Probability Theory on Vector Spaces III Proceedings of a Conference
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Probability Theory on Vector Spaces III Proceedings of a Conference held in Lublin, Poland, August 24-31, 1983
Edited by D. Szynal and A. Weron
Springer-Verlag Berlin Heidelberg New York Tokyo 1984
Editors
Dominik Szynal Institute of Mathematics, Maria Sklodowska-Curle University 20-031 Lublin, Poland Aleksander Weron Institute of Mathematics, Technical University 50-370 Wroc.faw, Poland and Department of Mathematics, Louisiana State University Baton Rouge, Louisiana 70803, USA
AMS Subject Classification (1980): 60 BXX; 28CXX, 46B20, 46EXX, 46L10, 47A20, 47A35, 60E07, 60 FXX, 60GXX, 60HXX, 82A31 ISBN 3-540-13388-7 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-13388-7 Springer-Verlag New York Heidelberg Berlin Tokyo
Library of Congress Cataloging in Publication Data. Main entry under title: Probability theory on vector spaces III. (Lecture notes in mathematics; 1080) Bibliography: p. 1. Probabilities-Congresses. 2. Vector spaces-Congresses. I. Szynal, D. (Dominik), 1933-. II. Weron, A. III. Series: Lecture notes in mathematics (Springer-Verlag); 1080. QA3.L28 no. 1080510 s [519.21 84-16148 [QA273.431 ISBN 0-387-13388-7 (U.S.) This work IS subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprintrng, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich.
© by Springer-Verlag Berlin Heidelberg 1984 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210
each passing biennium, the subject of probability in vector spaces makes more and more impressive gains" Anatole Beck PREFACE The third conference on Probability Theory on Vector Spaces took place in Lublin (Poland) during August of 1983. This conference was sponsored by the Maria Sk£odowska-Curie University at Lublin and was organized by the following committee: Z. Rychlik, D. Szynal (chairman) and A. Weron. This volume contains 26 contributions and complements the material in the two earlier volumes, Springer's Lecture Notes in Math. vol. 656(1978) and vo I , 828 (1980). We completely agree with Professor Beck's statement taken from the introduction'to the proceedings of the conference on Probability in Banach spaces III, Springer's Lecture Notes in Math. vol. 860(1981). His first conference organized in Oberwolfach in 1975 motivated us to organize our own meetings, however we have never intended to compete with Professor Beck's conferences but rather to extend the influence of this new theory. Since there are vector spaces, being natural spaces of sample paths of stochastic processes, which are no longer Banach it is desirable to develop probability theory on general vector spaces. Two most popular topics of our 1980 conference: stable measures and multidimensional stochastic processes are also presen
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