Probability Measures on Groups Proceedings of the Fifth Conference O
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706 Probability Measures on Groups Proceedings of the Fifth Conference Oberwolfach, Germany, January 29th - February 4, 1978
Edited by H. Heyer
Springer-Verlag Berlin Heidelberg New York 1979
Editor Herbert Heyer Mathematisches Institut Universit~t TLibingen Auf der Morgenstelle 10 D-7400 TQbingen
- 2, ~AI 1979 Library of Congress Cataloging in Publication Data
Main entry under title: Probability measures on groups. (Lecture notes in mathematics ; 706) Bibliography: p. Includes index. i. Probabilities--Congresses. 2. Groups, Theory of--Congresses. 3. Measure theory-Congresses. 4. Random walks (Mathematics)-Congresses. I. Heyer, Herbert. II. Title. III. Series: Lecture notes in mathematics (Berlin) ; 706. QAS.L28 no. 706 [QA273.AI] 510'.8s [519.2] 79-10236 AMS Subject Classifications (1970): primary: 43A05, 60K05, 60B15, 60J15 secondary: 60B05, 60J35, 6 0 G 5 0 ISBN 3-540-09124-6 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-09124-6 Springer-Verlag NewYork Heidelberg Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, 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 the publisher, the amount of the fee to be determined by agreement with the publisher © by Springer-Verlag Berlin Heidelberg 1979 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2141/3140-543210
INTRODUCTION P r o b a b i l i t y theory on groups has become a field of c o n s i d e r a b l e interest to analysts in recent years. Despite of the progress w h i c h still goes on, the degree of m a t u r i t y of certain parts of the theory has encouraged a number of p r o b a b i l i s t s extended expositions on the subject.
to write
These publications prove both
the breadth and the p r o f u n d i t y of the problems and their solutions. We only m e n t i o n the book
[I] by C. Berg and G. Forst on the
p o t e n t i a l theory of continuous compact Abelian groups,
c o n v o l u t i o n semigroups on locally
the Lecture Notes on r a n d o m walks on Lie
groups by Y. Guivarc'h, M. Keane and B. R o y n e t t e
[4], on continuous
c o n v o l u t i o n semigroups and g e n e r a t i n g d i s t r i b u t i o n s by W. Hazod and on c o n v o l u t i o n products of measures
groups and semigroups by A. M u k h e r j e a and N.A. Tserpes finally the editor's m o n o g r a p h
[5]
on a r b i t r a r y t o p o l o g i c a l [i0]~
[6] c o n t a i n i n g a detailed presenta-
tion of the basic topics of the theory for general locally compact groups.
Stimulated by the w r i t t e n w o r k the specialists keep
a r t i c u l a t i n g the legitimate desire of a permanent exchange of ideas. Meetings
and conferences help s u r v e y i n g the p u b l i s h e d results
and initiate new directions of the c o n t r i
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