . . . . . . . 51--73
            Robert A. McCoy and   
                   Ibula Ntantu   Completeness and other properties  . . . 74--105


Lecture Notes in Mathematics
Volume 1316, 1988

                Daniel L. Ocone   A guide to the stochastic calculus of
                                  variations . . . . . . . . . . . . . . . 1--79
                  David Nualart   Nonclausal stochastic integrals and
                                  calculus . . . . . . . . . . . . . . . . 80--129
                 Hui-Hsiung Kuo   Brownian motion, diffusions and infinite
                                  dimensional calculus . . . . . . . . . . 130--169
               Paul Krée   La théorie des distributions en dimension
                                  quelconque et l'intégration stochastique.
                                  (French) []  . . . . . . . . . . . . . . 170--233
      H. Körezlio\uglu and   
        A. S. Üstünel   An Itô formula for processes with values
                                  in an abstract Wiener space  . . . . . . 234--246
        A. S. Üstünel   Some comments on the filtering of
                                  diffusions and the Malliavin calculus    247--266
                    Jean Picard   Approximation of stochastic differential
                                  equations and application of the
                                  stochastic calculus of variations to the
                                  rate of convergence  . . . . . . . . . . 267--287
                 K. D. Elworthy   Brownian motion and harmonic forms . . . 288--304
                   P. Baldi and   
             M. Chaleyat-Maurel   An extension of Ventsel--Freidlin
                                  estimates  . . . . . . . . . . . . . . . 305--327
            Monique Pontier and   
              Jacques Szpirglas   Uniqueness of the solutions of the
                                  filtering equation with observations on
                                  a Riemannian symmetric space . . . . . . 328--339
                Bernard Lapeyre   Majoration a priori des solutions
                                  d'équations différentielles stochastiques
                                  stables. (French) [] . . . . . . . . . . 340--351
                   Robert Cohen   A filtering formula for a non-linear
                                  system having a continuous observation,
                                  and a discrete observation at random
                                  times  . . . . . . . . . . . . . . . . . 352--371


Lecture Notes in Mathematics
Volume 1317, 1988

                     C. J. Read   The invariant subspace problem on a
                                  class of nonreflexive Banach spaces, 1   1--20
                      Y. Yomdin   Approximational complexity of functions  21--43
                J. Bourgain and   
           J. Lindenstrauss and   
                   V. D. Milman   Minkowski sums and symmetrizations . . . 44--66
                 Shlomo Reisner   On two theorems of Lozanovskii
                                  concerning intermediate Banach lattices  67--83
                      Y. Gordon   On Milman's inequality and random
                                  subspaces which escape through a mesh in
                                  $ \mathbb {R}^n $  . . . . . . . . . . . 84--106
                   V. D. Milman   Isomorphic symmetrization and geometric
                                  inequalities . . . . . . . . . . . . . . 107--131
                      M. Gromov   Dimension, non-linear spectra and width  132--184
               J. Lindenstrauss   Some useful facts about Banach spaces    185--200
             William B. Johnson   Homogeneous Banach spaces  . . . . . . . 201--203
                    J. Bourgain   An approach to pointwise ergodic
                                  theorems . . . . . . . . . . . . . . . . 204--223
                     Keith Ball   Some remarks on the geometry of convex
                                  sets . . . . . . . . . . . . . . . . . . 224--231
                    J. Bourgain   On finite dimensional homogeneous Banach
                                  spaces . . . . . . . . . . . . . . . . . 232--238
                    J. Bourgain   Vector-valued Hausdorff--Young
                                  inequalities and applications  . . . . . 239--249
                J. Bourgain and   
               J. Lindenstrauss   Projection bodies  . . . . . . . . . . . 250--270
                J. Bourgain and   
                   M. Meyer and   
                  V. Milman and   
                       A. Pajor   On a geometric inequality  . . . . . . . 271--282
                   V. D. Milman   A few observations on the connections
                                  between local theory and some other
                                  fields . . . . . . . . . . . . . . . . . 283--289


Lecture Notes in Mathematics
Volume 1318, 1988

                 David J. Anick   Recent progress in Hilbert and Poincaré
                                  series . . . . . . . . . . . . . . . . . 1--25
                 Marc Aubry and   
            Jean-Michel Lemaire   Homotopies d'alg\`ebres de Lie et de
                                  leurs alg\`ebres enveloppantes. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 26--30
             Hans Joachim Baues   Combinatorial homotopy . . . . . . . . . 31--50
              Dan Burghelea and   
Micheline Vigué Poirrier   Cyclic homology of commutative algebras
                                  I  . . . . . . . . . . . . . . . . . . . 51--72
              Bohumil Cenkl and   
                 Richard Porter   Cohomology of nilmanifolds . . . . . . . 73--86
                Johan L. Dupont   A dual simplicial de Rham complex  . . . 87--91
           William G. Dwyer and   
          Clarence W. Wilkerson   Maps of $ {\rm BZ} / p Z $ to $ {\rm BG}
                                  $  . . . . . . . . . . . . . . . . . . . 92--98
          Yves Félix and   
            Daniel Tanré   Formalité d'une application et suite
                                  spectrale d'Eilenberg--Moore. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 99--123
            Y. Félix and   
                   J. C. Thomas   An Euler--Poincaré characteristic for
                                  $1$-connected spaces with Noetherian
                                  rational cohomology  . . . . . . . . . . 124--137
                S. Halperin and   
                  J.-M. Lemaire   Notions of category in differential
                                  algebra  . . . . . . . . . . . . . . . . 138--154
                    Jack Lescot   Séries de Poincaré des modules
                                  multi-gradués sur les anneaux monômiaux.
                                  (French) []  . . . . . . . . . . . . . . 155--161
                   A. Ouadghiri   Un modêle de Sullivan en homotopie modérée.
                                  (French) []  . . . . . . . . . . . . . . 162--191
                    H. Scheerer   Report on tame homotopy theory via
                                  differential forms . . . . . . . . . . . 192--207
                Lionel Schwartz   La filtration nilpotente de la catégorie
                                  $ \mu $ et la cohomologie des espaces de
                                  lacets. (French) []  . . . . . . . . . . 208--218
                    Paul Selick   Moore conjectures  . . . . . . . . . . . 219--227
                 James Stasheff   Cohomological physics  . . . . . . . . . 228--237
Micheline Vigué-Poirrier   Cyclic homology and Quillen homology of
                                  a commutative algebra  . . . . . . . . . 238--245


Lecture Notes in Mathematics
Volume 1319, 1988

                 Matti Vuorinen   Conformal geometry . . . . . . . . . . . 1--47
                 Matti Vuorinen   Modulus and capacity . . . . . . . . . . 48--119
                 Matti Vuorinen   Quasiregular mappings  . . . . . . . . . 120--172
                 Matti Vuorinen   Boundary behavior  . . . . . . . . . . . 173--192


Lecture Notes in Mathematics
Volume 1320, 1988

        Branka P. Alimpi\'c and   
           Dragica N. Krgovi\'c   Some congruences on regular semigroups   1--10
                  Jorge Almeida   On pseudovarieties of monoids  . . . . . 11--17
                K. Culik II and   
              J. Karhumäki   Systems of equations over a finitely
                                  generated free monoid having an
                                  effectively findable equivalent finite
                                  subsystem  . . . . . . . . . . . . . . . 18--27
       Marie Demlová and   
           Václav Koubek   Minimal congruences and coextensions in
                                  semigroups . . . . . . . . . . . . . . . 28--83
         Vladimir Fleischer and   
                  Ulrich Knauer   Endomorphism monoids of acts are wreath
                                  products of monoids with small
                                  categories . . . . . . . . . . . . . . . 84--96
                  John Fountain   Free right $h$-adequate semigroups . . . 97--120
         Gregory A. Freiman and   
                Boris M. Schein   Group and semigroup theoretic
                                  considerations inspired by inverse
                                  problems of the additive number theory   121--140
            Simon M. Goberstein   Correspondences of semigroups  . . . . . 141--149
       P. Goral\vcík and   
                      V. Koubek   On universality of extensions  . . . . . 150--153
                 U. Hebisch and   
           L. C. A. van Leeuwen   On additively or multiplicatively
                                  idempotent semirings and partial orders  154--161
                 Peter R. Jones   Congruence semimodular varieties of
                                  semigroups . . . . . . . . . . . . . . . 162--171
            Masashi Katsura and   
                     H. J. Shyr   Decomposition of languages into
                                  disjunctive outfix codes . . . . . . . . 172--175
        Gérard Lallement   Some algorithms for semigroups and
                                  monoids presented by a single relation   176--182
                   Wilfried Lex   Remarks on acts and the lattice of their
                                  torsion theories . . . . . . . . . . . . 183--193
                 D. Lippert and   
                      W. Thomas   Relativized star-free expressions,
                                  first-order logic, and a concatenation
                                  game . . . . . . . . . . . . . . . . . . 194--204
                   E. S. Ljapin   Semigroup extensions of partial
                                  groupoids  . . . . . . . . . . . . . . . 205--217
             Klaus Madlener and   
                 Friedrich Otto   On groups having finite monadic
                                  Church--Rosser presentations . . . . . . 218--234
                 R. B. McFadden   Automated theorem proving applied to the
                                  theory of semigroups . . . . . . . . . . 235--243
                    Attila Nagy   Subdirectly irreducible we-2 semigroups
                                  with globally idempotent core  . . . . . 244--250
                 Jan Okni\'nski   Commutative monoid rings with Krull
                                  dimension  . . . . . . . . . . . . . . . 251--259


Lecture Notes in Mathematics
Volume 1321, 1988

                Dominique Bakry   La propriété de sous-harmonicité des
                                  diffusions dans les variétés. (French) []  1--50
               Yao Zhong Hu and   
        Paul-André Meyer   Chaos de Wiener et intégrale de Feynman.
                                  (French) []  . . . . . . . . . . . . . . 51--71
                   Y. Z. Hu and   
                    P.-A. Meyer   Sur les intégrales multiples de
                                  Stratonovitch. (French) [] . . . . . . . 72--81
                   Yao-Zhong Hu   Un nouvel exemple de distribution de
                                  Hida. (French) []  . . . . . . . . . . . 82--84
Juan Ruíz de Chávez   Une remarque sur les processus de
                                  Dirichlet forts. (French) [] . . . . . . 85--85
                    P.-A. Meyer   Quasimartingales hilbertiennes d'apr\`es
                                  Enchev. (French) []  . . . . . . . . . . 86--88
                     Jia-An Yan   A perturbation theorem for semigroups of
                                  linear operators . . . . . . . . . . . . 89--91
                     Jia-An Yan   A formula for densities of transition
                                  functions  . . . . . . . . . . . . . . . 92--100
                     Jia-An Yan   Éléments de Probabilités quantiques. IX.
                                  Calculs Antisymétriques et
                                  \flqqSupersymétriques\frqq en
                                  Probabilités. (French) [] . . . . . . . . 101--123
                     Jia-An Yan   Éléments de probabilités quantiques. X
                                  Calculs avec des noyaux discrets.
                                  (French) []  . . . . . . . . . . . . . . 124--128
              Maurizio Pratelli   Intégration stochastique et géométrie des
                                  espaces de Banach. (French) [] . . . . . 129--137
                    P.-A. Meyer   Une surmartingale limité de martingales
                                  continues. (French) [] . . . . . . . . . 138--140
                    P.-A. Meyer   Sur un théor\`eme de B. Rajeev. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 141--143
            Christophe Stricker   \`A propos d'une conjecture de Meyer.
                                  (French) []  . . . . . . . . . . . . . . 144--146
            Michel Émery   En cherchant une caractérisation
                                  variationnelle des martingales. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 147--154
             Hiroshi Kaneko and   
                 Shintaro Nakao   A note on approximation for stochastic
                                  differential equations . . . . . . . . . 155--162
                  P. McGill and   
                  B. Rajeev and   
                      B. V. Rao   Extending Lévy's characterisation of
                                  Brownian motion  . . . . . . . . . . . . 163--165
              P. J. Fitzsimmons   Penetration times and Skorohod stopping  166--174
           R. W. R. Darling and   
                    Yves Le Jan   The statistical equilibrium of an
                                  isotropic stochastic flow with negative
                                  Lyapounov exponents is trivial . . . . . 175--185
   Jean-François Le Gall   Sur les fonctions polaires pour le
                                  mouvement brownien. (French) []  . . . . 186--189


Lecture Notes in Mathematics
Volume 1322, 1988

        Gérard Ben Arous   Noyau de la chaleur hypoelliptique et
                                  géométrie sous-riemannienne. (French) []   1--16
            Masatoshi Fukushima   On two classes of smooth measures for
                                  symmetric Markov processes . . . . . . . 17--27
                Tadahisa Funaki   The hydrodynamical limit for scalar
                                  Ginzburg--Landau model on $R$  . . . . . 28--36
             Nobuyuki Ikeda and   
                 Shigeo Kusuoka   Short time asymptotics for fundamental
                                  solutions of diffusion equations . . . . 37--49
                   Kiyosi It\=o   Malliavin calculus on a Segal space  . . 50--72
              Yuji Kasahara and   
                 Makoto Maejima   Weak convergence of functionals of point
                                  processes on $ R^d $ . . . . . . . . . . 73--84
             Paul Malliavin and   
                  Y. Katznelson   Image des points critiques d'une
                                  application reguli\`ere. (French) [] . . 85--92
                 Shigeo Kusuoka   Degree theorem in certain Wiener
                                  Riemannian manifolds . . . . . . . . . . 93--108
     Rémi Léandre   Applications quantitatives et géométriques
                                  du calcul de Malliavin. (French) []  . . 109--133
                    Yves Le Jan   On the Fock space representation of
                                  occupations times for non reversible
                                  Markov processes . . . . . . . . . . . . 134--138
     Michel Métivier and   
                    Michel Viot   On weak solutions of stochastic partial
                                  differential equations . . . . . . . . . 139--150
        Paul-André Meyer   Une remarque sur les chaos de Wiener.
                                  (French) []  . . . . . . . . . . . . . . 151--155
                 Hiroshi Tanaka   Limit theorem for one-dimensional
                                  diffusion process in Brownian
                                  environment  . . . . . . . . . . . . . . 156--172
             Hideaki Uemura and   
                Shinzo Watanabe   Diffusion processes and heat kernels on
                                  certain nilpotent groups . . . . . . . . 173--197


Lecture Notes in Mathematics
Volume 1323, 1988

        Douglas R. Anderson and   
               Hans J. Munkholm   Category theoretic foundations . . . . . 1--39
        Douglas R. Anderson and   
               Hans J. Munkholm   The algebraic topology of boundedly
                                  controlled spaces  . . . . . . . . . . . 40--98
        Douglas R. Anderson and   
               Hans J. Munkholm   The geometric, boundedly controlled
                                  Whitehead group  . . . . . . . . . . . . 99--122
        Douglas R. Anderson and   
               Hans J. Munkholm   Free and projective rpg modules the
                                  algebraic Whitehead groups of rpg  . . . 123--175
        Douglas R. Anderson and   
               Hans J. Munkholm   The isomorphism between the geometric
                                  and algebraic Whitehead groups . . . . . 176--211
        Douglas R. Anderson and   
               Hans J. Munkholm   Boundedly controlled manifolds and the
                                  $s$-cobordism theorem  . . . . . . . . . 212--259
        Douglas R. Anderson and   
               Hans J. Munkholm   Toward computations  . . . . . . . . . . 260--300


Lecture Notes in Mathematics
Volume 1324, 1988

                       A. Bahri   Critical points at infinity in the
                                  variational calculus . . . . . . . . . . 1--29
        P. H. Bérard and   
                      G. Besson   On the number of bound states and
                                  estimates on some geometric invariants   30--40
      José Luiz Boldrini   Convergence of solutions of
                                  capillo-viscoelastic perturbations of
                                  the equations of elasticity  . . . . . . 41--52
           Eduardo Brietzke and   
                  Pedro Nowosad   Mathematical aspects of the minimum
                                  critical mass problem  . . . . . . . . . 53--64
                    Volker Enss   Asymptotic time evolutions for strictly
                                  outgoing multiparticle quantum systems
                                  with long-range potentials . . . . . . . 65--84
                Vieri Benci and   
               Donato Fortunato   A ``Birkhoff--Lewis'' type result for
                                  non autonomous differential equations    85--96
             Jean-Pierre Gossez   Nonresonance near the first eigenvalue
                                  of a second order elliptic problem . . . 97--104
       F. Alberto Grünbaum   Differential equations in the spectral
                                  parameter and multiphase similarity
                                  solutions  . . . . . . . . . . . . . . . 105--117
                      A. Haraux   Recent results on semi-linear hyperbolic
                                  problems in bounded domains  . . . . . . 118--126
              Howard Jacobowitz   Systems of homogeneous partial
                                  differential equations with few
                                  solutions  . . . . . . . . . . . . . . . 127--136
                     Alan Lazer   Introduction to multiplicity theory for
                                  boundary value problems with asymmetric
                                  nonlinearities . . . . . . . . . . . . . 137--165
                     Otto Liess   Regularity of solutions of Cauchy
                                  problems with smooth Cauchy data . . . . 166--177
                    H.-M. Maire   Necessary and sufficient condition for
                                  maximal hypoellipticity of $ \bar
                                  \partial_b $ . . . . . . . . . . . . . . 178--185
 Antônio S\`a Barreto and   
             Richard B. Melrose   Examples of non-discreteness for the
                                  interaction geometry of semilinear
                                  progressing waves in two space
                                  dimensions . . . . . . . . . . . . . . . 186--196
                Sigeru Mizohata   On the Cauchy problem for hyperbolic
                                  equations in $ C^\infty $ and Gevrey
                                  classes  . . . . . . . . . . . . . . . . 197--215
          Wolfgang Kerscher and   
                   Rainer Nagel   Positivity and stability for Cauchy
                                  problems with delay  . . . . . . . . . . 216--235
          Gustavo Perla Menzala   On the resonances and the inverse
                                  scattering problem for perturbed wave
                                  equations  . . . . . . . . . . . . . . . 236--244
                  Gustavo Ponce   The initial value problem for Euler and
                                  Navier--Stokes equations in $
                                  L_s^p(\mathbb {R}^2) $ . . . . . . . . . 245--252
             Paul H. Rabinowitz   Periodic solutions of prescribed energy
                                  of Hamiltonian systems . . . . . . . . . 253--262
              J.-C. Guillot and   
                 J. Ralston and   
                   E. Trubowitz   Semi-Classical approximations in solid
                                  state physics  . . . . . . . . . . . . . 263--269


Lecture Notes in Mathematics
Volume 1325, 1988

           Andrew Batchelor and   
                  Aubrey Truman   On first hitting times in stochastic
                                  mechanics  . . . . . . . . . . . . . . . 1--15
            M. van den Berg and   
                    J. T. Lewis   Limit theorems for stochastic processes
                                  associated with a boson gas  . . . . . . 16--23
            M. van den Berg and   
                J. T. Lewis and   
              J. V. Pulé   Large deviations and the boson gas . . . 24--39
                 Eric A. Carlen   Stochastic mechanics of free scalar
                                  fields . . . . . . . . . . . . . . . . . 40--60
             M. J. Chappell and   
                 K. D. Elworthy   Flows of Newtonian diffusions  . . . . . 61--75
             Richard Durran and   
                  Aubrey Truman   Planetesimal diffusions  . . . . . . . . 76--88
          Richard M. Durran and   
                  Aubrey Truman   Brownian motion on hypersurfaces and
                                  computer simulation  . . . . . . . . . . 89--100
                        Z. Haba   Supersymmetry and stochastic processes   101--112
                   R. L. Hudson   Algebraic theory of quantum diffusions   113--124
                     Yuri Kifer   A note on integrability of $ C^r $-norms
                                  of stochastic flows and applications . . 125--131
                     Yuri Kifer   A note on stochastic models with
                                  expanding transformations  . . . . . . . 132--140
                    J. T. Lewis   The large deviation principle in
                                  statistical mechanics: an expository
                                  account  . . . . . . . . . . . . . . . . 141--155
                    Paul McGill   Excursions from random boundaries  . . . 156--161
            Malcolm T. McGregor   A solution of the integral equation $
                                  \int_0^\infty {(\sin (\frac {\pi }{4} +
                                  \theta)e^{- \theta y} + \sin (\frac {\pi
                                  }{4} - \theta)e^{\theta y}) \pi (x, y)
                                  \, dy = \surd 2 cosh \theta x} $ in
                                  convolution form and a problem in
                                  diffusion theory . . . . . . . . . . . . 162--166
               Keith D. Watling   Formulæ for the heat kernel of an
                                  elliptic operator exhibiting small-time
                                  asymptotics  . . . . . . . . . . . . . . 167--180
             David Williams and   
                Nick Steele and   
                  Aubrey Truman   Stochastic mechanics for a point source  181--187
                    Kunio Yasue   Computer stochastic mechanics  . . . . . 188--204
                 J.-C. Zambrini   New probabilistic approach to the
                                  classical heat equation  . . . . . . . . 205--220


Lecture Notes in Mathematics
Volume 1326, 1988

             Peter S. Landweber   Elliptic genera: an introductory
                                  overview . . . . . . . . . . . . . . . . 1--10
           D. V. Chudnovsky and   
               G. V. Chudnovsky   Elliptic formal groups over $ \mathbb
                                  {Z} $ and $ F_p $ in applications to
                                  number theory, computer science and
                                  topology . . . . . . . . . . . . . . . . 11--54
             Peter S. Landweber   Elliptic cohomology and modular forms    55--68
             Peter S. Landweber   Supersingular elliptic curves and
                                  congruences for Legendre polynomials . . 69--93
                    Jack Morava   Some Weil group representations
                                  motivated by algebraic topology  . . . . 94--106
                 Serge Ochanine   Genres elliptiques équivariants. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 107--122
             Douglas C. Ravenel   Complex cobordism theory for number
                                  theorists  . . . . . . . . . . . . . . . 123--133
                Larry Smith and   
                    R. E. Stong   Dirichlet series and homology theory . . 134--149
              James D. Stasheff   Constrained Hamiltonians an introduction
                                  to homological algebra in field
                                  theoretical physics  . . . . . . . . . . 150--160
                  Edward Witten   The index of the Dirac operator in loop
                                  space  . . . . . . . . . . . . . . . . . 161--181
                     Noriko Yui   Jacobi quartics, Legendre polynomials
                                  and formal groups  . . . . . . . . . . . 182--215
                     Don Zagier   Note on the Landweber--Stong elliptic
                                  genus  . . . . . . . . . . . . . . . . . 216--224


Lecture Notes in Mathematics
Volume 1327, 1988

             Winfried Bruns and   
                     Udo Vetter   Preliminaries  . . . . . . . . . . . . . 1--9
             Winfried Bruns and   
                     Udo Vetter   Ideals of maximal minors . . . . . . . . 10--26
             Winfried Bruns and   
                     Udo Vetter   Generically perfect ideals . . . . . . . 27--37
             Winfried Bruns and   
                     Udo Vetter   Algebras with straightening law on
                                  posets of minors . . . . . . . . . . . . 38--49
             Winfried Bruns and   
                     Udo Vetter   The structure of an ASL  . . . . . . . . 50--63
             Winfried Bruns and   
                     Udo Vetter   Integrity and normality. The singular
                                  locus  . . . . . . . . . . . . . . . . . 64--72
             Winfried Bruns and   
                     Udo Vetter   Generic points and invariant theory  . . 73--92
             Winfried Bruns and   
                     Udo Vetter   The divisor class group and the
                                  canonical class  . . . . . . . . . . . . 93--104
             Winfried Bruns and   
                     Udo Vetter   Powers of ideals of maximal minors . . . 105--121
             Winfried Bruns and   
                     Udo Vetter   Primary decomposition  . . . . . . . . . 122--134
             Winfried Bruns and   
                     Udo Vetter   Representation theory  . . . . . . . . . 135--152
             Winfried Bruns and   
                     Udo Vetter   Principal radical systems  . . . . . . . 153--161
             Winfried Bruns and   
                     Udo Vetter   Generic modules  . . . . . . . . . . . . 162--173
             Winfried Bruns and   
                     Udo Vetter   The module of Kähler differentials  . . . 174--183
             Winfried Bruns and   
                     Udo Vetter   Derivations and rigidity . . . . . . . . 184--201
             Winfried Bruns and   
                     Udo Vetter   Appendix . . . . . . . . . . . . . . . . 202--218


Lecture Notes in Mathematics
Volume 1328, 1988

                       Pere Ara   Stable range of aleph-nought-continuous
                                  regular rings  . . . . . . . . . . . . . 1--7
           Mohamed A. Awami and   
               F. Van Oystaeyen   On filtered rings with Noetherian
                                  associated graded rings  . . . . . . . . 8--27
               Margaret Beattie   Duality theorems for group actions and
                                  gradings . . . . . . . . . . . . . . . . 28--32
                   H.-H. Brungs   Chain rings and valuations . . . . . . . 33--37
           Claudi Busqué   Directly finite $ \aleph_0$-complete
                                  regular rings are unit-regular . . . . . 38--49
                   S. Caenepeel   Cancellation theorems for projective
                                  graded modules . . . . . . . . . . . . . 50--59
                     G. Cauchon   Centraliseurs dans les anneaux de
                                  polynômes différentiels formels et leurs
                                  corps de fractions. (French) []  . . . . 60--68
             Ferran Cedó   Regular group algebras whose maximal
                                  right and left quotient rings coincide   69--74
                   Warren Dicks   A survey of recent work on the
                                  cohomology of one-relator associative
                                  algebras . . . . . . . . . . . . . . . . 75--81
         Hassane Essannouni and   
                     Amin Kaidi   Semiprime alternative rings with A.C.C.  82--93
J. L. García Hernández   Continuous and pf rings of quotients . . 94--105
       J. L. Gómez Pardo   Rings of quotients of endomorphism rings 106--121
     José A. Hermida and   
Tomás Sánchez-Giralda   Some criteria for solvability of systems
                                  of linear equations over modules . . . . 122--134
                Lieven Le Bruyn   Centers of generic division algebras and
                                  zeta- functions  . . . . . . . . . . . . 135--164
                  Martin Lorenz   Frobenius reciprocity and $ G_0 $ of
                                  skew group rings . . . . . . . . . . . . 165--172
                M.-P. Malliavin   Alg\`ebre homologique et opérateurs
                                  différentiels. (French) []  . . . . . . . 173--186
                     Pere Menal   Cancellation modules over regular rings  187--208
                 Jan Okni\'nski   Noetherian property for semigroup rings  209--218
  Dionisio Pérez Esteban   Semi-rings and spectral spaces . . . . . 219--226
               K. W. Roggenkamp   Some new progress on the
                                  isomorphismproblem for integral group
                                  rings  . . . . . . . . . . . . . . . . . 227--236


Lecture Notes in Mathematics
Volume 1329, 1988

               Claude Brezinski   Error estimate in Padé approximation  . . 1--19
               Alan Edelman and   
           Charles A. Micchelli   Orthogonal polynomials in monotone and
                                  convex interpolation . . . . . . . . . . 20--31
                 J. S. Geronimo   Polynomials orthogonal with respect to
                                  singular continuous measures . . . . . . 32--45
             Tom H. Koornwinder   Group theoretic interpretations of
                                  Askey's scheme of hypergeometric
                                  orthogonal polynomials . . . . . . . . . 46--72
                 Allan M. Krall   A review of orthogonal polynomials
                                  satisfying boundary value problems . . . 73--97
               L. L. Littlejohn   Orthogonal polynomial solutions to
                                  ordinary and partial differential
                                  equations  . . . . . . . . . . . . . . . 98--124
            G. López and   
                E. A. Rakhmanov   Rational approximations, orthogonal
                                  polynomials and equilibrium
                                  distributions  . . . . . . . . . . . . . 125--157
  Attila Máté and   
                     Paul Nevai   Factorization of second order difference
                                  equations and its application to
                                  orthogonal polynomials . . . . . . . . . 158--177
                   T. J. Rivlin   Gauss quadrature for analytic functions  178--192
             W. A. Al-Salam and   
                       A. Verma   On the Geronimus polynomial sets . . . . 193--202
            Paola Baratella and   
                Luigi Gatteschi   The bounds for the error term of an
                                  asymptotic approximation of Jacobi
                                  polynomials  . . . . . . . . . . . . . . 203--221
          E. Buendía and   
               J. S. Dehesa and   
            F. J. Gálvez   The distribution of zeros of the
                                  polynomial eigenfunctions of ordinary
                                  differential operators of arbitrary
                                  order  . . . . . . . . . . . . . . . . . 222--235
           M. A. Cachafeiro and   
            F. Marcellán   Orthogonal polynomials and jump
                                  modifications  . . . . . . . . . . . . . 236--240
              E. Hendriksen and   
                  H. van Rossum   Electrostatic interpretation of zeros    241--250
        Mourad E. H. Ismail and   
             Jean Letessier and   
                Galliano Valent   Associated dual Hahn polynomials . . . . 251--254
                G. López   Szeg\Ho's Theorem for polynomials
                                  orthogonal with respect to varying
                                  measures . . . . . . . . . . . . . . . . 255--260
             Alphonse P. Magnus   Associated Askey--Wilson polynomials as
                                  Laguerre--Hahn orthogonal polynomials    261--278
                  Pascal Maroni   Le calcul des formes linéaires et les
                                  polynômes orthogonaux semi-classiques.
                                  (French) []  . . . . . . . . . . . . . . 279--290
                    J. C. Mason   The $ L_p $ minimality and
                                  near-minimality of orthogonal polynomial
                                  approximation and integration methods    291--299
             Olav Njåstad   Orthogonal rational functions with poles
                                  in a finite subset of $R$  . . . . . . . 300--307


Lecture Notes in Mathematics
Volume 1330, 1988

                   Ivar Ekeland   Some variational problems arising from
                                  mathematical economics . . . . . . . . . 1--18
              Andreu Mas-Colell   Four lectures on the differentiable
                                  approach to general equilibrium theory   19--43
      José A. Scheinkman   Dynamic general equilibrium models ---
                                  Two examples . . . . . . . . . . . . . . 44--71
                   Shmuel Zamir   Topics in noncooperative game theory . . 72--128


Lecture Notes in Mathematics
Volume 1331, 1988

                 J. Billeke and   
                     M. Wallace   Bifurcationss of codimension one
                                  singularities of tangent vector fields
                                  on Whitney's umbrella  . . . . . . . . . 1--11
         M. Blázquez and   
                        E. Tuma   Hereroclinic bifurcation in Banach
                                  spaces . . . . . . . . . . . . . . . . . 12--37
                  M. I. Camacho   Quasi-homogeneous vector fields of
                                  degree $2$ in $ \mathbb {R}^3$ . . . . . 38--46
                      P. Collet   Hausdorff dimension of the singularities
                                  for invariant measures of expanding
                                  dynamical systems  . . . . . . . . . . . 47--58
            Étienne Ghys   Codimension on Anosov flows and
                                  suspensions  . . . . . . . . . . . . . . 59--72
        Carlos Gutiérrez   Foliations on surfaces having
                                  exceptional leaves . . . . . . . . . . . 73--85
     Ricardo Mañé   The Hausdorff dimension of invariant
                                  probabilities of rational maps . . . . . 86--117
                  Peter Miletta   Asymptotic behavior of solutions to
                                  abstract evolution equations . . . . . . 118--139
                      R. Moussu   Développement asymptotique de
                                  l'application retour d'un polycycle.
                                  (French) []  . . . . . . . . . . . . . . 140--149
                   J. Palis and   
                       M. Viana   On the continuity of Hausdorff dimension
                                  and limit capacity for horseshoes  . . . 150--160
                   R. Roussarie   A note on finite cyclicity property and
                                  Hilbert's 16th Problem . . . . . . . . . 161--168
               J. Sotomayor and   
                 M. A. Teixeira   Vector fields near the boundary of a
                                  $3$-manifold . . . . . . . . . . . . . . 169--195
                  Floris Takens   Limit capacity and Hausdorff dimension
                                  of dynamically defined Cantor sets . . . 196--212
                  Floris Takens   Intermittancy: Global aspects  . . . . . 213--239
              Enrique Tirapegui   Normal forms for deterministic and
                                  stochastic systems . . . . . . . . . . . 240--250


Lecture Notes in Mathematics
Volume 1332, 1988

              Haskell Rosenthal   On the Choquet representation theorem    1--32
                   Yves Raynaud   Extraction of almost symmetric
                                  subsequences in r.i. spaces  . . . . . . 33--42
                R. D. Neidinger   Concepts in the real interpolation of
                                  Banach spaces  . . . . . . . . . . . . . 43--53
           István Berkes   On almost i.i.d. subsequences of the
                                  trigonometric system . . . . . . . . . . 54--63
               W. Schachermayer   An example concerning strong regularity
                                  and points of continuity in Banach
                                  spaces . . . . . . . . . . . . . . . . . 64--79
                 S. Argyros and   
                   E. Odell and   
                   H. Rosenthal   On certain convex subsets of $ c_0 $ . . 80--111
                Dale E. Alspach   Complemented translation-invariant
                                  subspaces  . . . . . . . . . . . . . . . 112--125
                 D. Alspach and   
                       E. Odell   Averaging weakly null sequences  . . . . 126--144
                   Yuly Makovoz   On approximation numbers of the
                                  canonical embedding $ \ell_p^m \to
                                  \ell_q^m $ . . . . . . . . . . . . . . . 145--149
            Carol S. Schumacher   JH* had the C*PCP  . . . . . . . . . . . 150--155
              Haskell Rosenthal   $ L^1 $-Convexity  . . . . . . . . . . . 156--174
             S. J. Dilworth and   
                 T. J. Ransford   Spectra in quasi-Banach algebras . . . . 175--178
                David R. Larson   On similarity of nests in Hilbert space
                                  and in Banach spaces . . . . . . . . . . 179--194
               R. A. DeVore and   
               H. Kierstead and   
                  G. G. Lorentz   A proof of Borsuk's theorem  . . . . . . 195--202


Lecture Notes in Mathematics
Volume 1333, 1988

              Alain Louveau and   
             Jean Saint-Raymond   The strength of Borel Wadge determinacy  1--30
               Howard S. Becker   More closure properties of pointclasses  31--36
         Theodore A. Slaman and   
                  John R. Steel   Definable functions on degrees . . . . . 37--55
                  John R. Steel   Long games . . . . . . . . . . . . . . . 56--97
           Alexander S. Kechris   ``AD + uniformization'' is equivalent to
                                  ``half ad$_R$''  . . . . . . . . . . . . 98--102
           Alexander S. Kechris   A coding theorem for measures  . . . . . 103--109
           Alexander S. Kechris   Subsets of $ \aleph_1 $ constructible
                                  from a real  . . . . . . . . . . . . . . 110--116
                  Steve Jackson   Ad and the projective ordinals . . . . . 117--220


Lecture Notes in Mathematics
Volume 1334, 1988

              A. Yu. Borisovich   Plateau operator and bifurcations of
                                  two-dimensional minimal surfaces . . . . 1--20
          Yu. G. Borisovich and   
                  T. N. Fomenko   Homological methods in the theory of
                                  periodic and equivariant maps  . . . . . 21--41
                 B. A. Dubrovin   Theory of operators and real algebraic
                                  geometry . . . . . . . . . . . . . . . . 42--59
                  B. D. Gel'man   On the structure of the set of solutions
                                  for inclusions with multivalued
                                  operators  . . . . . . . . . . . . . . . 60--78
            I. S. Krasil'shchik   Schouten bracket and canonical algebras  79--110
                Yu. I. Sapronov   Multidimensional sleeping tops . . . . . 111--128
             B. Yu. Sternin and   
                 V. E. Shatalov   Laplace--Radon integral operators and
                                  singularities of solutions of
                                  differential equations on complex
                                  manifolds  . . . . . . . . . . . . . . . 129--156
                  V. G. Zvyagin   On the number of solutions for certain
                                  boundary-value problems  . . . . . . . . 157--172
                  V. I. Arnol'd   Contact structure, relaxation
                                  oscillations and singular points of
                                  implicit differential equations  . . . . 173--179
               N. M. Bliznyakov   Topological index estimates  . . . . . . 180--198
              Yu. G. Borisovich   Modern approach to the theory of
                                  topological characteristics of nonlinear
                                  operators I  . . . . . . . . . . . . . . 199--220
                  A. T. Fomenko   Qualitative geometrical theory of
                                  integrable systems. Classification of
                                  isoenergetic surfaces and bifurcation of
                                  Liouville tori at the critical energy
                                  values . . . . . . . . . . . . . . . . . 221--245
                Yu. E. Gliklikh   Geometrical aspects of Nelson's
                                  stochastic quantization  . . . . . . . . 246--268
             B. Yu. Sternin and   
                 V. E. Shatalov   Singularities of solutions of
                                  differential equations on complex
                                  manifolds (characteristical case)  . . . 269--293
                A. N. Varchenko   Image of period mapping for simple
                                  singularities  . . . . . . . . . . . . . 294--308
              A. M. Vershik and   
             V. Ya. Gershkovich   The geometry of the nonholonomic sphere
                                  for three-dimensional Lie group  . . . . 309--331


Lecture Notes in Mathematics
Volume 1335, 1988

              F. Guillén   Hyperrésolutions cubiques. (French)
                                  [Cubic hyperresolutions] . . . . . . . . 1--42
              P. Pascual Gainza   Théor\`emes sur la monodromie. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 43--58
              F. Guillén   Descente cubique de la cohomologie de de
                                  Rham algébrique. (French) []  . . . . . . 59--86
                      F. Puerta   Applications des hyperrésolutions
                                  cubiques \`a la théorie de Hodge.
                                  (French) []  . . . . . . . . . . . . . . 87--132
               V. Navarro Aznar   Théor\`emes d'annulation. (French)
                                  [Cancellation theorems]  . . . . . . . . 133--160
              P. Pascual Gainza   Descente cubique pour la $K$-théorie des
                                  faisceaux cohérents et l'homologie de
                                  Chow. (French) []  . . . . . . . . . . . 161--188


Lecture Notes in Mathematics
Volume 1336, 1988

                Bernard Helffer   Generalities on semi-classical analysis  1--6
                Bernard Helffer   B.K.W. Construction for a potential near
                                  the bottom in the case of non-degenerate
                                  minima . . . . . . . . . . . . . . . . . 7--18
                Bernard Helffer   The decay of the eigenfunctions  . . . . 19--29
                Bernard Helffer   Study of interaction between the wells   30--60
                Bernard Helffer   An introduction to recent results of
                                  Witten . . . . . . . . . . . . . . . . . 61--70
                Bernard Helffer   On Schrödinger operators with periodic
                                  electric potentials  . . . . . . . . . . 71--78
                Bernard Helffer   On Schrödinger operators with magnetic
                                  fields . . . . . . . . . . . . . . . . . 79--99
                Bernard Helffer   Front Matter . . . . . . . . . . . . . . ??
                Bernard Helffer   Back Matter  . . . . . . . . . . . . . . ??


Lecture Notes in Mathematics
Volume 1337, 1988

                    F. Catanese   Moduli of algebraic surfaces . . . . . . 1--83
                     Ron Donagi   The Schottky problem . . . . . . . . . . 84--137
                  John L. Harer   The cohomology of the moduli space of
                                  curves . . . . . . . . . . . . . . . . . 138--221
                  Steve Jackson   Front Matter . . . . . . . . . . . . . . ??


Lecture Notes in Mathematics
Volume 1338, 1988

       Angelo B. Mingarelli and   
          S. Gotskalk Halvorsen   Non-oscillation domains of differential
                                  equations with two parameters  . . . . . i--i
       Angelo B. Mingarelli and   
          S. Gotskalk Halvorsen   Scalar linear ordinary differential
                                  equations  . . . . . . . . . . . . . . . 1--48
       Angelo B. Mingarelli and   
          S. Gotskalk Halvorsen   Linear vector ordinary differential
                                  equations  . . . . . . . . . . . . . . . 49--78
       Angelo B. Mingarelli and   
          S. Gotskalk Halvorsen   Scalar Volterra--Stieltjes integral
                                  equations  . . . . . . . . . . . . . . . 79--100


Lecture Notes in Mathematics
Volume 1339, 1988

            Michael T. Anderson   $ L^2 $ harmonic forms on complete
                                  Riemannian manifolds . . . . . . . . . . 1--19
           Shigetoshi Bando and   
              Ryoichi Kobayashi   Ricci-flat Kähler metrics on affine
                                  algebraic manifolds  . . . . . . . . . . 20--31
           Gérard Besson   On the multiplicy of the eigenvalues of
                                  the Laplacian  . . . . . . . . . . . . . 32--53
                Peter Buser and   
                Marc Burger and   
                  Jozef Dodziuk   Riemann surfaces of large genus and
                                  large $ \lambda_1 $  . . . . . . . . . . 54--63
                    Peter Buser   Cayley graphs and planar isospectral
                                  domains  . . . . . . . . . . . . . . . . 64--77
                Peter Buser and   
                 Detlef Gromoll   On the almost negatively curved
                                  $3$-sphere . . . . . . . . . . . . . . . 78--85
           Jean-Pierre Demailly   Vanishing theorems for tensor powers of
                                  a positive vector bundle . . . . . . . . 86--105
                Harold Donnelly   Decay of eigenfunctions on Riemannian
                                  manifolds  . . . . . . . . . . . . . . . 106--117
                   Ichiro Enoki   Stability and negativity for tangent
                                  sheaves of minimal Kähler spaces  . . . . 118--126
               Akito Futaki and   
                Toshiki Mabuchi   An obstruction class and a
                                  representation of holomorphic
                                  automorphisms  . . . . . . . . . . . . . 127--141
                 Masahiko Kanai   Tensorial ergodicity of geodesic flows   142--157
                  Atsushi Kasue   Harmonic functions with growth
                                  conditions on a manifold of
                                  asymptotically nonnegative curvature I   158--181
                Atsushi Katsuda   Density theorems for closed orbits . . . 182--202
             Werner Müller   $ L^2 $-Index and resonances . . . . . . 203--211
                     Shin Ozawa   Approximation of Green's function in a
                                  region with many obstacles . . . . . . . 212--225
              Ken-ichi Sugiyama   Lower bounds of the essential spectrum
                                  of the Laplace--Beltrami operator and
                                  its application to complex geometry  . . 226--247
               Toshikazu Sunada   Fundamental groups and Laplacians  . . . 248--277


Lecture Notes in Mathematics
Volume 1340, 1988

                 Alberto Arosio   Global solvability of second order
                                  evolution equations in Banach scales . . 1--10
    Hugo Beirão da Veiga   On the incompressible limit of the
                                  compressible Navier--Stokes equations    11--22
                E. Bernardi and   
                    A. Bove and   
                     C. Parenti   On a class of hyperbolic operators with
                                  double characteristics . . . . . . . . . 23--30
              Giuseppe Buttazzo   Relaxation problems in control theory    31--39
                    Robert Finn   The inclination of an $H$-graph  . . . . 40--60
             Paul R. Garabedian   On the mathematical theory of vortex
                                  sheets . . . . . . . . . . . . . . . . . 61--69
                Nicola Garofalo   New estimates of the fundamental
                                  solution and Wiener's criterion for
                                  parabolic equations with variable
                                  coefficients . . . . . . . . . . . . . . 70--83
         Maria Giovanna Garroni   Green function and invariant density for
                                  an integro-differential operator . . . . 84--94
              Mariano Giaquinta   Some remarks on the regularity of
                                  minimizers . . . . . . . . . . . . . . . 95--103
                  Enrico Giusti   Quadratic functionals with splitting
                                  coefficients . . . . . . . . . . . . . . 104--114
                Robert Gulliver   Minimal surfaces of finite index in
                                  manifolds of positive scalar curvature   115--122
               Robert Hardt and   
         David Kinderlehrer and   
                Mitchell Luskin   Remarks about the mathematical theory of
                                  liquid crystals  . . . . . . . . . . . . 123--138
                   Erhard Heinz   On quasi-minimal surfaces  . . . . . . . 139--145
             Peter Laurence and   
            Edward Stredulinsky   A survey of recent regularity results
                                  for second order queer differential
                                  equations  . . . . . . . . . . . . . . . 146--159
             Chang-Shou Lin and   
                    Wei-Ming Ni   On the diffusion coefficient of a
                                  semilinear Neumann problem . . . . . . . 160--174
               Marco Longinetti   Some isoperimetric inequalities for the
                                  level curves of capacity and Green's
                                  functions on convex plane domains  . . . 175--192
             Pierangelo Marcati   Nonhomogeneous quasilinear hyperbolic
                                  systems: Initial and boundary value
                                  problem  . . . . . . . . . . . . . . . . 193--200
                 Elvira Mascolo   Existence results for non convex
                                  problems of the calculus of variations   201--207
                  Umberto Mosco   Wiener criteria and variational
                                  convergences . . . . . . . . . . . . . . 208--238
                Louis Nirenberg   Fully nonlinear second order elliptic
                                  equations  . . . . . . . . . . . . . . . 239--247


Lecture Notes in Mathematics
Volume 1341, 1988

                  Monique Dauge   Introduction . . . . . . . . . . . . . . 2--7
                  Monique Dauge   Preliminaries  . . . . . . . . . . . . . 8--24
                  Monique Dauge   Fredholm and semi-Fredholm results . . . 26--57
                  Monique Dauge   Proofs . . . . . . . . . . . . . . . . . 58--103
                  Monique Dauge   Two-dimensional domains  . . . . . . . . 104--127
                  Monique Dauge   Singularities along the edges  . . . . . 128--152
                  Monique Dauge   Laplace operator . . . . . . . . . . . . 153--170
                  Monique Dauge   Variational boundary value problems on
                                  smooth domains . . . . . . . . . . . . . 172--185
                  Monique Dauge   Variational boundary value problems on
                                  polyhedral domains . . . . . . . . . . . 186--212


Lecture Notes in Mathematics
Volume 1342, 1988

            J. C. Alexander and   
                  William Parry   Discerning fat Baker's transformations   1--6
           Vitaly Bergelson and   
              Daniel J. Rudolph   Weakly mixing actions of $ F^\infty $
                                  have infinite subgroup actions which are
                                  Bernoulli  . . . . . . . . . . . . . . . 7--22
                       M. Boyle   Nasu's simple automorphisms  . . . . . . 23--32
                 Mike Boyle and   
               Wolfgang Krieger   Almost Markov and shift equivalent sofic
                                  systems  . . . . . . . . . . . . . . . . 33--93
                       Hsin Chu   A note on the existence of periodic
                                  solutions of a differential system . . . 94--99
             Ethan M. Coven and   
                   Irene Mulvey   The Barge--Martin decomposition theorem
                                  for pointwise nonwandering maps of the
                                  interval . . . . . . . . . . . . . . . . 100--104
          Robert L. Devaney and   
                     Linda Keen   Dynamics of tangent  . . . . . . . . . . 105--111
               Victor J. Donnay   Geodesic flow on the two-sphere part II:
                                  Ergodicity . . . . . . . . . . . . . . . 112--153
              Stanley Eigen and   
                  Arshag Hajian   Poincaré sequences in infinite measure
                                  spaces and complementing subsets of the
                                  integers . . . . . . . . . . . . . . . . 154--157
             David B. Ellis and   
             Michael G. Branton   Non-self-similar attractors of
                                  hyperbolic iterated function systems . . 158--171
                   R. Ellis and   
                    M. Nerurkar   Enveloping semigroup in ergodic theory
                                  and a proof of Moore's ergodicity
                                  theorem  . . . . . . . . . . . . . . . . 172--179
                L. Flaminio and   
                 R. J. Spatzier   Ratner's rigidity theorem for
                                  geometrically finite Fuchsian groups . . 180--195
                    David Fried   Counting circles . . . . . . . . . . . . 196--215
               Robert H. Gilman   Periodic behavior of linear automata . . 216--219
              Celso Grebogi and   
            Helena E. Nusse and   
                 Edward Ott and   
                 James A. Yorke   Basic sets: Sets that determine the
                                  dimension of basin boundaries  . . . . . 220--250
          Toshihiro Hamachi and   
                  Masakazu Nasu   Topological conjugacy for $1$-block
                                  factor maps of subshifts and sofic
                                  covers . . . . . . . . . . . . . . . . . 251--260
            Jane M. Hawkins and   
            E. A. Robinson, Jr.   Approximately transitive $ (2) $ flows
                                  and transformations have simple spectrum 261--280
            Jane M. Hawkins and   
                 Cesar E. Silva   Remarks on recurrence and orbit
                                  equivalence of nonsingular endomorphisms 281--290
                  Steven Hurder   Ergodic theory of foliations and a
                                  theorem of Sacksteder  . . . . . . . . . 291--328
                Edwin Ihrig and   
            Douglas McMahon and   
                      Ta-Sun Wu   Distal flows of non Abelian groups with
                                  finite codimension . . . . . . . . . . . 329--341


Lecture Notes in Mathematics
Volume 1343, 1988

                   Hanno Ulrich   Introduction . . . . . . . . . . . . . . 1--6
                   Hanno Ulrich   Preliminaries on group actions . . . . . 7--20
                   Hanno Ulrich   Equivariant vertical Euclidean
                                  neighbourhood retracts . . . . . . . . . 21--59
                   Hanno Ulrich   The fixed point index of equivariant
                                  vertical maps  . . . . . . . . . . . . . 61--136


Lecture Notes in Mathematics
Volume 1344, 1988

                   Alano Ancona   Positive harmonic functions and
                                  hyperbolicity  . . . . . . . . . . . . . 1--23
                   N. Boboc and   
                      Gh. Bucur   Order and convexity in potential theory  24--41
                  Kai-Lai Chung   Probability methods in potential theory  42--54
                   Eugene Fabes   Layer potential methods for boundary
                                  value problems on Lipschitz domains  . . 55--80
                   Bent Fuglede   Fine potential theory  . . . . . . . . . 81--97
                Wolfhard Hansen   Balayage spaces --- a natural setting
                                  for potential theory . . . . . . . . . . 98--117
                     Ilpo Laine   Axiomatic non-linear potential theories  118--132
                   E. M. Landis   Application of the potential theory to
                                  the study of qualitative properties of
                                  solutions of the elliptic and parabolic
                                  equations  . . . . . . . . . . . . . . . 133--153
                 Makoto Ohtsuka   Weighted extremal length and Beppo Levi
                                  functions  . . . . . . . . . . . . . . . 154--161
                    G. F. Roach   An introduction to iterative techniques
                                  for potential problems . . . . . . . . . 162--180
                  G. Wildenhain   Potential theory methods for higher
                                  order elliptic equations . . . . . . . . 181--195
       José L. Fernandez   Problems on distortion under conformal
                                  mappings . . . . . . . . . . . . . . . . 198--198
                   Bent Fuglede   On the Riesz representation of finely
                                  superharmonic functions  . . . . . . . . 199--201
                  Juha Heinonen   Nonlinear elliptic measures  . . . . . . 202--204
                   Mamoru Kanda   Problems on a relation between measures
                                  and corresponding potentials . . . . . . 205--206
                Bernhard Kawohl   Open problems connected with level sets
                                  of harmonic functions  . . . . . . . . . 207--210
                 D. G. Keselman   On the extremal boundary of convex
                                  compact measures which represent a
                                  non-regular point in Choquet simplex . . 211--213
                 D. G. Keselman   The problem of construction of the
                                  harmonic space based on Choquet simplex  214--215
                 D. G. Keselman   The problem on quasi-interior in Choquet
                                  simplexes  . . . . . . . . . . . . . . . 216--219
              Josef Král   Boundary regularity and
                                  potential-theoretic operators  . . . . . 220--222


Lecture Notes in Mathematics
Volume 1345, 1988

            J. C. Alexander and   
              Alberto Verjovsky   First integrals for singular holomorphic
                                  foliations with leaves of bounded volume 1--10
              Bodil Branner and   
                  Adrien Douady   Surgery on complex polynomials . . . . . 11--72
                        F. Cano   Dicriticalness of a singular foliation   73--94
                  Marc Chaperon   Invariant manifolds and a preparation
                                  lemma for local holomorphic flows and
                                  actions  . . . . . . . . . . . . . . . . 95--110
          Aziz El Kacimi Alaoui   Stabilité des $V$-variétés kähleriennes.
                                  (French) []  . . . . . . . . . . . . . . 111--123
                    David Fried   Cyclic resultants of reciprocal
                                  polynomials  . . . . . . . . . . . . . . 124--128
   Xavier Gómez-Mont and   
     Jesús Muciño   Persistent cycles for holomorphic
                                  foliations having a meromorphic first
                                  integral . . . . . . . . . . . . . . . . 129--162
                  E. Gutkin and   
                       A. Katok   Weakly mixing billiards  . . . . . . . . 163--176
         Ernesto A. Lacomba and   
               Guillermo Sienra   Blow up techniques in the Kepler problem 177--191
              Alcides Lins Neto   Algebraic solutions of polynomial
                                  differential equations and foliations in
                                  dimension two  . . . . . . . . . . . . . 192--232
Santiago López de Medrano   The space of Siegel leaves of a
                                  holomorphic vector field . . . . . . . . 233--245
            Genevi\`eve Pourcin   Deformations of singular holomorphic
                                  foliations on reduced compact $ \mathbb
                                  {C} $-analytic spaces  . . . . . . . . . 246--255
            Dr. K. Reichard and   
           Prof. Dr. K. Spallek   Product singularities and quotients  . . 256--270
         Hans-Jörg Reiffen   Leafspaces and integrability . . . . . . 271--293
Federico Sánchez-Bringas   Structural stability of germs of vector
                                  fields on surfaces with a simple
                                  singularity  . . . . . . . . . . . . . . 294--301
             Ana Maria F. Silva   Atiyah sequences and complete closed
                                  pseudogroups preserving a local
                                  parallelism  . . . . . . . . . . . . . . 302--316
                        R. Thom   Sur les bouts d'une feuille d'un
                                  feuilletage au voisinage d'un point
                                  singulier isolé. (French) []  . . . . . . 317--321


Lecture Notes in Mathematics
Volume 1346, 1988

                  V. I. Arnol'd   On some problems in symplectic topology  1--5
              Ya. M. Eliashberg   The structure of $1$-dimensional wave
                                  fronts, non-standard Legendrian loops
                                  and Bennequin's theorem  . . . . . . . . 7--12
            B. L. Fe\u\igin and   
                D. B. Fuchs and   
                   V. S. Retakh   Massey operations in the cohomology of
                                  the infinite dimensional Lie algebra $
                                  L_1 $  . . . . . . . . . . . . . . . . . 13--31
                A. L. Fel'shtyn   New zeta functions for dynamical systems
                                  and Nielsen fixed point theory . . . . . 33--55
                  A. T. Fomenko   Invariant portrait of Hamiltonian
                                  integrable in Liouville sense  . . . . . 57--76
             V. Ya. Gershkovich   On normal form of distribution jets  . . 77--98
                  S. P. Novikov   Analytical theory of homotopy groups . . 99--112
               Ya. B. Pesin and   
                Ya. G. Sina\u\i   On stable manifolds for class of
                                  two-dimensional diffeomorphisms  . . . . 113--125
                    O. Ya. Viro   Some integral calculus based on Euler
                                  characteristic . . . . . . . . . . . . . 127--138
               A. G. Chernjakov   Obstructions to the existence of free
                                  nonholonomic structure on a smooth
                                  manifold . . . . . . . . . . . . . . . . 139--156
             S. M. Finashin and   
                   M. Kreck and   
                    O. Ya. Viro   Non-diffeomorphic but homeomorphic
                                  knottings of surfaces in the $4$-sphere  157--198
                   N. V. Ivanov   Automorphisms of Teichmüller modular
                                  groups . . . . . . . . . . . . . . . . . 199--270
                   V. G. Turaev   Classification of oriented Montesinos
                                  links via spin structures  . . . . . . . 271--289
                   V. G. Turaev   Towards the topological classification
                                  of geometric $3$-manifolds . . . . . . . 291--323
                   A. V. \vZubr   Classification of simply-connected
                                  topological $6$-manifolds  . . . . . . . 325--339
                   D. A. Gudkov   Plane real projective quartic curves . . 341--347
                V. M. Kharlamov   Nonamphicheiral surfaces of degree $4$
                                  in $ \mathbb {R}P^3$ . . . . . . . . . . 349--356
            V. M. Kharlamov and   
                    O. Ya. Viro   Extensions of the Gudkov--Rohlin
                                  congruence . . . . . . . . . . . . . . . 357--406
                A. B. Korchagin   Isotopy classification of plane seventh
                                  degree curves with the only singular
                                  point $ Z_{15} $ . . . . . . . . . . . . 407--426
              N. Yu. Netsvetaev   Incomplete intersections and
                                  degenerations of complete intersections  427--432


Lecture Notes in Mathematics
Volume 1347, 1988

                  Chris Preston   Introduction . . . . . . . . . . . . . . 1--19
                  Chris Preston   Piecewise monotone mappings  . . . . . . 20--33
                  Chris Preston   Proof of Theorems 2.4 and 2.5  . . . . . 34--40
                  Chris Preston   Sinks and homtervals . . . . . . . . . . 41--49
                  Chris Preston   Examples of register-shifts  . . . . . . 50--56
                  Chris Preston   A proof of Parry's theorem (Theorem 2.6) 57--67
                  Chris Preston   Reductions . . . . . . . . . . . . . . . 68--81
                  Chris Preston   The structure of the set $ D(f) $  . . . 82--102
                  Chris Preston   Countable closed invariant sets  . . . . 103--111
                  Chris Preston   Extensions . . . . . . . . . . . . . . . 112--125
                  Chris Preston   Refinements  . . . . . . . . . . . . . . 126--134
                  Chris Preston   Mappings with one turning point  . . . . 135--152
                  Chris Preston   Some miscellaneous results from real
                                  analysis . . . . . . . . . . . . . . . . 153--159


Lecture Notes in Mathematics
Volume 1348, 1988

           J. Adámek and   
          J. Rosický and   
              V. Trnková   Are all limit-closed subcategories of
                                  locally presentable categories
                                  reflective?  . . . . . . . . . . . . . . 1--18
                   Michael Barr   On categories with effective unions  . . 19--35
            Francis Borceux and   
            Joan Wick Pelletier   Descent theory for Banach modules  . . . 36--54
                Dominique Bourn   Pseudofunctors and non-abelian weak
                                  equivalences . . . . . . . . . . . . . . 55--71
              A. M. Cegarra and   
        A. R. Garzón and   
                    P. Carrasco   An exact sequence in the first variable
                                  for non-abelian cohomology in algebraic
                                  categories. A Mayer--Vietoris sequence
                                  for non-abelian cohomology of groups . . 72--86
                     Yves Diers   Locally Hilbert categories . . . . . . . 87--101
              Iole F. Druck and   
               Gonzalo E. Reyes   Sur la convergence de suites de
                                  fonctions suivant des filtres. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 102--106
                 John W. Duskin   The Azumaya complex of a commutative
                                  ring . . . . . . . . . . . . . . . . . . 107--117
              L. Español   The spectrum lattice of Baer rings and
                                  polynomials  . . . . . . . . . . . . . . 118--124
                    Felipe Gago   Morse germs in S.D.G.  . . . . . . . . . 125--129
                S. Ghilardi and   
                   G. C. Meloni   Modal and tense predicate logic: Models
                                  in presheaves and categorical
                                  conceptualization  . . . . . . . . . . . 130--142
                 Horst Herrlich   On the representability of partial
                                  morphisms in top and in related
                                  constructs . . . . . . . . . . . . . . . 143--153
                  J. Isbell and   
         I. K\vrí\vz and   
                   A. Pultr and   
              J. Rosický   Remarks on localic groups  . . . . . . . 154--172
            Peter Johnstone and   
                    Shu-Hao Sun   Weak products and Hausdorff locales  . . 173--193
                    Anders Kock   Generalized fibre bundles  . . . . . . . 194--207
          Jürgen Koslowski   Closure operators with prescribed
                                  properties . . . . . . . . . . . . . . . 208--220
                      J. Lambek   On the unity of algebra and logic  . . . 221--229
                  A. Lirola and   
                E. R. Aznar and   
                    M. Bullejos   The cohomology groups of an epimorphism  230--241
              Saunders Mac Lane   Decker's sharper Künneth formula  . . . . 242--256
                  M.-M. Mawanda   On a categorical analysis of Zadeh
                                  generalized subsets of sets I  . . . . . 257--269


Lecture Notes in Mathematics
Volume 1349, 1988

                    Erich Novak   Introduction . . . . . . . . . . . . . . 1--8
                    Erich Novak   Deterministic error bounds . . . . . . . 9--42
                    Erich Novak   Error bounds for Monte Carlo methods . . 43--65
                    Erich Novak   Average error bounds . . . . . . . . . . 66--89


Lecture Notes in Mathematics
Volume 1350, 1988

             Hugh M. Hilden and   
 María Teresa Lozano and   
José María Montesinos   On the universal group of the Borromean
                                  rings  . . . . . . . . . . . . . . . . . 1--13
                   Gyo Taek Jin   On Kojima's $ \eta $-function of links   14--30
                   Paul A. Kirk   Link maps in the four sphere . . . . . . 31--43
               Ulrich Koschorke   Multiple point invariants of link maps   44--86
                   J. P. Levine   The $ \bar \mu $-invariants of based
                                  links  . . . . . . . . . . . . . . . . . 87--103
         W. B. R. Lickorish and   
                  K. C. Millett   An evaluation of the $F$-polynomial of a
                                  link . . . . . . . . . . . . . . . . . . 104--108
          Walter D. Neumann and   
                    Lee Rudolph   The enhanced Milnor number in higher
                                  dimensions . . . . . . . . . . . . . . . 109--121
                   Claude Weber   A topological interpretation for the
                                  polar quotients of an algebraic plane
                                  curve singularity  . . . . . . . . . . . 122--143
                J. Scott Carter   Surgering the equatorial immersion in
                                  law dimensions . . . . . . . . . . . . . 144--166
             Daniel H. Gottlieb   On the index of pullback vector fields   167--170
                  U. Kaiser and   
                       B. H. Li   Enumeration of immersions of
                                  $m$-manifolds in $ (2 m - 2)$-manifolds
                                  by the singularity method  . . . . . . . 171--187
               Ulrich Koschorke   The singularity method and immersions of
                                  $m$-manifolds into manifolds of
                                  dimensions $ 2 m - 2$, $ 2 m - 3$ and $
                                  2 m - 4$ . . . . . . . . . . . . . . . . 188--212
                  Duane Randall   On indices of tangent fields with finite
                                  singularities  . . . . . . . . . . . . . 213--240
       Jean-Claude Hausmann and   
                   Pierre Vogel   Manifold categories of Poincaré duality
                                  spaces . . . . . . . . . . . . . . . . . 241--258
           Friedrich Hegenbarth   On the $K$-theory of the classifying
                                  spaces of the general linear groups over
                                  finite fields  . . . . . . . . . . . . . 259--265
             Arunas Liulevicius   A reciprocity law for symmetric products
                                  of $G$-sets  . . . . . . . . . . . . . . 266--269


Lecture Notes in Mathematics
Volume 1351, 1988

             G. D. Anderson and   
         M. K. Vamanamurthy and   
                    M. Vuorinen   Inequalities for the extremal distortion
                                  function . . . . . . . . . . . . . . . . 1--11
        Cabiria Andreian Cazacu   Complete Klein coverings of Klein
                                  surfaces of characteristic $0$. I  . . . 12--22
         Vladislav V. Aseev and   
         Anatoli\u\i V. Sy\vcev   Quasiconformal extension of plane
                                  quasi-Möbius embeddings . . . . . . . . . 23--27
            Rauno Aulaskari and   
                   Peter Lappan   Some integral conditions involving the
                                  spherical derivative . . . . . . . . . . 28--37
             Ilie Bârz\ua   The dianalytic morphisms of the Klein
                                  bottles  . . . . . . . . . . . . . . . . 38--51
                    B. Bojarski   Remarks on Sobolev imbedding
                                  inequalities . . . . . . . . . . . . . . 52--68
                M. A. Bracalova   A generalization of the Teichmüller
                                  theorem  . . . . . . . . . . . . . . . . 69--77
              R. H. Cameron and   
                 D. A. Storvick   Unbounded Feynman integrable functionals
                                  defined in terms of analytic functions   78--92
          Robert L. Devaney and   
                     Linda Keen   Dynamics of maps with constant
                                  Schwarzian derivative  . . . . . . . . . 93--100
                    Timo Erkama   Rational Riemann maps  . . . . . . . . . 101--109
             Jacqueline Ferrand   A characterization of quasiconformal
                                  mappings by the behaviour of a function
                                  of three points  . . . . . . . . . . . . 110--123
                  Jaroslav Fuka   On a class of univalent functions  . . . 124--139
              Janusz Godula and   
                    Maria Nowak   Integral means of $ \alpha $-strongly
                                  starlike functions . . . . . . . . . . . 140--145
      H\`a Huy Khoái and   
                  My Vinh Quang   On $p$-adic Nevanlinna theory  . . . . . 146--158
                   W. K. Hayman   Ahlfors' theorem on asymptotic values
                                  and some developments from it  . . . . . 159--168
               Dennis A. Hejhal   Regular $b$-groups and repeated Dehn
                                  twists . . . . . . . . . . . . . . . . . 169--192
                David A. Herron   Metric boundary conditions for plane
                                  domains  . . . . . . . . . . . . . . . . 193--200
                  Teruo Ikegami   Compactifications of harmonic spaces and
                                  Hunt processes . . . . . . . . . . . . . 201--213
                  Wolfram Koepf   Convex functions and the Nehari
                                  univalence criterion . . . . . . . . . . 214--218
                 Tapani Kuusalo   A Green formula with multiplicities  . . 219--222


Lecture Notes in Mathematics
Volume 1352, 1988

       Jörgen Backelin and   
         Jürgen Herzog and   
                Herbert Sanders   Matrix factorizations of homogeneous
                                  polynomials  . . . . . . . . . . . . . . 1--33
                   L. A. Bokut'   Some new results in the combinatorial
                                  theory of rings and groups . . . . . . . 34--43
               K. Buzási   On representations of infinite groups    44--59
           James A. Carlson and   
                 Domingo Toledo   Integral manifolds, harmonic mappings,
                                  and the Abelian subspace problem . . . . 60--74
                     P. M. Cohn   Valuations on Ree fields . . . . . . . . 75--87
                    E. S. Golod   Standard bases and homology  . . . . . . 88--95
        Tadeusz Józefiak   Semisimple superalgebras . . . . . . . . 96--113
         A. N. Krasil'nikov and   
               A. L. \vSmel'kin   On the laws of finite dimensional
                                  representations of solvable Lie algebras
                                  and groups . . . . . . . . . . . . . . . 114--129
                 G. A. Margulis   Lie groups and ergodic theory  . . . . . 130--146
                  B. I. Plotkin   Galois theory of databases . . . . . . . 147--161
                   Amitai Regev   On the codimensions of matrix algebras   162--172
                  Jan-Erik Roos   Homology of free loop spaces, cyclic
                                  homology and non-rational Poincaré--Betti
                                  series in commutative algebra  . . . . . 173--189
       A. Tietäväinen   Incomplete sums and two applications of
                                  Deligne's result . . . . . . . . . . . . 190--205
             A. E. Zalesski\u\i   Eigenvalues of matrices of complex
                                  representations of finite groups of Lie
                                  type . . . . . . . . . . . . . . . . . . 206--218
                    Guido Zappa   Normal fitting classes of groups and
                                  generalizations  . . . . . . . . . . . . 219--226
                E. I. Zel'manov   On the nilpotency of nil algebras  . . . 227--240


Lecture Notes in Mathematics
Volume 1353, 1988

          Richard S. Palais and   
               Chuu-liang Terng   Preliminaries  . . . . . . . . . . . . . 3--24
          Richard S. Palais and   
               Chuu-liang Terng   Local geometry of submanifolds . . . . . 25--42
          Richard S. Palais and   
               Chuu-liang Terng   Weingarten Surfaces in three dimensional
                                  space forms  . . . . . . . . . . . . . . 43--64
          Richard S. Palais and   
               Chuu-liang Terng   Focal points . . . . . . . . . . . . . . 65--71
          Richard S. Palais and   
               Chuu-liang Terng   Transformation groups  . . . . . . . . . 72--105
          Richard S. Palais and   
               Chuu-liang Terng   Isoparametric submanifolds . . . . . . . 106--139
          Richard S. Palais and   
               Chuu-liang Terng   Proper Fredholm submanifolds in Hilbert
                                  spaces . . . . . . . . . . . . . . . . . 140--149
          Richard S. Palais and   
               Chuu-liang Terng   Topology of isoparametric submanifolds   150--177
          Richard S. Palais and   
               Chuu-liang Terng   Elementary critical point theory . . . . 181--222
          Richard S. Palais and   
               Chuu-liang Terng   Advanced critical point theory . . . . . 223--232
          Richard S. Palais and   
               Chuu-liang Terng   The calculus of variations . . . . . . . 233--259
          Richard S. Palais and   
               Chuu-liang Terng   Front Matter . . . . . . . . . . . . . . ??
          Richard S. Palais and   
               Chuu-liang Terng   Back Matter  . . . . . . . . . . . . . . ??


Lecture Notes in Mathematics
Volume 1354, 1988

                  Z. Ciesielski   Nonparametric polynomial density
                                  estimation in the $ L^P $ norm . . . . . 1--10
                  W. Dahmen and   
           T. N. T. Goodman and   
           Charles A. Micchelli   Local spline interpolation schemes in
                                  one and several variables  . . . . . . . 11--24
             A. A. Gon\vcar and   
                E. A. Rakhmanov   On the rate of rational approximation of
                                  analytic functions . . . . . . . . . . . 25--42
         Jürgen Guddat and   
        Hubertus Th. Jongen and   
                  Dieter Nowack   Parametric optimization: Pathfollowing
                                  with jumps . . . . . . . . . . . . . . . 43--53
       Diederich Hinrichsen and   
               Matthias Motscha   Optimization problems in the robustness
                                  analysis of linear state space systems   54--78
                     E. B. Saff   A principle of contamination in best
                                  polynomial approximation . . . . . . . . 79--97
              Marco Baronti and   
              Pier Luigi Papini   Nearby sets and centers  . . . . . . . . 98--105
Jorge Bustamante González   Approximation by Lipschitz functions and
                                  its application to boundary value of
                                  Cauchy-type integrals  . . . . . . . . . 106--110
           M. A. Cachafeiro and   
            F. Marcellán   Asymptotics for the ratio of the leading
                                  coefficients of orthogonal polynomials
                                  associated with a jump modification  . . 111--117
             André Draux   Convergence of Padé approximants in a
                                  non-commutative algebra  . . . . . . . . 118--130
              Charles B. Dunham   Subsets of unicity in uniform
                                  approximation  . . . . . . . . . . . . . 131--135
         J. L. Fernández   On qualitative Korovkin theorems with
                                  $a$-distance . . . . . . . . . . . . . . 136--139
René Hernández Herrera and   
Guillermo López Lagomasino   Relative asymptotics of orthogonal
                                  polynomials with respect to varying
                                  measures II  . . . . . . . . . . . . . . 140--154
                J. Illán   On the rational approximation of $ H^P $
                                  functions in the $ L_P(\mu) $ metric . . 155--163
      M. A. Jiménez Pozo   On the trajectories of inclined
                                  oil-wells  . . . . . . . . . . . . . . . 164--168
                  Lee Lorch and   
                 Dennis Russell   On some contributions of Halasz to the
                                  Turan power-sum theory . . . . . . . . . 169--177
Andrei Martínez Finkelshtein   On the $m$-th row of Newton-type $
                                  (\alpha, \beta)$-PADF tables and
                                  singular points  . . . . . . . . . . . . 178--187
             René Piedra   On simultaneous rational interpolants of
                                  type $ (\alpha, \beta) $ . . . . . . . . 188--198
         Celiar Silva Rehermann   Généralisation de formules de bornage de
                                  L-I et applications aux $ L^p $.
                                  (French) []  . . . . . . . . . . . . . . 199--208
               C. A. Timmermans   On $ C_0 $-semigroups in a space of
                                  bounded continuous functions in the case
                                  of entrance or natural boundary points   209--216


Lecture Notes in Mathematics
Volume 1356, 1988

                   Hans Volkmer   Introduction . . . . . . . . . . . . . . 1--7
                   Hans Volkmer   Multiparameter eigenvalue problems for
                                  Hermitian matrices . . . . . . . . . . . 8--20
                   Hans Volkmer   Multiparameter eigenvalue problems for
                                  bounded operators  . . . . . . . . . . . 21--49
                   Hans Volkmer   Multiparameter eigenvalue problems for
                                  unbounded operators  . . . . . . . . . . 50--75
                   Hans Volkmer   Multiparameter expansion theorems for
                                  Hermitian matrices . . . . . . . . . . . 76--86
                   Hans Volkmer   Multiparameter expansion theorems for
                                  bounded operators  . . . . . . . . . . . 87--115
                   Hans Volkmer   Multiparameter expansion theorems for
                                  unbounded operators  . . . . . . . . . . 116--141


Lecture Notes in Mathematics
Volume 1357, 1988

                    H.-D. Alber   On the existence in the large of
                                  solutions to the one-dimensional,
                                  isentropic hydrodynamic equations in a
                                  bounded domain . . . . . . . . . . . . . 1--22
                H.-D. Alber and   
                        R. Leis   Initial-boundary value and scattering
                                  problems in mathematical physics . . . . 23--60
               Hans Wilhelm Alt   On shape optimization of a turbine blade 61--95
                Josef Bemelmans   Free boundary problems for the
                                  Navier--Stokes equations . . . . . . . . 96--115
                 Ulrich Dierkes   A geometric maximum principle, Plateau's
                                  problem for surfaces of prescribed mean
                                  curvature, and the two dimensional
                                  analogue of the catenary . . . . . . . . 116--141
                  Gerhard Dziuk   Finite Elements for the Beltrami
                                  operator on arbitrary surfaces . . . . . 142--155
                    Robert Finn   Comparison principles in capillarity . . 156--197
                    Jens Frehse   Remarks on diagonal elliptic systems . . 198--210
              Mariano Giaquinta   Quasiconvexity, growth conditions and
                                  partial regularity . . . . . . . . . . . 211--237
            Michael Grüter   The monotonicity formula in geometric
                                  measure theory, and an application to a
                                  partially free boundary problem  . . . . 238--255
                Robert Gulliver   Isoperimetric problems having continua
                                  of solutions . . . . . . . . . . . . . . 256--263
               Jürgen Jost   Harmonic maps --- Analytic theory and
                                  geometric significance . . . . . . . . . 264--296
                  Michael Meier   Asymptotic behavior of solutions of some
                                  quasilinear elliptic systems in exterior
                                  domains  . . . . . . . . . . . . . . . . 297--316
                  A. Milani and   
                      R. Picard   Decomposition theorems and their
                                  application to non-linear electro- and
                                  magneto-static boundary value problems   317--340
                 Reinhard Racke   Initial boundary value problems in
                                  thermoelasticity . . . . . . . . . . . . 341--358
                 Michael Struwe   Applications of variational methods to
                                  problems in the geometry of surfaces . . 359--378
                   A. J. Tromba   Open problems in the degree theory for
                                  disc minimal surfaces spanning a curve
                                  in $ \mathbb {R}^3 $ . . . . . . . . . . 379--401
                   K. J. Witsch   On a modified version of the free
                                  geodetic boundary-value problem  . . . . 402--423


Lecture Notes in Mathematics
Volume 1358, 1988

                  David Mumford   Front Matter . . . . . . . . . . . . . . 1--1
                  David Mumford   Some algebra . . . . . . . . . . . . . . 2--7
                  David Mumford   Irreducible algebraic sets . . . . . . . 7--15
                  David Mumford   Definition of a morphism: I  . . . . . . 15--24
                  David Mumford   Sheaves and affine varieties . . . . . . 24--35
                  David Mumford   Definition of prevarieties and morphism  35--45
                  David Mumford   Products and the Hausdorff Axiom . . . . 46--55
                  David Mumford   Dimension  . . . . . . . . . . . . . . . 56--67
                  David Mumford   The fibres of a morphism . . . . . . . . 67--75
                  David Mumford   Complete varieties . . . . . . . . . . . 75--80
                  David Mumford   Complex varieties  . . . . . . . . . . . 80--89
                  David Mumford   Front Matter . . . . . . . . . . . . . . 91--92
                  David Mumford   $ {\rm Spec}(R) $  . . . . . . . . . . . 93--108
                  David Mumford   The category of preschemes . . . . . . . 108--121
                  David Mumford   Varieties are preschemes . . . . . . . . 121--131
                  David Mumford   Fields of definition . . . . . . . . . . 131--142
                  David Mumford   Closed subpreschemes . . . . . . . . . . 143--155
                  David Mumford   The functor of points of a prescheme . . 155--167
                  David Mumford   Proper morphisms and finite morphisms    168--176
                  David Mumford   Specialization . . . . . . . . . . . . . 177--189
                  David Mumford   Front Matter . . . . . . . . . . . . . . 191--191
                  David Mumford   Quasi-coherent modules . . . . . . . . . 193--205
                  David Mumford   Coherent modules . . . . . . . . . . . . 205--215
                  David Mumford   Front Matter . . . . . . . . . . . . . . N2--V


Lecture Notes in Mathematics
Volume 1359, 1988

                 Jean-Paul Pier   Some views on the evolution of harmonic
                                  analysis . . . . . . . . . . . . . . . . 1--15
               George W. Mackey   Induced representations and the
                                  applications of harmonic analysis  . . . 16--51
               Mohamed Akkouchi   Une caracterisation du noyau de Poisson
                                  d'un arbre homog\`ene. (French) [] . . . 52--59
            Jean-Philippe Anker   Le noyau de la chaleur sur les espaces
                                  symétriques $ U(p, q) / U(p) \times U(q)
                                  $. (French) [] . . . . . . . . . . . . . 60--82
                  Aharon Atzmon   Irreducible representations of Abelian
                                  groups . . . . . . . . . . . . . . . . . 83--92
                 Christian Berg   On the uniqueness of minimal
                                  definitizing polynomials for a sequence
                                  with finitely many negative squares  . . 93--99
           Lynette M. Bloom and   
                Walter R. Bloom   Multipliers on spaces of functions with
                                  $p$-summable Fourier transforms  . . . . 100--112
          Georges Bohnké   Alg\`ebres de type Besov--Sobolev.
                                  (French) []  . . . . . . . . . . . . . . 113--121
                    J.-L. Clerc   Fonctions $K$ de Bessel pour les
                                  alg\`ebres de Jordan. (French) []  . . . 122--134
              Jacques Delaporte   Convoluteurs continus et topologie
                                  stricte. (French) [] . . . . . . . . . . 135--141
             Antoine Derighetti   Convoluteurs et projecteurs. (French) [] 142--158
       Siegfried Echterhoff and   
               Eberhard Kaniuth   Certain group extensions and twisted
                                  covariance algebras with generalized
                                  continuous trace . . . . . . . . . . . . 159--169
                 Jacques Faraut   Formule du binôme généralisée. (French) []   170--180
                     Peter Gerl   Amenable groups and amenable graphs  . . 181--190
                  B. E. Johnson   Derivations from $ L^1 (G) $ into $ L^1
                                  (G) $ and $ L^\infty (G) $ . . . . . . . 191--198
             Jean-Pierre Kahane   Désintegration des mesures selon la
                                  dimension et chaos multiplicatif.
                                  (French) []  . . . . . . . . . . . . . . 199--208
                    Jean Ludwig   Minimal $ C* $-dense ideals and
                                  algebraically irreducible
                                  representations of the Schwartz-algebra
                                  of a nilpotent Lie group . . . . . . . . 209--217
            Raymond Mortini and   
            Michael von Renteln   Some remarkable properties of the Wiener
                                  algebra $ W^+ $  . . . . . . . . . . . . 218--225
            Alan L. T. Paterson   The class of locally compact groups $G$
                                  for which $ C*(G)$ is amenable . . . . . 226--237
                      H. Reiter   Metaplectic groups and harmonic analysis 238--241


Lecture Notes in Mathematics
Volume 1361, 1988

                   Stefan Bauer   The homotopy type of a $4$-manifold with
                                  finite fundamental group . . . . . . . . 1--6
     C.-F. Bödigheimer and   
                    F. R. Cohen   Rational cohomology of configuration
                                  spaces of surfaces . . . . . . . . . . . 7--13
            Grzegorz Dylawerski   An $ S^1 $-degree and $ S^1 $-maps
                                  between representation spheres . . . . . 14--28
                 Ronnie Lee and   
            Steven H. Weintraub   On certain Siegel modular varieties of
                                  genus two and levels above two . . . . . 29--52
           L. Gaunce Lewis, Jr.   The $ {\rm RO}(G) $-graded equivariant
                                  ordinary cohomology of complex
                                  projective spaces with linear $ \mathbb
                                  {Z} / p $ actions  . . . . . . . . . . . 53--122
             Wolfgang Lück   The equivariant degree . . . . . . . . . 123--166
               W. Lück and   
                     A. Ranicki   Surgery transfer . . . . . . . . . . . . 167--246
                  R. J. Milgram   Some remarks on the Kirby--Siebenmann
                                  class  . . . . . . . . . . . . . . . . . 247--252
               Dietrich Notbohm   The fixed-point conjecture for $p$-toral
                                  groups . . . . . . . . . . . . . . . . . 253--260
                       V. Puppe   Simply connected manifolds without $ S^1
                                  $-symmetry . . . . . . . . . . . . . . . 261--268
                   Pierre Vogel   $ 2 \times 2$- matrices and application
                                  to link theory . . . . . . . . . . . . . 269--298
                      H. Reiter   Front Matter . . . . . . . . . . . . . . ??


Lecture Notes in Mathematics
Volume 1362, 1988

       Srinivasa R. S. Varadhan   Large deviations and applications  . . . 1--49
                 Persi Diaconis   Applications of non-commutative Fourier
                                  analysis to probability problems . . . . 51--100
              Hans Föllmer   Random fields and diffusion processes    101--203
         George C. Papanicolaou   Waves in one-dimensional random media    205--264
         George C. Papanicolaou   Remarks on the point interaction
                                  approximation  . . . . . . . . . . . . . 265--275
                 David Elworthy   Geometric aspects of diffusions on
                                  manifolds  . . . . . . . . . . . . . . . 277--425
                  Edward Nelson   Stochastic mechanics and random fields   427--459


Lecture Notes in Mathematics
Volume 1355, 1989

       Jürgen Bokowski and   
                Bernd Sturmfels   Preliminaries  . . . . . . . . . . . . . 1--17
       Jürgen Bokowski and   
                Bernd Sturmfels   On the existence of algorithms . . . . . 18--31
       Jürgen Bokowski and   
                Bernd Sturmfels   Combinatorial and algebraic methods  . . 32--60
       Jürgen Bokowski and   
                Bernd Sturmfels   Algebraic criteria for geometric
                                  realizability  . . . . . . . . . . . . . 61--86
       Jürgen Bokowski and   
                Bernd Sturmfels   Geometric methods  . . . . . . . . . . . 87--101
       Jürgen Bokowski and   
                Bernd Sturmfels   Recent topological results . . . . . . . 102--114
       Jürgen Bokowski and   
                Bernd Sturmfels   Preprocessing methods  . . . . . . . . . 115--132
       Jürgen Bokowski and   
                Bernd Sturmfels   On the finding of polyheadral manifolds  133--146
       Jürgen Bokowski and   
                Bernd Sturmfels   Matroids and chirotopes as algebraic
                                  varieties  . . . . . . . . . . . . . . . 147--157


Lecture Notes in Mathematics
Volume 1363, 1989

           Peter G. Casazza and   
              Thaddeus J. Shura   Precursors of the Tsirelson construction 1--7
           Peter G. Casazza and   
              Thaddeus J. Shura   The Figiel--Johnson construction of
                                  Tsirelson's space  . . . . . . . . . . . 8--18
           Peter G. Casazza and   
              Thaddeus J. Shura   Block basic sequences in Tsirelson's
                                  space  . . . . . . . . . . . . . . . . . 19--23
           Peter G. Casazza and   
              Thaddeus J. Shura   Bounded linear operators on $T$ and the
                                  ``blocking'' principle . . . . . . . . . 24--34
           Peter G. Casazza and   
              Thaddeus J. Shura   Subsequences of the unit vector basis of
                                  Tsirelson's space  . . . . . . . . . . . 35--47
           Peter G. Casazza and   
              Thaddeus J. Shura   Modified Tsirelson's Space: $ T_M $  . . 48--53
           Peter G. Casazza and   
              Thaddeus J. Shura   Embedding Theorems about $T$ and $T$ . . 54--59
           Peter G. Casazza and   
              Thaddeus J. Shura   Isomorphisms between subspaces of
                                  Tsirelson's space which are spanned by
                                  subsequences of $ \left \{ {t_n } \right
                                  \}_{n = 1}^\infty $  . . . . . . . . . . 60--66
           Peter G. Casazza and   
              Thaddeus J. Shura   Permutations of the unit vector basis of
                                  Tsirelson's space  . . . . . . . . . . . 67--81
           Peter G. Casazza and   
              Thaddeus J. Shura   Unconditional bases for complemented
                                  subspaces of Tsirelson's space . . . . . 82--94
           Peter G. Casazza and   
              Thaddeus J. Shura   Variations on a Theme  . . . . . . . . . 95--118
           Peter G. Casazza and   
              Thaddeus J. Shura   Some final comments  . . . . . . . . . . 119--120


Lecture Notes in Mathematics
Volume 1364, 1989

               Robert R. Phelps   Front Matter . . . . . . . . . . . . . . I--IX
               Robert R. Phelps   Convex functions on real Banach spaces   1--16
               Robert R. Phelps   Monotone operators, subdifferentials and
                                  Asplund spaces . . . . . . . . . . . . . 17--39
               Robert R. Phelps   Lower semicontinuous convex functions    40--63
               Robert R. Phelps   A smooth variational principle and more
                                  about Asplund spaces . . . . . . . . . . 64--71
               Robert R. Phelps   Asplund spaces, the Radon--Nikodým
                                  property and optimization  . . . . . . . 72--89
               Robert R. Phelps   Gâteaux differentiability spaces  . . . . 90--96
               Robert R. Phelps   A generalization of monotone operators:
                                  Usco maps  . . . . . . . . . . . . . . . 97--103
               Robert R. Phelps   Notes and Remarks  . . . . . . . . . . . 104--107
               Robert R. Phelps   Back Matter  . . . . . . . . . . . . . . 108--118


Lecture Notes in Mathematics
Volume 1365, 1989

          Ha\"\im Brézis   $ S^k $-valued maps with singularities   1--30
             Luis A. Caffarelli   Free boundary problems a survey  . . . . 31--61
              Jürgen Moser   Minimal foliations on a torus  . . . . . 62--99
                   L. Nirenberg   Variational methods in nonlinear
                                  problems . . . . . . . . . . . . . . . . 100--119
              Richard M. Schoen   Variational theory for the total scalar
                                  curvature functional for Riemannian
                                  metrics and related topics . . . . . . . 120--154
                   A. J. Tromba   A classical variational approach to
                                  Teichmüller theory  . . . . . . . . . . . 155--185
                  Edward Nelson   Front Matter . . . . . . . . . . . . . . ??


Lecture Notes in Mathematics
Volume 1366, 1989

                  Norman Levitt   Introduction . . . . . . . . . . . . . . 1--10
                  Norman Levitt   Local formulae for characteristic
                                  classes  . . . . . . . . . . . . . . . . 11--42
                  Norman Levitt   Formal links and the PL Grassmannian $
                                  G_{n, k} $ . . . . . . . . . . . . . . . 43--59
                  Norman Levitt   Some variations of the $ G_{n, k} $
                                  construction . . . . . . . . . . . . . . 60--69
                  Norman Levitt   The immersion theorem for subcomplexes
                                  of $ G_{n, k} $  . . . . . . . . . . . . 70--86
                  Norman Levitt   Immersions equivariant with respect to
                                  orthogonal actions on $ R^{n + k} $  . . 87--100
                  Norman Levitt   Immersions into triangulated manifolds
                                  (with R. Mladineo) . . . . . . . . . . . 101--115
                  Norman Levitt   The Grassmannian for piecewise smooth
                                  immersions . . . . . . . . . . . . . . . 116--160
                  Norman Levitt   Some applications to smoothing theory    161--180
                  Norman Levitt   Equivariant piecewise differentiable
                                  immersions . . . . . . . . . . . . . . . 181--187
                  Norman Levitt   Piecewise differentiable immersions into
                                  Riemannian manifolds . . . . . . . . . . 188--197


Lecture Notes in Mathematics
Volume 1367, 1989

               Manfred Knebusch   Basic theory of weakly semialgebraic
                                  spaces . . . . . . . . . . . . . . . . . 1--105
               Manfred Knebusch   Patch complexes, and homotopies again    106--181
               Manfred Knebusch   Homology and cohomology  . . . . . . . . 182--259
               Manfred Knebusch   Simplicial spaces  . . . . . . . . . . . 260--351


Lecture Notes in Mathematics
Volume 1368, 1989

             Reinhold Hübl   Introduction . . . . . . . . . . . . . . 1--7
             Reinhold Hübl   The Hochschild homology and the
                                  Hochschild cohomology of a topological
                                  algebra  . . . . . . . . . . . . . . . . 8--27
             Reinhold Hübl   Differential forms and Hochschild
                                  homology . . . . . . . . . . . . . . . . 28--46
             Reinhold Hübl   Traces in Hochschild homology  . . . . . 47--55
             Reinhold Hübl   Traces of Differential Forms . . . . . . 56--69
             Reinhold Hübl   Traces in complete intersections . . . . 70--83
             Reinhold Hübl   The topological residue homomorphism . . 84--93
             Reinhold Hübl   Trace formulas for residues of
                                  differential forms . . . . . . . . . . . 94--105


Lecture Notes in Mathematics
Volume 1369, 1989

            Thomas E. Cecil and   
              Shiing-Shen Chern   Dupin submanifolds in Lie sphere
                                  geometry . . . . . . . . . . . . . . . . 1--48
                   Weihuan Chen   The mean curvatures on the tubular
                                  hypersurfaces in a space of constant
                                  curvature  . . . . . . . . . . . . . . . 49--62
              Xiuxiong Chen and   
                 Chia-Kuei Peng   Deformation of surfaces preserving
                                  principal curvatures . . . . . . . . . . 63--70
             Ralph L. Cohen and   
                Ulrike Tillmann   Lectures on immersion theory . . . . . . 71--124
                     Boju Jiang   Surface maps and braid equations, I  . . 125--141
                      An-Min Li   Affine maximal surfaces and harmonic
                                  functions  . . . . . . . . . . . . . . . 142--151
                 Bang-He Li and   
                    Zizhou Tang   Codimension $1$ and $2$ immersions of
                                  lens spaces  . . . . . . . . . . . . . . 152--163
                 Bang-He Li and   
                         Tao Xu   On third order nondegenerate immersions
                                  and maps of $ S^1 $ in $ R^2 $ . . . . . 164--175
                    Zhisheng Ma   Complete surfaces in $ H^3 $ with a
                                  constant principal curvature . . . . . . 176--182
                Shingo Murakami   Exceptional simple Lie groups and
                                  related topics in recent differential
                                  geometry . . . . . . . . . . . . . . . . 183--221
             Chia-Kuei Peng and   
                      Zixin Hou   A remark on the isoparametric
                                  polynomials of degree $6$  . . . . . . . 222--224
                   Chun-li Shen   On the holomorphic maps from Riemann
                                  surfaces to Grassmannians  . . . . . . . 225--234
                    Yibing Shen   Stability of totally real minimal
                                  submanifolds . . . . . . . . . . . . . . 235--242
                      Udo Simon   Dirichlet problems and the Laplacian in
                                  affine hypersurface theory . . . . . . . 243--260
                 Hsin-sheng Tai   A class of symmetric functions and Chern
                                  classes of projective varieties  . . . . 261--274
                  Shicheng Wang   Essential invariant circles of surface
                                  automorphisms of finite order  . . . . . 275--285
                   Ying-qing Wu   Jones polynomial and the crossing number
                                  of links . . . . . . . . . . . . . . . . 286--288
                     Liang Xiao   On complete minimal surfaces with
                                  parallel and flat ends . . . . . . . . . 289--294
                  Yuan-Long Xin   Regularity of harmonic maps into certain
                                  homogeneous spaces . . . . . . . . . . . 295--305
                    Wenmao Yang   On infinitesimal deformations of
                                  surfaces in $ E^3 $  . . . . . . . . . . 306--321
                   A. J. Tromba   Front Matter . . . . . . . . . . . . . . ??


Lecture Notes in Mathematics
Volume 1370, 1989

                    I. M. James   Topology: past, present and future . . . 1--9
            George W. Whitehead   The work of Edgar H. Brown, Jr. in
                                  Topology . . . . . . . . . . . . . . . . 10--14
                 Alejandro Adem   Homology representations of finite
                                  transformation groups  . . . . . . . . . 15--23
                 David J. Anick   Homotopy exponents for spaces of
                                  category two . . . . . . . . . . . . . . 24--52
           Martin Bendersky and   
                Donald M. Davis   On the complex bordism of classifying
                                  spaces . . . . . . . . . . . . . . . . . 53--56
              A. J. Berrick and   
                  Duane Randall   On equivariant maps and immersions of
                                  real projective spaces . . . . . . . . . 57--62
            Israel Berstein and   
                 John R. Harper   Cogroups which are not suspensions . . . 63--86
           Charles P. Boyer and   
               Benjamin M. Mann   Instantons and homotopy  . . . . . . . . 87--102
        Edgar H. Brown, Jr. and   
             Robert H. Szczarba   On real homotopy theory  . . . . . . . . 103--116
                F. R. Cohen and   
                 F. P. Peterson   Some remarks on the space $ \Im J $  . . 117--125
            Donald M. Davis and   
                  Mark Mahowald   A new spectrum related to $7$-connected
                                  cobordism  . . . . . . . . . . . . . . . 126--134
           Michael W. Davis and   
           Jean-Claude Hausmann   Aspherical manifolds without smooth or
                                  PL structure . . . . . . . . . . . . . . 135--142
                W. G. Dwyer and   
                      D. M. Kan   Homology with simplicial coefficients    143--149
                   Brayton Gray   On the double suspension . . . . . . . . 150--162
               K. A. Hardie and   
                   A. V. Jansen   A Whitehead product for track groups . . 163--170
             Michael J. Hopkins   Minimal atlases of real projective
                                  spaces . . . . . . . . . . . . . . . . . 171--192
                Norio Iwase and   
                  Mamoru Mimura   Higher homotopy associativity  . . . . . 193--220
           Stefan Jackowski and   
               James E. McClure   Homotopy approximations for classifying
                                  spaces of compact Lie groups . . . . . . 221--234
                    Max Karoubi   Cyclic homology and characteristic
                                  classes of bundles with additional
                                  structures . . . . . . . . . . . . . . . 235--242
               Nicholas J. Kuhn   Morava $K$-theories and infinite loop
                                  spaces . . . . . . . . . . . . . . . . . 243--257


Lecture Notes in Mathematics
Volume 1371, 1989

                     Sarah Glaz   Preliminaries  . . . . . . . . . . . . . 1--30
                     Sarah Glaz   Introduction to coherence  . . . . . . . 31--68
                     Sarah Glaz   Fundamental concepts . . . . . . . . . . 69--107
                     Sarah Glaz   Ring extensions  . . . . . . . . . . . . 108--148
                     Sarah Glaz   Ring constructions and overrings . . . . 149--189
                     Sarah Glaz   Particular coherent rings  . . . . . . . 190--227
                     Sarah Glaz   Polynomial rings . . . . . . . . . . . . 228--279
                     Sarah Glaz   Coherent algebras  . . . . . . . . . . . 280--327


Lecture Notes in Mathematics
Volume 1372, 1989

                Dominique Bakry   Sur l'interpolation complexe des
                                  semigroupes de diffusion. (French) []    1--20
                 M. Zinsmeister   Les Dérivations Analytiques. (French) []  21--46
                    N. Kazamaki   A remark on the class of martingales
                                  with bounded quadratic variation . . . . 47--51
                     M. Kikuchi   The best estimation of a ratio
                                  inequality for continuous martingales    52--56
                    S. D. Jacka   A note on the good lambda inequalities   57--65
            Michel Émery   On the Azéma martingales  . . . . . . . . 66--87
            J. Azéma and   
                         M. Yor   Étude d'une martingale remarquable.
                                  (French) []  . . . . . . . . . . . . . . 88--130
            J. Azéma and   
                       K. Hamza   La propriété de représentation prévisible
                                  dans la filtration naturelle d'un
                                  ensemble régénératif. (French) [] . . . . . 131--138
                    P.-A. Meyer   Équations de structure des martingales et
                                  probabilités quantiques. (French) []  . . 139--141
                    P.-A. Meyer   Construction de solutions d'``équations
                                  de structure''. (French) []  . . . . . . 142--145
                    P.-A. Meyer   Un cas de représentation chaotique
                                  discr\`ete. (French) []  . . . . . . . . 146--146
                    Jean Picard   Martingales sur le cercle. (French) []   147--160
          R. Léandre and   
                    P.-A. Meyer   Sur le développement d'une diffusion en
                                  chaos de Wiener. (French) [] . . . . . . 161--164
                  David Nualart   Une remarque sur le développement en
                                  chaos d'une diffusion. (French) [] . . . 165--168
            K. R. Parthasarathy   Some comments on quantum probability . . 169--174
                    P.-A. Meyer   Éléments de probabilités quantiques. X.
                                  (French) []  . . . . . . . . . . . . . . 175--182
                    P.-A. Meyer   Éléments de probabilités quantiques XI.
                                  (French) []  . . . . . . . . . . . . . . 183--185
                L. C. G. Rogers   Multiple points of Markov processes in a
                                  complete metric space  . . . . . . . . . 186--197
                 Philippe Biane   Comportement asymptotique de certaines
                                  fonctionnelles additives de plusieurs
                                  mouvements browniens. (French) []  . . . 198--233
                M. Cranston and   
                      Y. Le Jan   Simultaneous boundary hitting for a two
                                  point reflecting Brownian motion . . . . 234--238


Lecture Notes in Mathematics
Volume 1373, 1989

                  Helmut Strade   The absolute toral rank of a Lie algebra 1--28
              Robert Lee Wilson   Differential forms and the algebra $ W(m
                                  \colon n) $  . . . . . . . . . . . . . . 29--41
              G. M. Benkart and   
              T. B. Gregory and   
               J. M. Osborn and   
                  H. Strade and   
                   R. L. Wilson   Isomorphism classes of Hamiltonian Lie
                                  algebras . . . . . . . . . . . . . . . . 42--57
                Alberto Elduque   On Lie algebras with a subalgebra of
                                  codimension one  . . . . . . . . . . . . 58--66
           Shirlei Serconek and   
              Robert Lee Wilson   Forms of restricted simple Lie algebras  67--80
               Vicente R. Varea   The subalgebra lattice of a
                                  supersolvable Lie algebra  . . . . . . . 81--92
               Rolf Farnsteiner   Lie theoretic methods in cohomology
                                  theory . . . . . . . . . . . . . . . . . 93--110
                   Mark E. Hall   An introduction to Schubert submodules   111--123
             George B. Seligman   Kac--Moody modules and generalized
                                  Clifford algebras  . . . . . . . . . . . 124--143
             George B. Seligman   Workshop lectures  . . . . . . . . . . . 144--145


Lecture Notes in Mathematics
Volume 1374, 1989

                Robion C. Kirby   Introduction . . . . . . . . . . . . . . 1--2
                Robion C. Kirby   Handlebodies and framed links  . . . . . 3--19
                Robion C. Kirby   Intersection forms . . . . . . . . . . . 20--30
                Robion C. Kirby   Classification theorems  . . . . . . . . 31--32
                Robion C. Kirby   Spin structures  . . . . . . . . . . . . 33--37
                Robion C. Kirby   $ T_{Lie}^3 $ and $ C P^2 \mathop \sharp
                                  \limits^9 ( - C P^2) $ . . . . . . . . . 38--42
                Robion C. Kirby   Immersing $4$-manifolds in $ R^6$  . . . 43--45
                Robion C. Kirby   $3$-Manifolds; a digression  . . . . . . 46--48
                Robion C. Kirby   Bounding $5$-manifolds . . . . . . . . . 49--56
                Robion C. Kirby   $ p_1 (M) = 3 \sigma (M) $, $
                                  \omega_4^{\rm so} = Z $ and $
                                  \omega_4^{\rm spin} = Z $  . . . . . . . 57--58
                Robion C. Kirby   Wall's diffeomorphisms and $H$-cobordism 59--63
                Robion C. Kirby   Rohlin's theorem . . . . . . . . . . . . 64--71
                Robion C. Kirby   Casson handles . . . . . . . . . . . . . 72--85
                Robion C. Kirby   Freedman's work  . . . . . . . . . . . . 86--94
                Robion C. Kirby   Exotic $ R^4 $'s . . . . . . . . . . . . 95--101
                Robion C. Kirby   Front Matter . . . . . . . . . . . . . . ??
                Robion C. Kirby   Back Matter  . . . . . . . . . . . . . . ??


Lecture Notes in Mathematics
Volume 1375, 1989

                Wu-chung Hsiang   A personal perspective of differentiable
                                  transformation groups  . . . . . . . . . 1--5
                      Tohl Asoh   Smooth $ {\rm SL}(2, C) $ actions on the
                                  $3$-sphere . . . . . . . . . . . . . . . 6--15
                 Amir H. Assadi   ``On finite domination and simple
                                  homotopy type of nonsimply-connected
                                  $G$-spaces'' . . . . . . . . . . . . . . 16--32
                Tammo tom Dieck   Modification of linking in
                                  representation forms . . . . . . . . . . 33--41
                Tammo tom Dieck   Linking in cyclic representation forms   42--47
            Tammo tom Dieck and   
                     Ted Petrie   The Abhyankar--Moh problem in dimension
                                  $3$  . . . . . . . . . . . . . . . . . . 48--59
       Karl Heinz Dovermann and   
              Melvin Rothenberg   The generalized Whitehead torsion of a
                                  $g$ fibre homotopy equivalence . . . . . 60--88
                   Akio Hattori   Circle actions on symplectic manifolds   89--97
              Sören Illman   The isomorphism class of a
                                  representation of a compact Lie group is
                                  determined by the equivariant
                                  simple-homotopy type of the
                                  representation . . . . . . . . . . . . . 98--110
                 Tsuyoshi Inoue   The equivariant Whitehead torsions of
                                  equivariant homotopy equivalences
                                  between the unit spheres of
                                  representations of cyclic groups . . . . 111--125
               Masayoshi Kamata   On the characteristic numbers of unitary
                                  semi-free $ S^1 $-manifolds  . . . . . . 126--131
            Yoshinobu Kamishima   Conformal circle actions on
                                  $3$-manifolds  . . . . . . . . . . . . . 132--144
                 Taizo Kanenobu   Untwisted deform-spun knots: Examples of
                                  symmetry-spun $2$-knots  . . . . . . . . 145--167
                Mitsuyoshi Kato   On some Abelian complex reflection
                                  groups . . . . . . . . . . . . . . . . . 168--182
                Katsuo Kawakubo   $G$-$s$-cobordism theorems do not hold
                                  in general for many compact Lie groups
                                  $G$  . . . . . . . . . . . . . . . . . . 183--190
               Katsuhiro Komiya   Congruences for the Burnside ring  . . . 191--197
                Hsu-Tung Ku and   
                    Mei-Chin Ku   The Pontrjagin numbers of an orbit map
                                  and generalized $G$-signature theorem    198--206
              Kyung Bai Lee and   
                  Frank Raymond   Seifert manifolds modelled on principal
                                  bundles  . . . . . . . . . . . . . . . . 207--215
                  I. Madsen and   
                  M. Rothenberg   Equivariant pseudo-isotopies and $K_{ -
                                  I}$  . . . . . . . . . . . . . . . . . . 216--230
                  Mikiya Masuda   A product formula for connected sum  . . 231--239


Lecture Notes in Mathematics
Volume 1376, 1989

                 Yaki Sternfeld   Hilbert's 13th problem and dimension . . 1--49
                J. Bourgain and   
                   A. Pajor and   
               S. J. Szarek and   
          N. Tomczak-Jaegermann   On the duality problem for entropy
                                  numbers of operators . . . . . . . . . . 50--63
               V. D. Milman and   
                       A. Pajor   Isotropic position and inertia
                                  ellipsoids and zonoids of the unit ball
                                  of a normed $n$-dimensional space  . . . 64--104
               S. J. Szarek and   
                   M. Talagrand   An ``isomorphic'' version of the
                                  Sauer--Shelah lemma and the
                                  Banach--Mazur distance to the cube . . . 105--112
     Paul F. X. Müller and   
              Gideon Schechtman   On complemented subspaces of $ H^1 $ and
                                  VMO  . . . . . . . . . . . . . . . . . . 113--125
             Yaki Sternfeld and   
                   Yitzhak Weit   An approximation theorem for vector
                                  valued functions . . . . . . . . . . . . 126--137
                J. Bourgain and   
               N. J. Kalton and   
                    L. Tzafriri   Geometry of finite dimensional subspaces
                                  and quotients of $ L_p $ . . . . . . . . 138--175
                J. Bourgain and   
                      M. Gromov   Estimates of Bernstein widths of Sobolev
                                  spaces . . . . . . . . . . . . . . . . . 176--185
                      Noga Alon   Probabilistic proofs of existence of
                                  rare events  . . . . . . . . . . . . . . 186--201
                    J. Bourgain   On the behavior of the constant in the
                                  Littlewood--Paley inequality . . . . . . 202--208
                    J. Bourgain   On Kolmogorov's rearrangement problem
                                  for orthogonal systems and Garsia's
                                  conjecture . . . . . . . . . . . . . . . 209--250
                     Keith Ball   Volumes of sections of cubes and related
                                  problems . . . . . . . . . . . . . . . . 251--260
              Mathieu Meyer and   
                    Alain Pajor   On Santaló's inequality . . . . . . . . . 261--263
                J. Bourgain and   
           J. Lindenstrauss and   
                      V. Milman   Estimates related to Steiner
                                  symmetrizations  . . . . . . . . . . . . 264--273
              Gideon Schechtman   A remark concerning the dependence on $
                                  \epsilon $ in Dvoretzky's theorem  . . . 274--277
                J. Bourgain and   
               J. Lindenstrauss   Almost Euclidean sections in spaces with
                                  a symmetric basis  . . . . . . . . . . . 278--288


Lecture Notes in Mathematics
Volume 1377, 1989

                 John F. Pierce   Introduction . . . . . . . . . . . . . . 1--6
                 John F. Pierce   The spaces of configurations . . . . . . 7--31
                 John F. Pierce   The spaces of loads  . . . . . . . . . . 32--65
                 John F. Pierce   The rod equilibrium problem  . . . . . . 66--89
                 John F. Pierce   The reduction of the bifurcation problem 90--116
                 John F. Pierce   The analysis of the reduced problem  . . 117--139
                 John F. Pierce   The results for the bifurcation problem  140--162
                 John F. Pierce   Conclusions and additional problems  . . 163--166


Lecture Notes in Mathematics
Volume 1378, 1989

               Robert S. Rumely   Preliminaries  . . . . . . . . . . . . . 1--22
               Robert S. Rumely   Foundations  . . . . . . . . . . . . . . 23--55
               Robert S. Rumely   The canonical distance . . . . . . . . . 56--132
               Robert S. Rumely   Local capacity theory --- Archimedean
                                  case . . . . . . . . . . . . . . . . . . 133--184
               Robert S. Rumely   Local capacity theory --- Nonarchimedean
                                  case . . . . . . . . . . . . . . . . . . 185--319
               Robert S. Rumely   Global capacity theory . . . . . . . . . 320--372
               Robert S. Rumely   Applications . . . . . . . . . . . . . . 373--422


Lecture Notes in Mathematics
Volume 1379, 1989

             Michael S. Bingham   A Fourier-analytic proof that
                                  conditional probability distributions
                                  exist on a group . . . . . . . . . . . . 1--5
                  N. H. Bingham   Tauberian theorems in probability theory 6--20
            Walter R. Bloom and   
                  Herbert Heyer   Characterisation of potential kernels of
                                  transient convolution semigroups on a
                                  commutative hypergroup . . . . . . . . . 21--35
                 S. G. Dani and   
                   M. McCrudden   Embedding infinitely divisible
                                  probabilities on the affine group  . . . 36--49
             Antoine Derighetti   \`A propos de l'induction des
                                  convoluteurs. (French) []  . . . . . . . 50--63
           Jean-Louis Dunau and   
             Henri Senateur and   
                  Insa Toulouse   Characterization of the type of some
                                  generalizations of the Cauchy
                                  distribution . . . . . . . . . . . . . . 64--74
          Philip Feinsilver and   
             René Schott   Operators, stochastic processes, and Lie
                                  groups . . . . . . . . . . . . . . . . . 75--85
        Léonard Gallardo   Rectification \`a l'article de L.
                                  Gallardo et O. Gebuhrer ``Lois de
                                  probabilités infiniment divisibles sur
                                  les hypergroupes commutatifs discrets
                                  dénombrables (Probability Measures on
                                  Groups VII Lecture Notes 1064). (French)
                                  [] . . . . . . . . . . . . . . . . . . . 86--89
                   W. Hazod and   
                       S. Nobel   Convergence-of-types theorem for simply
                                  connected nilpotent Lie groups . . . . . 90--106
                   Yuanjiang He   MD-semigroups, decomposition of point
                                  processes, central limit theorems for
                                  certain $ T_2 $-semigroups . . . . . . . 107--124
                  Takeyuki Hida   Infinite dimensional rotation group and
                                  unitary group  . . . . . . . . . . . . . 125--134
    Göran Högnäs   A note on the semigroup of analytic
                                  mappings with a common fixed point . . . 135--140
                 Jan Kisy\'nski   Localizations of Feller infinitesimal
                                  generators and uniqueness of
                                  corresponding killed processes . . . . . 141--178
                 Ajay Kumar and   
               Ajit Iqbal Singh   A dichotomy theorem for random walks on
                                  hypergroups  . . . . . . . . . . . . . . 179--184
                      R. Lasser   A modification of stationarity for
                                  stochastic processes induced by
                                  orthogonal polynomials . . . . . . . . . 185--191
            Gérard Letac   Le probl\`eme de la classification des
                                  familles exponentielles naturelles de $
                                  \mathbb {R}^d $ ayant une fonction
                                  variance quadratique. (French) []  . . . 192--216
              Arunava Mukherjea   Convolution products of non-identical
                                  distributions on a compact Abelian
                                  semigroup  . . . . . . . . . . . . . . . 217--241
                  Nobuaki Obata   The Levy Laplacian and mean value
                                  theorem  . . . . . . . . . . . . . . . . 242--253
                      M. M. Rao   Bimeasures and harmonizable processes
                                  (Analysis, classification, and
                                  representation)  . . . . . . . . . . . . 254--298
                    Paul Ressel   A conjecture concerning mixtures of
                                  characters from a given closed
                                  subsemigroup in the dual . . . . . . . . 299--309


Lecture Notes in Mathematics
Volume 1380, 1989

             W. Dale Brownawell   Applications of Cayley--Chow forms . . . 1--18
                 P. Erd\Hos and   
                  M. Szalay and   
                  J. L. Nicolas   Partitions into parts which are unequal
                                  and large  . . . . . . . . . . . . . . . 19--30
                   Gerhard Frey   Links between solutions of $ A - B = C $
                                  and elliptic curves  . . . . . . . . . . 31--62
             Alfred Geroldinger   Factorizations of algebraic integers . . 63--74
                 Roland Gillard   Étude d'une famille modulaire de variétés
                                  abéliennes. (French) [] . . . . . . . . . 75--86
              D. R. Heath-Brown   Weyl's inequality and Hua's inequality   87--92
              Yves Hellegouarch   Positive definite binary quadratic forms
                                  over $ k[X] $  . . . . . . . . . . . . . 93--119
                      M. Jutila   Mean value estimates for exponential
                                  sums . . . . . . . . . . . . . . . . . . 120--136
               Hans G. Kopetzky   Some results on Diophantine
                                  approximation related to Dirichlet's
                                  Theorem  . . . . . . . . . . . . . . . . 137--149
           Armin Leutbecher and   
               Gerhard Niklasch   On cliques of exceptional units and
                                  Lenstra's construction of Euclidean
                                  fields . . . . . . . . . . . . . . . . . 150--178
            Melvyn B. Nathanson   Sumsets containing $k$-free integers . . 179--184
                 Attila Peth\Ho   On the representation of $1$ by binary
                                  cubic forms with positive discriminant   185--196
          Rainer Schulze-Pillot   A linear relation between theta series
                                  of degree and weight $2$ . . . . . . . . 197--201
            Joseph H. Silverman   Integral points on curves and surfaces   202--241
               Gerhard Turnwald   Weak uniform distribution of
                                  second-order linear recurring sequences  242--253
   Marie-France Vignéras   Correspondance modulaire
                                  Galois-quaternions pour un corps
                                  $p$-adique. (French) []  . . . . . . . . 254--266


Lecture Notes in Mathematics
Volume 1381, 1989

    Jan-Olov Strömberg and   
             Alberto Torchinsky   Weights  . . . . . . . . . . . . . . . . 1--17
    Jan-Olov Strömberg and   
             Alberto Torchinsky   Decomposition of weights . . . . . . . . 18--29
    Jan-Olov Strömberg and   
             Alberto Torchinsky   Sharp maximal functions  . . . . . . . . 30--47
    Jan-Olov Strömberg and   
             Alberto Torchinsky   Functions in the upper half-space  . . . 48--59
    Jan-Olov Strömberg and   
             Alberto Torchinsky   Extensions of distributions  . . . . . . 60--84
    Jan-Olov Strömberg and   
             Alberto Torchinsky   The Hardy spaces . . . . . . . . . . . . 85--102
    Jan-Olov Strömberg and   
             Alberto Torchinsky   A dense class  . . . . . . . . . . . . . 103--110
    Jan-Olov Strömberg and   
             Alberto Torchinsky   The atomic decomposition . . . . . . . . 111--121
    Jan-Olov Strömberg and   
             Alberto Torchinsky   The basic inequality . . . . . . . . . . 122--133
    Jan-Olov Strömberg and   
             Alberto Torchinsky   Duality  . . . . . . . . . . . . . . . . 134--149
    Jan-Olov Strömberg and   
             Alberto Torchinsky   Singular integrals and multipliers . . . 150--176
    Jan-Olov Strömberg and   
             Alberto Torchinsky   Complex interpolation  . . . . . . . . . 177--188


Lecture Notes in Mathematics
Volume 1382, 1989

                    Hans Reiter   Preliminaries from harmonic analysis and
                                  group theory . . . . . . . . . . . . . . 1--15
                    Hans Reiter   Segal algebras; the Segal algebra $ G^1
                                  (G) $  . . . . . . . . . . . . . . . . . 16--35
                    Hans Reiter   Weil's unitary operators and the Segal
                                  algebra $ G^1 (G) $  . . . . . . . . . . 36--42
                    Hans Reiter   Weil's group of operators and related
                                  groups . . . . . . . . . . . . . . . . . 43--61
                    Hans Reiter   Vector spaces and quadratic forms ever
                                  local fields . . . . . . . . . . . . . . 62--69
                    Hans Reiter   Properties of certain quadratic forms    70--80
                    Hans Reiter   Weil operators for vector spaces over
                                  local fields . . . . . . . . . . . . . . 81--90
                    Hans Reiter   The metaplectic group (local case);
                                  Segal continuity . . . . . . . . . . . . 91--97
                    Hans Reiter   The metaplectic group and Segal
                                  continuity in the adelic case  . . . . . 98--116
                    Hans Reiter   Weil's theorem 6 . . . . . . . . . . . . 117--118


Lecture Notes in Mathematics
Volume 1383, 1989

                Daniel Bump and   
              Jeffrey Hoffstein   Some conjectured relationships between
                                  theta functions and Eisenstein series on
                                  the metaplectic group  . . . . . . . . . 1--11
           D. V. Chudnovsky and   
               G. V. Chudnovsky   Computational problems in arithmetic of
                                  linear differential equations. Some
                                  Diophantine applications . . . . . . . . 12--49
                    Harvey Cohn   Iteration of two-valued modular
                                  equations  . . . . . . . . . . . . . . . 50--58
                     David Goss   Report on transcendency in the theory of
                                  function fields  . . . . . . . . . . . . 59--63
                      D. Hajela   Exponential sums and faster than Nyquist
                                  signaling  . . . . . . . . . . . . . . . 64--75
               Adolf Hildebrand   Some new applications of the large sieve 76--88
                William L. Hoyt   Elliptic fiberings of Kummer surfaces    89--110
                    M. I. Knopp   Recent developments in the theory of
                                  rational period functions  . . . . . . . 111--122
            Melvyn B. Nathanson   Additive problems in combinatorial
                                  number theory  . . . . . . . . . . . . . 123--139
                   Robert Riley   Growth of order of homology of cyclic
                                  branched covers of knots . . . . . . . . 140--145
         A. Sárközy   Hybrid problems in number theory . . . . 146--169
                  Alan H. Stein   Binomial coefficients not divisible by a
                                  prime  . . . . . . . . . . . . . . . . . 170--177
               Moss E. Sweedler   Positive characteristic calculus and
                                  icebergs . . . . . . . . . . . . . . . . 178--185
              Noriyuki Suwa and   
                     Noriko Yui   Arithmetic of certain algebraic surfaces
                                  over finite fields . . . . . . . . . . . 186--256


Lecture Notes in Mathematics
Volume 1384, 1989

           Donald L. Burkholder   Differential subordination of harmonic
                                  functions and martingales  . . . . . . . 1--23
                 Peter W. Jones   Square functions, Cauchy integrals,
                                  analytic capacity, and harmonic measure  24--68
                Carlos E. Kenig   Restriction theorems, Carleman
                                  estimates, uniform Sobolev inequalities
                                  and unique continuation  . . . . . . . . 69--90
                Stephen Wainger   Problems in harmonic analysis related to
                                  curves and surfaces with infinitely flat
                                  points . . . . . . . . . . . . . . . . . 91--110
           Albert Baernstein II   Some topics in symmetrization  . . . . . 111--123
                  Joaquim Bruna   On the size the maximal function and the
                                  Hilbert transform  . . . . . . . . . . . 124--131
                 R. Coifman and   
                   G. David and   
                   Y. Meyer and   
                      S. Semmes   $ \theta $-Calderón--Zygmund operators    132--145
                    Mike Christ   On the $ \bar \partial_b $ equation and
                                  Szeg\Ho projection on CR manifolds . . . 146--158
                      Guy David   Singular integrals on surfaces . . . . . 159--167
                 M. Frazier and   
                  Y.-S. Han and   
                 B. Jawerth and   
                       G. Weiss   The $ T1 $ theorem for Triebel--Lizorkin
                                  spaces . . . . . . . . . . . . . . . . . 168--181
                 S. Jaffard and   
                       Y. Meyer   Les ondelettes. (French) []  . . . . . . 182--192
                  Svante Janson   On functions with derivatives in $ H^1 $ 193--201
                   Joan Orobitg   Spectral synthesis in spaces of
                                  functions with derivatives in $ H^1 $    202--206
           Richard Rochberg and   
             Mitchell Taibleson   An averaging operator on a tree  . . . . 207--213


Lecture Notes in Mathematics
Volume 1385, 1989

                 Brandon Carter   Covariant theory of conductivity in
                                  ideal fluid or solid media . . . . . . . 1--64
                 Darryl D. Holm   Hamiltonian techniques for relativistic
                                  fluid dynamics and stability theory  . . 65--151
                  Werner Israel   Covariant fluid mechanics and
                                  thermodynamics: an introduction  . . . . 152--210
                Harold Weitzner   Relativistic plasmas . . . . . . . . . . 211--237
                A. M. Anile and   
                     S. Pennisi   An improved relativistic warm plasma
                                  model  . . . . . . . . . . . . . . . . . 238--256
               Ingo Müller   Relativistic extended thermodynamics II  257--268
                Tommaso Ruggeri   Relativistic extended thermodynamics:
                                  General assumptions and mathematical
                                  procedure  . . . . . . . . . . . . . . . 269--277
                   D. Strottman   Relativistic hydrodynamics and heavy ion
                                  reactions  . . . . . . . . . . . . . . . 278--289
               Ch. G. van Weert   Some problems in relativistic
                                  hydrodynamics  . . . . . . . . . . . . . 290--300


Lecture Notes in Mathematics
Volume 1386, 1989

                    C. Baiocchi   Stability in linear abstract
                                  differential equations . . . . . . . . . 1--21
                      A. Bellen   Parallelism across the steps for
                                  difference and differential equations    22--35
                 G. Di Lena and   
                   D. Trigiante   On the spectrum of families of matrices
                                  with applications to stability problems  36--53
                     C. W. Gear   DAEs: ODEs with constraints and
                                  invariants . . . . . . . . . . . . . . . 54--68
       P. J. Van der Houwen and   
            B. P. Sommeijer and   
                   G. Pontrelli   A comparative study of Chebyshev
                                  acceleration and residue smoothing in
                                  the solution of nonlinear elliptic
                                  difference equations . . . . . . . . . . 69--96
               Olavi Nevanlinna   A note on Picard--Lindelöf iteration  . . 97--102
   Syvert P. Nòrsett and   
             Harald H. Simonsen   Aspects of parallel Runge--Kutta methods 103--117
                 L. F. Shampine   Tolerance proportionality in ODE codes   118--136


Lecture Notes in Mathematics
Volume 1387, 1989

             Miodrag Petkovi\'c   Introduction . . . . . . . . . . . . . . 1--9
             Miodrag Petkovi\'c   Basic concepts . . . . . . . . . . . . . 10--30
             Miodrag Petkovi\'c   Iterative methods without derivatives    31--68
             Miodrag Petkovi\'c   Generalized root iterations  . . . . . . 69--162
             Miodrag Petkovi\'c   Bell's polynomials and parallel disk
                                  iterations . . . . . . . . . . . . . . . 163--220
             Miodrag Petkovi\'c   Computational efficiency of simultaneous
                                  methods  . . . . . . . . . . . . . . . . 221--249


Lecture Notes in Mathematics
Volume 1388, 1989

                    C. T. Chong   Recursively enumerable sets in models of
                                  $ \Sigma_2 $ collection  . . . . . . . . 1--15
                  Yuzuru Kakuda   The role of a filter quantifier in set
                                  theory . . . . . . . . . . . . . . . . . 16--95
              Hiroaki Katsutani   Syntactical simulation of many-valued
                                  logic  . . . . . . . . . . . . . . . . . 96--119
              Satoshi Kobayashi   Consistency of Beeson's formal system
                                  RPS and some related results . . . . . . 120--140
                 Mamoru Shimoda   Elementary properties of a system of
                                  fundamental sequences for $ \Gamma_0 $   141--152
             Juichi Shinoda and   
             Theodore A. Slaman   The continuum hypothesis and the theory
                                  of the Kleene degrees  . . . . . . . . . 153--177
         Theodore A. Slaman and   
                 W. Hugh Woodin   $ \Sigma_1 $-collection and the finite
                                  injury priority method . . . . . . . . . 178--188
              Tomoyuki Yamakami   Computational complexity of languages
                                  counting random oracles  . . . . . . . . 189--202
                  Mariko Yasugi   Infinitesimal calculus interpreted in
                                  infinitary logic . . . . . . . . . . . . 203--220


Lecture Notes in Mathematics
Volume 1389, 1989

                 E. Arrondo and   
                M. Pedreira and   
                        I. Sols   On regular and stable ruled surfaces in
                                  $ P^3 $  . . . . . . . . . . . . . . . . 1--15
                   R. Hernandez   Appendix to ``On regular and stable
                                  ruled surfaces in $ P^3 $''  . . . . . . 16--18
            Giorgio Bolondi and   
           Juan Carlos Migliore   Configurations of linear projective
                                  subvarieties . . . . . . . . . . . . . . 19--31
             Luca Chiantini and   
             Ferruccio Orecchia   Plane sections of arithmetically normal
                                  curves in $ \mathbb {P}^3 $  . . . . . . 32--42
                      Ph. Ellia   Sur les lacunes d'Halphen. (French) []   43--65
                 Carel F. Faber   Some results on the codimension-two Chow
                                  group of the moduli space of stable
                                  curves . . . . . . . . . . . . . . . . . 66--75
                     Mark Green   Restrictions of linear series to
                                  hyperplanes, and some results of
                                  Macaulay and Gotzmann  . . . . . . . . . 76--86
       André Hirschowitz   La Rationalité des schémas de Hilbert de
                                  courbes gauches rationnelles suivant
                                  Katsylo. (French) [] . . . . . . . . . . 87--90
       André Hirschowitz   Cohérence et dualité sur le gros site de
                                  Zariski. (French) [] . . . . . . . . . . 91--102
                 A. Hirschowitz   Nouvelles fonctions constructibles et
                                  rang des images directes. (French) []    103--111
                   Monica Id\`a   Generating six skew lines in $ \mathbb
                                  {P}^3 $  . . . . . . . . . . . . . . . . 112--127
                  Jan O. Kleppe   Liaison of families of subschemes in $
                                  P^n $. . . . . . . . . . . . . . . . . . 128--173
                     G. Martens   On curves on $ K 3 $ surfaces  . . . . . 174--182
            Emilia Mezzetti and   
               Gianni Sacchiero   Gonality and Hilbert schemes of smooth
                                  curves . . . . . . . . . . . . . . . . . 183--194
                J. M. Miret and   
       S. Xambó Descamps   Geometry of complete cuspidal plane
                                  cubics . . . . . . . . . . . . . . . . . 195--234
       Rosa M. Miró-Roig   Unobstructed arithmetically Buchsbaum
                                  curves . . . . . . . . . . . . . . . . . 235--241
             Gian Pietro Pirola   On the Néron--Severi groups of the
                                  surfaces of special divisors . . . . . . 242--245
                        Ziv Ran   Deformations of maps . . . . . . . . . . 246--253
            Frank-Olaf Schreyer   Green's conjecture for general $P$-gonal
                                  curves of large genus  . . . . . . . . . 254--260
            Gerard van der Geer   On rank-$1$ degenerations of Abelian
                                  varieties  . . . . . . . . . . . . . . . 261--269


Lecture Notes in Mathematics
Volume 1390, 1989

               S. Albeverio and   
      R. Hòegh-Krohn and   
                  H. Holden and   
                     T. Kolsrud   A covariant Feynman--Kac formula for
                                  unitary bundles over Euclidean space . . 1--12
               Alain Bensoussan   On the integrated formulation of Zakai
                                  and Kushner equations  . . . . . . . . . 13--23
            Vivek S. Borkar and   
               Sanjoy K. Mitter   Lattice approximation in the stochastic
                                  quantization of $ (\phi^4)_2 $ fields    24--32
   Mireille Chaleyat-Maurel and   
               Dominique Michel   The support of the density of a filter
                                  in the uncorrelated case . . . . . . . . 33--41
                 P. L. Chow and   
                  J.-L. Menaldi   Variational inequalities for the control
                                  of stochastic partial differential
                                  equations  . . . . . . . . . . . . . . . 42--52
           Donald A. Dawson and   
              Luis G. Gorostiza   Generalized solutions of stochastic
                                  evolution equations  . . . . . . . . . . 53--65
                 Amir Dembo and   
                  Ofer Zeitouni   On the relation of anticipative
                                  Stratonovich and symmetric integrals: a
                                  decomposition formula  . . . . . . . . . 66--76
               Alberto Frigerio   Some applications of quantum probability
                                  to stochastic differential equations in
                                  Hilbert space  . . . . . . . . . . . . . 77--90
                 I. Gyöngy   The stability of stochastic partial
                                  differential equations and applications.
                                  Theorems on supports . . . . . . . . . . 91--118
              G. Kallianpur and   
          V. Pérez-Abreu   Weak convergence of solutions of
                                  stochastic evolution equations on
                                  nuclear spaces . . . . . . . . . . . . . 119--131
                Peter Kotelenez   A stochastic reaction-diffusion model    132--137
                 Hui-Hsiung Kuo   Stochastic partial differential
                                  equations of generalized Brownian
                                  functionals  . . . . . . . . . . . . . . 138--146
                    P.-L. Lions   Viscosity solutions of fully nonlinear
                                  second order equations and optimal
                                  stochastic control in infinite
                                  dimensions. Part II: Optimal control of
                                  Zakai's equation . . . . . . . . . . . . 147--170
Sylvie Méléard and   
       Sylvie Roelly-Coppoletta   A generalized equation for a continuous
                                  measure branching process  . . . . . . . 171--185
              David Nualart and   
Ali Süleyman Üstünel   Mesures cylindriques et distributions
                                  sur l'espace de Wiener. (French) []  . . 186--191
                 D. Nualart and   
                       M. Zakai   A summary of some identities of the
                                  Malliavin calculus . . . . . . . . . . . 192--196
               Daniel Ocone and   
         Étienne Pardoux   A Lie algebraic criterion for
                                  non-existence of finite dimensionally
                                  computable filters . . . . . . . . . . . 197--204
                 Mauro Piccioni   A generalization of Wahba's theorem on
                                  the equivalence between spline smoothing
                                  and Bayesian estimation  . . . . . . . . 205--220
                 Philip Protter   A connection between the expansion of
                                  filtrations and Girsanov's theorem . . . 221--224
      Kay-Uwe Schaumlöffel   White noise in space and time as the
                                  time-derivative of a cylindrical Wiener
                                  process  . . . . . . . . . . . . . . . . 225--229


Lecture Notes in Mathematics
Volume 1391, 1989

             Jean-Christian Alt   Une forme générale de la loi forte des
                                  grands nombres pour des variables
                                  aléatoires vectorielles. (French) []  . . 1--15
             Artur Bartoszewicz   On some sufficient conditions for the
                                  existence of a consistent test in
                                  noncommutative statistics  . . . . . . . 16--22
              T. Byczkowski and   
                     P. Graczyk   Lévy--Kchinchine formula on vector spaces 23--32
            S. A. Chobanyan and   
              G. J. Georgobiani   A problem on rearrangements of summands
                                  in normed spaces and Rademacher sums . . 33--46
    Sándor Csörg\Ho   An extreme-sum approximation to
                                  infinitely divisible laws without a
                                  normal component . . . . . . . . . . . . 47--58
          Philip Feinsilver and   
             René Schott   An operator approach to processes on Lie
                                  groups . . . . . . . . . . . . . . . . . 59--65
                Xavier Fernique   Régularité de fonctions aléatoires
                                  Gaussiennes stationnaires \`a valeurs
                                  vectorielles. (French) []  . . . . . . . 66--73
        Evarist Giné and   
                      Joel Zinn   $ L_p $ multipliers in the central limit
                                  theorem with $p$-stable limit  . . . . . 74--81
                 M. G. Hahn and   
                  J. Kuelbs and   
                   D. C. Weiner   A universal law of the iterated
                                  logarithm for trimmed and censored sums  82--98
                       W. Hazod   On the decomposability group of a
                                  convolution semigroup  . . . . . . . . . 99--111
                      Ewa Hensz   Strong laws of large numbers for
                                  orthogonal sequences in von Neumann
                                  algebras . . . . . . . . . . . . . . . . 112--124
                       R. Jajte   Strong laws of large numbers for several
                                  contractions in a von Neumann algebra    125--139
              Zbigniew J. Jurek   Linear supports and absolute continuity
                                  of certain random integrals  . . . . . . 140--147
                   Raoul LePage   Conditional moments for coordinates of
                                  stable vectors . . . . . . . . . . . . . 148--152
                   Raoul LePage   Appendix Multidimensional infinitely
                                  divisible variables and processes. Part
                                  I: Stable case . . . . . . . . . . . . . 153--163
             M. Lewandowski and   
                       W. Linde   Real translates of complex measures  . . 164--177
                Andrzej \Luczak   Banach space-valued Gleason measures on
                                  von Neumann algebras . . . . . . . . . . 178--190
             Andrzej M\kadrecki   On the $p$-Lévy--Baxter property and its
                                  applications . . . . . . . . . . . . . . 191--199
                 A. Makagon and   
                      H. Salehi   Notes on infinite dimensional stationary
                                  sequences  . . . . . . . . . . . . . . . 200--238
              Mauro Marques and   
              Stamatis Cambanis   Admissible and singular translates of
                                  stable processes . . . . . . . . . . . . 239--257


Lecture Notes in Mathematics
Volume 1392, 1989

                  Robert Silhol   Preliminaries on real algebraic
                                  varieties  . . . . . . . . . . . . . . . 1--26
                  Robert Silhol   General results on real algebraic
                                  surfaces . . . . . . . . . . . . . . . . 27--55
                  Robert Silhol   Algebraic cycles on real varieties and
                                  application to rational surfaces . . . . 56--74
                  Robert Silhol   Digression on real abelian varieties and
                                  classification of real abelian surfaces  75--94
                  Robert Silhol   Real ruled surfaces  . . . . . . . . . . 95--108
                  Robert Silhol   Rational real surfaces . . . . . . . . . 109--138
                  Robert Silhol   Real elliptic surfaces . . . . . . . . . 139--177
                  Robert Silhol   Real $ K_3 $ surfaces  . . . . . . . . . 178--200


Lecture Notes in Mathematics
Volume 1393, 1989

                Gustave Choquet   L'Oeuvre de Marcel Brelot (1903--1987).
                                  (French) []  . . . . . . . . . . . . . . 1--23
                 Ömer Akin   Boundary behaviour of solutions to the
                                  Generalised Weinstein Equation . . . . . 24--38
                 N. Bouleau and   
                      F. Hirsch   On the derivability, with respect to the
                                  initial data, of the solution of a
                                  stochastic differential equation with
                                  Lipschitz coefficients . . . . . . . . . 39--57
                      A. Daoudi   Étude de fonctions de Green associées \`a
                                  des opérateurs elliptiques \`a
                                  coéfficients complexes. (French) [] . . . 58--71
                  A. Daoudi and   
                       M. Zahid   Approximation discr\`ete de mesures dans
                                  un espace harmonique. (French) []  . . . 72--77
                 C. Dellacherie   Sur la caractérisation des noyaux
                                  potentiels. (French) []  . . . . . . . . 78--95
                   D. Feyel and   
              A. de La Pradelle   Cônes et noyaux locaux. (French) [Cones
                                  and local kernels] . . . . . . . . . . . 96--116
                Wolfhard Hansen   Valeurs propres pour l'opérateur de
                                  Schrödinger. (French) []  . . . . . . . . 117--134
                 Mohamed Hmissi   Semi-groupes deterministes . . . . . . . 135--144
              Josef Král   Probl\`eme de Neumann faible avec
                                  condition fronti\`ere dans $ L^1 $.
                                  (French) []  . . . . . . . . . . . . . . 145--160
                       G. Lumer   Équations de diffusion dans des domaines
                                  $ (x, t) $ non-cylindriques et
                                  semi-groupes `espace-temps'. (French) [] 161--180
                      H. Maagli   Perturbation et subordination des
                                  semi-groupes. (French) []  . . . . . . . 181--195
              A. de la Pradelle   Erratum et Addendum \`a `Sur la
                                  subordination des Résolvantes'
                                  `Résolvantes complexes et potentiels
                                  intrins\`eques'. (French) [] . . . . . . 196--201
              A. de La Pradelle   Potentiels de Green sur les ouverts
                                  fins. (French) []  . . . . . . . . . . . 202--215
               Jean-Pierre Roth   Le probl\`eme du nuage de glace.
                                  (French) []  . . . . . . . . . . . . . . 216--225
                  Jorge Salazar   Lignes de Green et fronti\`ere de R. S.
                                  Martin en quelques cas particuliers.
                                  (French) []  . . . . . . . . . . . . . . 226--242
                       M. Zahid   Comparaison de noyaux de Schrödinger.
                                  (French) [Comparison of Schrödinger
                                  nuclei]  . . . . . . . . . . . . . . . . 243--255
                  Zhang Yi-ping   Ensembles équivalents \`a un point
                                  fronti\`ere dans un domaine
                                  lipschitzien. (French) []  . . . . . . . 256--265


Lecture Notes in Mathematics
Volume 1394, 1989

              John A. Burns and   
           Terry L. Herdman and   
                     Janos Turi   State-space formulation for functional
                                  differential equations of neutral-type   1--10
                 Robert Carroll   Some remarks on forced integrable
                                  systems  . . . . . . . . . . . . . . . . 11--17
           Thierry Cazenave and   
               Fred B. Weissler   Some remarks on the nonlinear Schrödinger
                                  equation in the critical case  . . . . . 18--29
                 H. H. Chen and   
                      J. E. Lin   On the integrability of nonlinear
                                  evolution equations  . . . . . . . . . . 30--43
                    Hans Engler   On quasilinear hyperbolic
                                  integrodifferential equations in
                                  unbounded domains  . . . . . . . . . . . 44--55
           W. E. Fitzgibbon and   
                   J. J. Morgan   Positive solutions for semilinear
                                  elliptic systems . . . . . . . . . . . . 56--67
        Jerome A. Goldstein and   
    Gis\`ele Ruíz Rieder   Recent rigorous results in Thomas--Fermi
                                  theory . . . . . . . . . . . . . . . . . 68--82
                  Fern Hunt and   
               Francis Sullivan   Methods of computing fractal dimensions  83--95
          Robert H. Martin, Jr.   Asymptotic behavior of solutions to
                                  quasimonotone parabolic systems  . . . . 96--116
                    Jeff Morgan   Global existence for semilinear
                                  parabolic systems via Lyapunov type
                                  methods  . . . . . . . . . . . . . . . . 117--121
         Esteban I. Poffald and   
                   Simeon Reich   A difference inclusion . . . . . . . . . 122--130
María J. Rodríguez and   
            Luis Vázquez   Spectrum estimations for the generalized
                                  quantum Henon--Heiles system . . . . . . 131--135
                 Eric Schechter   A survey of local existence theories for
                                  abstract nonlinear initial value
                                  problems . . . . . . . . . . . . . . . . 136--184
              Thomas I. Seidman   The transient semiconductor problem with
                                  generation terms, II . . . . . . . . . . 185--198
              Thomas I. Seidman   Switching systems and periodicity  . . . 199--210
              Michael W. Smiley   Breathers for the sine-Gordon equation   211--217
                    Andrew Vogt   The Riccati equation revisited . . . . . 218--233


Lecture Notes in Mathematics
Volume 1395, 1989

                   Paul Erd\Hos   Ramanujan and I  . . . . . . . . . . . . 1--17
                  J. L. Nicolas   Appendix: On composite numbers . . . . . 18--20
            Krishnaswami Alladi   The distribution of additive functions
                                  in special sets of integers  . . . . . . 21--63
              George E. Andrews   An identity of Sylvester and the
                                  Rogers--Ramanujan identities . . . . . . 64--72
          George E. Andrews and   
              Lisa Jacobsen and   
            Bruce C. Berndt and   
             Robert L. Lamphere   Variations on the Rogers--Ramanujan
                                  continued fraction in Ramanujan's
                                  notebooks  . . . . . . . . . . . . . . . 73--83
                  Richard Askey   Beta integrals and the associated
                                  orthogonal polynomials . . . . . . . . . 84--121
                Bruce C. Berndt   Ramanujan and the theory of prime
                                  numbers  . . . . . . . . . . . . . . . . 122--139
              David M. Bressoud   Lattice paths and the Rogers--Ramanujan
                                  identities . . . . . . . . . . . . . . . 140--172
               Basil Gordon and   
                     Dale Sinor   Multiplicative properties of $ \eta
                                  $-products . . . . . . . . . . . . . . . 173--200
             V. Sitaramaiah and   
                 M. V. Subbarao   Some asymptotic formulae involving
                                  powers of arithmetic functions . . . . . 201--234


Lecture Notes in Mathematics
Volume 1396, 1989

                  Luigi Accardi   Cecchini's transition expectations and
                                  Markov chains  . . . . . . . . . . . . . 1--6
                 L. Accardi and   
                        A. Bach   Central limits of squeezing operators    7--19
                 L. Accardi and   
                A. Frigerio and   
                    Yun Gang Lu   On the weak coupling limit problem . . . 20--58
                 L. Accardi and   
        J.-L. Journé and   
                  J. M. Lindsay   On multi-dimensional Markovian cocycles  59--67
                 L. Accardi and   
                   Kalyan Sinha   Quantum stop times . . . . . . . . . . . 68--72
                 L. Accardi and   
                   G. S. Watson   Quantum random walks . . . . . . . . . . 73--88
           Alberto Frigerio and   
                 Carola Aratari   Unitary dilation of a nonlinear quantum
                                  Boltzmann equation . . . . . . . . . . . 89--98
              Sh. A. Ayupov and   
                R. Z. Abdullaev   On isometries of non associative $ L_p
                                  $-spaces . . . . . . . . . . . . . . . . 99--106
              A. Barchielli and   
                     G. Lupieri   Convolution semigroups in quantum
                                  probability and quantum stochastic
                                  calculus . . . . . . . . . . . . . . . . 107--127
                 Carlo Cecchini   Stochastic couplings for von Neumann
                                  algebras . . . . . . . . . . . . . . . . 128--141
                Wojciech Ceg\la   The covering property in a causal logic  142--148
                      M. Fannes   Temperature states of spin-boson models  149--157
              Philip Feinsilver   Bernoulli fields . . . . . . . . . . . . 158--181
                P. Glockner and   
              W. von Waldenfels   The relations of the non-commutative
                                  coefficient algebra of the unitary group 182--220
                      Ewa Hensz   Orthogonal series and strong laws of
                                  large numbers in von Neumann algebras    221--228
                   A. S. Holevo   Limit theorems for repeated measurements
                                  and continuous measurement processes . . 229--255
                   R. L. Hudson   Quantum diffusions on the algebra of all
                                  bounded operators on a Hilbert space . . 256--269
                       R. Jajte   Asymptotic formula for normal operators
                                  in non-commutative $ L_2 $-spaces  . . . 270--278
               Adam Paszkiewicz   Convergences in $ W* $-algebras ---
                                  Their strange behaviour and tools for
                                  their investigation  . . . . . . . . . . 279--294
              Dénes Petz   Positive mappings on matrix algebras . . 295--303


Lecture Notes in Mathematics
Volume 1397, 1989

             C. W. Clenshaw and   
             F. W. J. Olver and   
                   P. R. Turner   Level-Index Arithmetic: an Introductory
                                  Survey . . . . . . . . . . . . . . . . . 95--168


Lecture Notes in Mathematics
Volume 1398, 1989

                Bernhard Amberg   Infinite factorized groups . . . . . . . 1--24
           Seymour Bachmuth and   
                H. Y. Mochizuki   Infinite generation of automorphism
                                  groups . . . . . . . . . . . . . . . . . 25--28
               Peter Bergau and   
                       D. Garbe   Non-orientable and orientable regular
                                  maps . . . . . . . . . . . . . . . . . . 29--42
           Emilio Bujalance and   
            J. A. Bujalance and   
               G. Gromadzki and   
                    E. Martinez   The groups of automorphisms of
                                  non-orientable hyperelliptic Klein
                                  surfaces without boundary  . . . . . . . 43--51
          Colin M. Campbell and   
            E. F. Robertson and   
                   R. M. Thomas   On certain one-relator products of
                                  cyclic groups  . . . . . . . . . . . . . 52--64
          Colin M. Campbell and   
            E. F. Robertson and   
                 P. D. Williams   Efficient presentations for finite
                                  simple groups and related groups . . . . 65--72
                   Jung Rae Cho   On $n$-groupoids defined on fields . . . 73--81
                 C. Kanta Gupta   Automorphisms of certain relatively free
                                  solvable groups  . . . . . . . . . . . . 82--85
                   Narain Gupta   Higher dimension subgroups . . . . . . . 86--93
                     Noboru Ito   Doubly regular asymmetric digraphs with
                                  rank $5$ automorphism groups . . . . . . 94--99
             Naoki Kawamoto and   
                      N. Nomura   Extensions of the class of Lie algebras
                                  with the lattice of subideals  . . . . . 100--105
               Reyadh R. Khazal   A note on maximal subgroups in finite
                                  groups . . . . . . . . . . . . . . . . . 106--109
            Patrizia Longobardi   On groups with a permutational property
                                  on commutators . . . . . . . . . . . . . 110--116
               Jens L. Mennicke   On Fibonacci groups and some other
                                  groups . . . . . . . . . . . . . . . . . 117--123
               Peter M. Neumann   Pathology in the representation theory
                                  of infinite soluble groups . . . . . . . 124--139
              Jae Keol Park and   
            Klaus W. Roggenkamp   A characterization of hereditary P.I.
                                  rings  . . . . . . . . . . . . . . . . . 140--145
               Stephen J. Pride   Some problems in combinatorial group
                                  theory . . . . . . . . . . . . . . . . . 146--155
             Akbar H. Rhemtulla   Groups with many elliptic subgroups  . . 156--162
           Derek J. S. Robinson   Reflections on the constructive theory
                                  of polycyclic groups . . . . . . . . . . 163--169
            Gerhard Rosenberger   Minimal generating systems for plane
                                  discontinuous groups and an equation in
                                  free groups  . . . . . . . . . . . . . . 170--186


Lecture Notes in Mathematics
Volume 1399, 1989

          Alf Bjòrn Aure   Surfaces on quintic threefolds
                                  associated to the Horrocks--Mumford
                                  bundle . . . . . . . . . . . . . . . . . 1--9
                 Fabio Bardelli   Curves of genus three on a general
                                  Abelian threefold and the non-finite
                                  generation of the Griffiths group  . . . 10--26
           Arnaud Beauville and   
                Olivier Debarre   Sur les fonctions thêta du second ordre.
                                  (French) []  . . . . . . . . . . . . . . 27--39
                Olivier Debarre   Une démonstration élémentaire du théor\`eme
                                  de Torelli pour les intersections de
                                  trois quadriques génériques de dimension
                                  impaire. (French) [An elementary proof
                                  of the theorem of Torelli to the
                                  intersections of three quadrics of
                                  generic odd dimension] . . . . . . . . . 40--47
            Bert van Geemen and   
             Jürgen Werner   Nodal quintics in $ P^4 $  . . . . . . . 48--59
                R.-P. Holzapfel   Volumes of fundamental domains of Picard
                                  modular groups . . . . . . . . . . . . . 60--88
                 Ronnie Lee and   
            Steven H. Weintraub   The Siegel modular variety of degree two
                                  and level four: a report . . . . . . . . 89--102
               D. W. Masser and   
               G. Wüstholz   Some effective estimates for elliptic
                                  curves . . . . . . . . . . . . . . . . . 103--109
                  C. Peters and   
                   J. Stienstra   A pencil of $ K3 $-surfaces related to
                                  Apéry's recurrence for $ \zeta (3) $ and
                                  Fermi surfaces for potential zero  . . . 110--127
                     Karl Rubin   The work of Kolyvagin on the arithmetic
                                  of elliptic curves . . . . . . . . . . . 128--136
                    Chad Schoen   Cyclic covers of $ P^v $ branched along
                                  $ v + 2 $ hyperplanes and the
                                  generalized Hodge Conjecture for certain
                                  Abelian varieties  . . . . . . . . . . . 137--154
               Rainer Weissauer   On the cohomology of Siegel modular
                                  threefolds . . . . . . . . . . . . . . . 155--170


Lecture Notes in Mathematics
Volume 1401, 1989

                 Murray G. Bell   Spaces of ideals of partial functions    1--4
           James E. Baumgartner   Remarks on partition ordinals  . . . . . 5--17
                  Andreas Blass   Applications of superperfect forcing and
                                  its relatives  . . . . . . . . . . . . . 18--40
              Donna M. Carr and   
            Donald H. Pelletier   Towards a structure theory for ideals on
                                  $ P_\kappa \lambda $ . . . . . . . . . . 41--54
                       Alan Dow   Compact spaces of countable tightness in
                                  the Cohen model  . . . . . . . . . . . . 55--67
           Fons van Engelen and   
              Kenneth Kunen and   
               Arnold W. Miller   Two remarks about analytic sets  . . . . 68--72
               Frantisek Franek   Saturated ideals obtained via restricted
                                  iterated collapse of huge cardinals  . . 73--96
                   Neil Hindman   Ultrafilters and Ramsey theory --- an
                                  update . . . . . . . . . . . . . . . . . 97--118
                   Pierre Matet   Concerning stationary subsets of $
                                  [\lambda]^{ < \kappa } $  . . . . . . . . 119--127
                   Zs. Nagy and   
                     S. Purisch   When hereditarily collectionwise
                                  Hausdorffness implies regularity . . . . 128--134
                Peter J. Nyikos   Classes of compact sequential spaces . . 135--159
               Chaz Schlindwein   Special non-special $ N_1 $-trees  . . . 160--166
                 Saharon Shelah   Consistency of positive partition
                                  theorems for graphs and models . . . . . 167--193
               Franklin D. Tall   Topological problems for set-theorists   194--200
             William S. Zwicker   A beginning for structural properties of
                                  ideals on $ P_\kappa \lambda $ . . . . . 201--217


Lecture Notes in Mathematics
Volume 1402, 1989

          Sa\"\id Benachour and   
         Alain Yves Le Roux and   
      Marie-Noëlle Le Roux   Approximation to nonlinear convection
                                  diffusion equations  . . . . . . . . . . 1--11
                       A. Lerat   Difference schemes for nonlinear
                                  hyperbolic systems --- a general
                                  framework  . . . . . . . . . . . . . . . 12--29
              Matania Ben-Artzi   Numerical calculations of reacting flows 30--36
               A. Bourgeade and   
                H. Jourdren and   
                      J. Ovadia   Probl\`eme de Riemann en hydrodynamique
                                  et applications. (French) [] . . . . . . 37--55
            D. d'Humi\`eres and   
               P. Lallemand and   
                     Y. H. Qian   Review of flow simulations using lattice
                                  gases  . . . . . . . . . . . . . . . . . 56--68
             B. Larrouturou and   
               L. Fézoui   On the equations of multi-component
                                  perfect of real gas inviscid flow  . . . 69--98
                 Alain Bachelot   Global existence of large amplitude
                                  solutions for Dirac--Klein--Gordon
                                  systems in Minkowski space . . . . . . . 99--113
               Jean-Michel Bony   Analyse microlocale et singularités non
                                  linéaires. (French) []  . . . . . . . . . 114--127
           D. Christodoulou and   
                  S. Klainerman   The nonlinear stability of the Minkowski
                                  metric in general relativity . . . . . . 128--145
           Ronald A. DeVore and   
              Bradley J. Lucier   High order regularity for solutions of
                                  the inviscid Burgers equation  . . . . . 147--154
                     Fritz John   Solutions of quasi-linear wave equations
                                  with small initial data  . . . . . . . . 155--184
        Barbara Lee Keyfitz and   
             Herbert C. Kranzer   A viscosity approximation to a system of
                                  conservation laws with no classical
                                  Riemann solution . . . . . . . . . . . . 185--197
                Ta-tsien Li and   
                   Yun-mei Chen   Global classical solutions to the Cauchy
                                  problem for nonlinear wave equations . . 198--202
             G. Métivier   Ondes de choc, ondes de raréfaction et
                                  ondes soniques multidimensionnelles.
                                  (French) []  . . . . . . . . . . . . . . 203--215
        Guy Métivier and   
                  Jeffrey Rauch   The interaction of two progressing waves 216--226
             Rodolfo R. Rosales   Diffraction effects in weakly nonlinear
                                  detonation waves . . . . . . . . . . . . 227--239


Lecture Notes in Mathematics
Volume 1403, 1989

            Peter L. Hammer and   
                  Bruno Simeone   Quadratic functions of binary variables  1--56
               Ellis L. Johnson   On binary group problems having the
                                  Fulkerson property . . . . . . . . . . . 57--112
                  O. Goecke and   
                   B. Korte and   
               L. Lovász   Examples and algorithmic properties of
                                  greedoids  . . . . . . . . . . . . . . . 113--161
               Eugene L. Lawler   Combinatorial structures and
                                  combinatorial optimization . . . . . . . 162--197
                  Claudio Arbib   A polynomial algorithm for partitioning
                                  line-graphs  . . . . . . . . . . . . . . 198--208
                J. Bisschop and   
                 B. Dorhout and   
                        A. Drud   Structural dependence and systems of
                                  equations  . . . . . . . . . . . . . . . 209--224
              Paul Chaillou and   
              Pierre Hansen and   
                    Yvon Mahieu   Best network flow bounds for the
                                  quadratic knapsack problem . . . . . . . 225--235
               Michele Conforti   ($ K_4$-$e$)-free perfect graphs and
                                  star cutsets . . . . . . . . . . . . . . 236--253
               P. L. Hammer and   
                   B. Kalantari   A bound on the roof-duality gap  . . . . 254--257
                Sang Nguyen and   
             Stefano Pallottino   Hyperpaths and shortest hyperpaths . . . 258--271
          Wiktor Piotrowski and   
               Maciej M. Sys\lo   A characterization of centroidal graphs  272--281
                   Pawel Winter   Topological network synthesis  . . . . . 282--303
             Rodolfo R. Rosales   Front Matter . . . . . . . . . . . . . . ??


Lecture Notes in Mathematics
Volume 1404, 1989

              Ibrahim Assem and   
           Andrzej Skowro\'nski   Alg\`ebres pre-inclinées et catégories
                                  dérivées. (French) []  . . . . . . . . . . 1--34
        Ranee Kathryn Brylinski   Stable calculus of the mixed tensor
                                  character I  . . . . . . . . . . . . . . 35--94
             Vlastimil Dlab and   
           Claus Michael Ringel   Filtrations of right ideals related to
                                  projectivity of left ideals  . . . . . . 95--107
                  Dieter Happel   Hochschild cohomology of
                                  finite-dimensional algebras  . . . . . . 108--126
                Lieven Le Bruyn   Simultaneous equivalence of square
                                  matrices . . . . . . . . . . . . . . . . 127--136
            Jan-Erik Björk   The Auslander condition on Noetherian
                                  rings  . . . . . . . . . . . . . . . . . 137--173
                    P. Carbonne   Groupe des classes de diviseurs des
                                  alg\`ebres graduées normales. (French) [] 174--200
             S. C. Coutinho and   
                  M. P. Holland   Differential operators on smooth
                                  varieties  . . . . . . . . . . . . . . . 201--219
      Eva Kristina Ekström   The Auslander condition on graded and
                                  filtered Noetherian rings  . . . . . . . 220--245
              Timothy J. Hodges   $K$-theory of Noetherian rings . . . . . 246--268
              Thierry Levasseur   Operateurs differentiels sur les
                                  surfaces munies d'une bonne $ \mathbb
                                  {C} $*-action. (French) [] . . . . . . . 269--295
                  Huishi Li and   
           Freddy Van Oystaeyen   Strongly filtered rings applied to
                                  Gabber's integrability theorem and
                                  modules with regular singularities . . . 296--321
              Louis Halle Rowen   Primitive ideals of algebras over
                                  uncountable fields . . . . . . . . . . . 322--345
                 Danielle Couty   Formes réduites des automorphismes
                                  analytiques de $ \mathbb {C}^n $ \`a
                                  variété linéaire fixe et répulsive. (French)
                                  [] . . . . . . . . . . . . . . . . . . . 346--410


Lecture Notes in Mathematics
Volume 1405, 1989

                  C. Fraley and   
                     J.-P. Vial   Numerical study of projective methods
                                  for linear programming . . . . . . . . . 25--38
                       F. Jarre   On the method of analytic centers for
                                  solving smooth convex programs . . . . . 69--86
                 P. Loridan and   
                      J. Morgan   $ \epsilon $-Regularized two-level
                                  optimization problems: approximation and
                                  existence results  . . . . . . . . . . . 99--113
                        C. Roos   An $ {O(n^3 L)} $ approximate center
                                  method for linear programming  . . . . . 147--158
             Jean-Philippe Vial   A unified approach to projective
                                  algorithms for linear programming  . . . 191--220


Lecture Notes in Mathematics
Volume 1406, 1989

              S. Clement Cooper   $ \delta $-Fraction solutions to Riccati
                                  equations  . . . . . . . . . . . . . . . 1--17
                  R. M. Hovstad   Irrational continued fractions . . . . . 18--24
              Lisa Jacobsen and   
                W. J. Thron and   
               Haakon Waadeland   Julius Worpitzky, his contributions to
                                  the analytic theory of continued
                                  fractions and his times  . . . . . . . . 25--47
           William B. Jones and   
             Nancy J. Wyshinski   Positive $T$-fraction expansions for a
                                  family of special functions  . . . . . . 48--66
                 John H. McCabe   On continued fractions associated with
                                  polynomial type Padé approximants, with
                                  an application . . . . . . . . . . . . . 67--75
             Olav Njåstad   Multipoint Padé approximants and related
                                  continued fractions  . . . . . . . . . . 76--87
             Olav Njåstad   A survey of some results on separate
                                  convergence of continued fractions . . . 88--115
         Olav Njåstad and   
               Haakon Waadeland   Some remarks on nearness problems for
                                  continued fraction expansions  . . . . . 116--123
                    W. J. Thron   Continued fraction identities derived
                                  from the invariance of the crossratio
                                  under l.f.t. . . . . . . . . . . . . . . 124--134
               Haakon Waadeland   Boundary versions of Worpitzky's Theorem
                                  and of parabola theorems . . . . . . . . 135--142


Lecture Notes in Mathematics
Volume 1407, 1989

                Wolfram Pohlers   Front Matter . . . . . . . . . . . . . . I--VIII
                Wolfram Pohlers   Introduction . . . . . . . . . . . . . . 1--6
                Wolfram Pohlers   Ordinal Analysis of Pure Number Theory   7--76
                Wolfram Pohlers   The autonomous ordinal of the infinitary
                                  system $ Z_\infty $ and the limits of
                                  predicativity  . . . . . . . . . . . . . 77--108
                Wolfram Pohlers   Ordinal analysis of the formal theory
                                  for noniterated inductive definitions    109--186
                Wolfram Pohlers   Back Matter  . . . . . . . . . . . . . . 187--213


Lecture Notes in Mathematics
Volume 1408, 1989

             Wolfgang Lück   Geometrically defined invariants . . . . 1--155
             Wolfgang Lück   Algebraically defined invariants . . . . 156--304
             Wolfgang Lück   $ R \Gamma $-modules and geometry  . . . 305--412
             Wolfgang Lück   Front Matter . . . . . . . . . . . . . . ??
             Wolfgang Lück   Back Matter  . . . . . . . . . . . . . . ??


Lecture Notes in Mathematics
Volume 1409, 1989

               Ernst Hairer and   
               Michel Roche and   
               Christian Lubich   Description of differential-algebraic
                                  problems . . . . . . . . . . . . . . . . 1--13
               Ernst Hairer and   
               Michel Roche and   
               Christian Lubich   Runge--Kutta methods for
                                  differential-algebraic equations . . . . 14--22
               Ernst Hairer and   
               Michel Roche and   
               Christian Lubich   Convergence for index 1 problems . . . . 23--29
               Ernst Hairer and   
               Michel Roche and   
               Christian Lubich   Convergence for index 2 problems . . . . 30--54
               Ernst Hairer and   
               Michel Roche and   
               Christian Lubich   Order conditions of Runge--Kutta methods
                                  for index $2$ systems  . . . . . . . . . 55--70
               Ernst Hairer and   
               Michel Roche and   
               Christian Lubich   Convergence for index 3 problems . . . . 71--91
               Ernst Hairer and   
               Michel Roche and   
               Christian Lubich   Solution of nonlinear systems by
                                  simplified Newton  . . . . . . . . . . . 92--98
               Ernst Hairer and   
               Michel Roche and   
               Christian Lubich   Local error estimation . . . . . . . . . 99--105
               Ernst Hairer and   
               Michel Roche and   
               Christian Lubich   Examples of differential-algebraic
                                  systems and their solution . . . . . . . 106--123


Lecture Notes in Mathematics
Volume 1410, 1989

                   N. Alamo and   
                F. Gómez   Smooth toral actions on principal
                                  bundles and characteristic classes . . . 1--26
                    Akira Asada   Integrable forms on iterated loop spaces
                                  and higher dimensional non Abelian de
                                  Rham theory. (French) [] . . . . . . . . 27--51
                  Thierry Aubin   Métriques d'Einstein--Kähler. (French) []  52--59
                  Manuel Barros   Spherical finite type submanifolds.
                                  Applications . . . . . . . . . . . . . . 60--70
                   Peter Bryant   Representing the super Virasoro algebra
                                  by meromorphic vectorfields on the
                                  graded Riemann sphere  . . . . . . . . . 71--76
                  P. Bueken and   
                    L. Vanhecke   Algebraic characterizations by means of
                                  the curvature in contact geometry  . . . 77--86
            Vicente Cervera and   
       Francisca Mascaró   Some results on the normal subgroups of
                                  $ {\rm Diff}^\Omega (X \times \mathbb
                                  {R}^+, {\rm rel} X \times [0]) $ . . . . 87--93
            Vicente Cervera and   
   Francisca Mascaró and   
                  Rafael Sivera   On volume elements on a non-compact
                                  manifold . . . . . . . . . . . . . . . . 94--99
     Carlos Currás-Bosch   On codimension-one foliations  . . . . . 100--107
          René Deheuvels   Une application des alg\`ebres de
                                  Clifford. (French) []  . . . . . . . . . 108--120
          Christel Dittrich and   
                   Rolf Sulanke   Möbius geometry VI. Characterization of
                                  the homogeneous tori . . . . . . . . . . 121--127
           Manfredo P. do Carmo   Hypersurfaces of constant mean curvature 128--144
                S. K. Donaldson   Compactification and completion of
                                  Yang--Mills moduli spaces  . . . . . . . 145--160
                Harold Donnelly   Rapid decay of eigenfunctions  . . . . . 161--176
P. L. García Pérez and   
  J. Muñoz Masqué   Differential invariants on the bundles
                                  of $g$-structures  . . . . . . . . . . . 177--201
                Peter B. Gilkey   The eta invariant of even order
                                  operators  . . . . . . . . . . . . . . . 202--211
             S. I. Goldberg and   
                 D. Perrone and   
                 G. Tóth   Curvature of contact Riemannian
                                  three-manifolds with critical metrics    212--222
          Vladislav V. Goldberg   On a linearizability condition for a
                                  three-web on a two-dimensional manifold  223--239
            F. Gómez and   
             M. C. Muñoz   Submanifolds with Euclidean complements  240--248
                Peter W. Michor   Graded derivations of the algebra of
                                  differential forms associated with a
                                  connection . . . . . . . . . . . . . . . 249--261


Lecture Notes in Mathematics
Volume 1411, 1989

                 Thomas Bartsch   Bifurcation theory for metric parameter
                                  spaces . . . . . . . . . . . . . . . . . 1--8
               R. Bielawski and   
           L. Górniewicz   A fixed point index approach to some
                                  differential equations . . . . . . . . . 9--14
              Yu. G. Borisovich   Topological characteristics of infinite-
                                  dimensional mappings and the theory of
                                  fixed points and coincidences  . . . . . 15--23
            Robert F. Brown and   
           Robert E. Greene and   
                 Helga Schirmer   Fixed points of map extensions . . . . . 24--45
                      E. Fadell   Two vignettes in fixed point theory  . . 46--51
                  E. Fadell and   
                 S. Y. Husseini   Index theory for noncompact group
                                  actions with applications to
                                  Borsuk--Ulam theorems  . . . . . . . . . 52--68
            Christian C. Fenske   Fuller's index for periodic solutions of
                                  functional differential equations  . . . 69--74
                G. Fournier and   
                      M. Willem   Simple variational methods for unbounded
                                  potentials . . . . . . . . . . . . . . . 75--82
                John Franks and   
                    David Fried   The Lefschetz function of a point  . . . 83--87
               Philip Heath and   
            Renzo Piccinini and   
                    Chengye You   Nielsen-type numbers for periodic
                                  points, I  . . . . . . . . . . . . . . . 88--106
              Hai-Hua Huang and   
                    Bo-ju Jiang   Braids and periodic solutions  . . . . . 107--123
                 S. Y. Husseini   Coincidences for Grassmannian and
                                  associated spaces  . . . . . . . . . . . 124--129
               Katsuhiro Komiya   Congruences for fixed point indices of
                                  equivariant maps and iterated maps . . . 130--136
           John D. Lafferty and   
                  Yanlin Yu and   
                  Weiping Zhang   Clifford asymptotics and the local
                                  Lefschetz index  . . . . . . . . . . . . 137--142
                    Chao-Qun Li   On solutions of frame mappings into
                                  manifolds  . . . . . . . . . . . . . . . 143--147
               Takashi Matsuoka   The number of periodic orbits of smooth
                                  maps . . . . . . . . . . . . . . . . . . 148--154
                 Minoru Nakaoka   Parametrized Borsuk--Ulam theorems and
                                  characteristic polynomials . . . . . . . 155--170
                      Deyu Tong   On an example of Weier . . . . . . . . . 171--181
                  Qingyu Yu and   
                        Tian Ma   The positive solutions of quasilinear
                                  elliptic boundary value problem  . . . . 182--188
                    Xuezhi Zhao   A relative Nielsen number for the
                                  complement . . . . . . . . . . . . . . . 189--199
                Peter W. Michor   Front Matter . . . . . . . . . . . . . . ??
                    Xuezhi Zhao   Back Matter  . . . . . . . . . . . . . . ??


Lecture Notes in Mathematics
Volume 1412, 1989

                 S. V. Arkhipov   The density function's asymptotic
                                  representation in the case of
                                  multidimensional strictly stable
                                  distributions  . . . . . . . . . . . . . 1--21
                 I. Factorovich   Limiting behaviour of the sum of I.I.D.
                                  random variables and its terms of
                                  greatest moduli in the case of
                                  logarithmic type tall function . . . . . 22--32
                 Ts. G. Hahubia   On the adaptive estimation of change
                                  points . . . . . . . . . . . . . . . . . 33--49
                L. G. Hanin and   
                 R. E. Goot and   
            A. Yu. Yakovlev and   
                   S. T. Rachev   Precise upper bounds for the functionals
                                  describing tumour treatment efficiency   50--67
                    A. M. Kagan   A multivariate analog of the Cramér
                                  theorem on components of the Gaussian
                                  distributions  . . . . . . . . . . . . . 68--77
                    F. M. Kagan   A refinement of Lukacs theorems  . . . . 78--82
          V. V. Kalashnikov and   
 S. Yu. Vsekhsvyat\cydotski\u\i   On the connection of Renyi's theorem and
                                  renewal theory . . . . . . . . . . . . . 83--102
             L. B. Klebanov and   
              J. A. Melamed and   
                   S. T. Rachev   On the products of a random number of
                                  random variables in connection with a
                                  problem from mathematical economics  . . 103--109
                 V. Yu. Korolev   The asymptotic distributions of random
                                  sums . . . . . . . . . . . . . . . . . . 110--123
                  V. M. Kruglov   Normal and degenerate convergences of
                                  random sums  . . . . . . . . . . . . . . 124--136
                V. L. Levin and   
                   S. T. Rachev   New duality theorems for Marginal
                                  problems with some applications in
                                  stochastics  . . . . . . . . . . . . . . 137--171
                 A. D. Lisitsky   Stable random vectors in Hilbert space   172--182
               L. Márkus   The mean's consistent estimation, in the
                                  case random processes, satisfying
                                  partial differential equations . . . . . 183--193
                  J. A. Melamed   Limit theorems in the set up of
                                  summation of a random number of
                                  independent identically distributed
                                  random variables . . . . . . . . . . . . 194--228
               A. V. Nagaev and   
                 S. M. Shkolnik   Some asymptotic properties of the stable
                                  laws . . . . . . . . . . . . . . . . . . 229--238
              M. S. Nikulin and   
                   V. G. Voinov   A chi-square goodness-of-fit test for
                                  exponential distributions of the first
                                  order  . . . . . . . . . . . . . . . . . 239--258
                    E. Nummelin   A conditional weak law of large numbers  259--262
                   A. Obretenov   On the rate of convergence for the
                                  extreme value in the case of
                                  IFR-distributions  . . . . . . . . . . . 263--269
                        E. Omey   On the rate of convergence in extreme
                                  value theory . . . . . . . . . . . . . . 270--279
                 A. Pluci\'nska   Some properties of stochastic processes
                                  with linear regression . . . . . . . . . 280--287


Lecture Notes in Mathematics
Volume 1413, 1989

                   Steve Wright   Introduction . . . . . . . . . . . . . . 1--8
                   Steve Wright   Connes' reduction of the uniqueness
                                  proof to the bicentralizer problem . . . 9--81
                   Steve Wright   Haagerup's solution of the bicentralizer
                                  problem  . . . . . . . . . . . . . . . . 82--105