Measure Theory and its Applications Proceedings of a Conference held
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Measure Theory
and its Applications Proceedings of a Conference held at Sherbrooke, Quebec, Canada, June 7-18, 1982
Edited by J. M. Belley, J. Dubois and P. Morales
Springer-Verlag Berlin Heidelberg New York Tokyo 1983
Editors
Jean-Marc Belley Jacques Dubois Pedro Morales Departernent de mathematiques et informatique Universite de Sherbrooke Sherbrooke, Quebec, Canada J1K 2R1
AMS Subject Classifications (1980): 28-06, 28CXX, 28DXX, 46A55, 46BXX, 46GXX, 60GXX ISBN 3-540-12703-8 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-12703-8 Springer-Verlag New York Heidelberg Berlin Tokyo 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 "Verwertungsgesellschaft Wort", Munich.
© by Springer-Verlag Berlin Heidelberg 1983 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210
The Workshop on Measure Theory and its Applications held at the Universite de Sherbrooke from June 7 to 18, 1982, was attended by 87 mathematicians from 12 countries.
There, new and significant results in Ergodic Theory, Choquet Repre-
sentation Theory, Vector Measures, Measure Theory and Topology were presented. The program consisted of three expository lectures of three hours each, nineteen invited lectures of one hour, and twenty six contributed twenty minute papers. The Workshop was sponsored by the Universite de Sherbrooke, NSERC of Canada, FCAC of Quebec, the Canadian Mathematical Society, and ACFAS.
The organizers
wish to express their gratitude to the sponsors, to Mrs. M. O'Bready and C. Vachon for their secretarial work, and to Mrs. T. Marchand for careful typing of the manuscript of the proceedings. The organizers offer special thanks to the VicePrincipal, Professor B. Benard and to the Dean, Professor A. Cabana for representing the University and the Faculty of Science at the opening ceremony.
J. M. Belley
J. Dubois
P. Morales
PREFACE L'Atelier sur la Theorie de la Mesure et ses Applications, tenu
a
l'Uni-
versite de Sherbrooke du 7 au 18 juin 1982, a regroupe 87 mathematiciens de 12 pays. On y a presente les resultats significatifs les plus recents en theorie ergodique, theorie de la representation de Choquet, mesures vectorielles, theorie de la mesure et topologie. Le programme consistait en trois conferences principales de trois heures chacune, dixneuf conferences d'une heure, et vingtsix communications de vingt minutes. L'Atelier a ete subventionne par l'Universite de Sherbrooke, Ie CRSNG du Canada, Ie FCAC du Quebec, la Societe Mathematique du Canada, et l'ACFAS.
Les or-
ganisateurs desirent remercier tous ces organismes ainsi que Mmes M. O'Bready et C. Vachon pour leur travail de secretariat et Mme T. Marchand pour av
