Functional Analysis II
This volume consists of a long monographic paper by J. Hoffmann-Jorgensen and a number of shorter research papers and survey articles covering different aspects of functional analysis and its application to probability theory and differential equations.
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1242
Functional Analysis II with Contributions by J. Hoffrnann-Jerqensen et al.
Edited by S. Kurepa, H. Kraljevi6 and D. Butkovi6
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Lecture Notes in Mathematics Edited by A Dold and B. Eckmann
1242
Functional Analysis II with Contributions by J. Hoffrnann-Jerqensen et al.
Edited by S. Kurepa, H. Kraljevi6 and D. Butkovi6
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Editors
Davor Butkovi6 Department of Applied Mathematics Electroengineering Faculty Unska 3 41000 Zagreb Yugoslavia Svetozar Kurepa Hrvoje Kraljevi6 Department of Mathematics PO.Box 187 41001 Zagreb Yugoslavia
Mathematics Subject Classification (1980): 10C05, 28A35, 28C20, 39B50, 40C05, 46C05, 46D05, 47 A20, 47B37, 47B50, 60A 10, 60J 10, 60J 25, 60J45 ISBN 3-540-17833-3 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-17833-3 Springer-Verlag New York Berlin Heidelberg
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9, 1965, in its version of June 24, 1985, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1987 Printed in Germany
Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210
FOREWORD This volume contains lecture notes given at postgraduate schoml and conference on Functional Analysis held from November 3 to November 17, 1985, at the Inter-University Center of Postgraduate Studies, Dubrovnik, Yugoslavia. The lectures and communications were devoted to several parts of functional analysis but centered mainly on functional-analytic aspects of probability theory and operator theory on Hilbert and Banach spaces. There were six series of lectures: 1.
Subspaces and operators in Krein spaces, characteristic
functions and related topics, given by A.Dijksma (Unlversity of Groningen), H.Langer (Technische Universitat Dresden) and H.S.V. de Snoo (University of Groningen)j 2. Quadratic and sesquilinear forms, given by S.Kurepa (University of Zagreb) and J.Vukman (University of Maribor); 3. Measure-theoretical topics in probability; the general marginal problem, given by
(Aarhus Universitet)j
4. Markov processes and potential theory, given by Z.R.PopStojanovic and Murali Rao (University of Florida, Gainesville); 5. Unitary representations of the groups
GL(n), given by
H.Kraljevic and M.Tadic (University of Zagreb); 6. On representations of the Heisenberg groups, given by M.Duflo (Universite Paris VII). This volume contains the somewhat enlarged lecture notes of the first four series of lectures. Besides these the volume contains three papers connected with some one-hour lecture
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