Non Commutative Harmonic Analysis and Lie Groups Proceedings of the
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1020 Non Commutative Harmonic Analysis and Lie Groups Proceedings of the International Conference Held in Marseille Luminy, 21-26 June, 1982
Edited by J. Carmona and M. Vergne
Springer-Verlag Berlin Heidelberg New York Tokyo 1983
Editors
Jaques Carmona Universite d' Aix Marseille II, Oepartement de Mathematiques de Luminy 70 Route L. Lachamp, 13288 Marseille Cedex 2, France Michele Vergne CNRS Universite de Paris VII, UER Mathematiques 2, Place Jussieu, 75221 Paris Cedex 05, France
AMS Subject Classifications (1980): 17B35, 17B45, 220lO, 22 E30, 22E46,43A25 ISBN 3-540-12717-8 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-12717-8 Springer-Verlag New York Heidelberg Berlin Tokyo Library of Congress Cataloging in Publication Data. Main entry under title: Non commutative harmonic analysis and Lie groups. (Lecture notes in mathematics; 1,020) English and French. Proceedings of the Fifth Colloque "Analyse harmonique non commutative et groupes de Lie," held at Marseille-Luminy, June 21-26, 1982. 1. Harmonic analysis-Congresses. 2. Lie groups-Congresses. I. Carmona, Jacques, 1934,. 11. Vergne, Michele. III. Colloque "Analyse harmonique non commutative et groupes de Lie" (5th: 1982: Marseille France) IV. Series: Lecture notes in mathematics (Springer-Verlag); 1,020. QA3.L28 no. 1,020 510s [512'.55]83-17111 [QA403] ISBN 0-387-12717-8 (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, 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
PREFACE
Le cinquieme Colloque "Analyse Hannonique Non Commutative et Groupes de Lie" s 'est tenu a Marseille - Luminy du 21 au 26 Juin 1982 dans le cadre du nouveau Centre International de Rencontres Mathematiques. Les participants noteront que la liste des articles publies ci-dessous ne correspond pas completement aux conferences presentees durant le Colloque. C'est 1e cas, en particu1ier, pour des travaux dont 1a publication detail lee etait prevue par ai1leurs, ou de resultats dQs
a plusieurs
coauteurs.
Outre les participants
a cette rencontre, nous tenons a remer-
cier l'U.E.R. de Marseille - Luminy et le Centre International de Rencontres Mathematiques qui ont rendu possible 1a tenue de ce Co1loque, ainsi que le secretariat du Laboratoire de Mathematiques qui a assure la preparation du present volume.
Jacques CARMONA Michele VERGNE
NON COMMUTATIVE HARMONIC ANALYSIS
AND LIE GROUPS
BALDONI SILVA M.W.
L2 index and unitary representations •••••.••••••••••
CARMONA Jaques
Sur la classification des modules admissibles lrreduct tbles
11
GUILLEMONAT Alain
Representations spheriques
HERB Rebe
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