Non-Commutative Harmonic Analysis and Lie Groups Proceedings of the
All the papers in this volume are research papers presenting new results. Most of the results concern semi-simple Lie groups and non-Riemannian symmetric spaces: unitarisation, discrete series characters, multiplicities, orbital integrals. Some, however,
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1243 Non-Commutative Harmonic Analysis and Lie Groups Proceedings of the International Conference held in Marseille-Luminy, June 24-29, 1985
Edited by J. Carmona, P. Delorme and M. Vergne
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann
1243 Non-Commutative Harmonic Analysis and Lie Groups Proceedings of the International Conference held in Marseille-Luminy, June 24-29, 1985
Edited by J. Carmona, P. Delorme and M. Vergne
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Editors
Jacques Carmona Patrick Delorme Universite d'Aix Marseille II, Departement de Mathematiques de Luminy 70, Route Leon Lachamp, 13288 Marseille Cedex 2, France Michele Vergne CNRS Universite de Paris VII, UER Mathematiques 2, Place Jussieu, 75221 Paris Cedex 05, France and
M.I.T. Cambridge, MA. 02139, USA
Mathematics Subject Classification (1980): 20G05, 22E50, 22E30 ISBN 3-540-17701-9 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-17701-9 Springer-Verlag New York Berlin Heidelberg
Library of Congress Cataloging-in-Publication Data. Non commutative harmonic analysis and Lie groups. (Lecture notes in mathematics; 1243) "Le sixierns Colloque 'Analyse harmonique et groupes de Lie' s'est tenu aMarseille-Luminy du 24 au 29 juin 1985 dans Ie cadre du Centre international de rencontres rnatbernatiques (C.I.R.M.)"-Pref. Text in English and French. Bibliography: p. 1. Harmonic analysis-Congresses. 2. Lie groups-Congresses. I. Carmona, Jacques, 1934-. II. Delorme, Patrick. III. Vergne, Michele. IV. Colloque "Analyse harmonique et groupes de Lie" (6th: 1985: Luminy, Marseille, France) V. Series: Lecture notes in mathematics (SpringerVerlag), 1243. QA3.L28 no. 1243510 s 87-9444 [QA403] [512'.55] ISBN 0-387-17701-9 (U.S.) 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
PRE F ACE
Le sixieme Colloque "Analyse Harmonique et Groupes de Lie" s'est tenu
a Marseille-Luminy du
24 au 29 Juin 1985 dans le cadre du Centre Inter-
national de Rencontres Mathematiques (C.I.R.M.) Le present volume contient le texte des conferences presentees,
a
1 'exception de celles dont le contenu a deja fait ou fera 1 'objet d'une publi-
cation par ail leurs. Outre les participants a cette rencontre, nous tenons a remercier la Faculte de Luminy et le C.I.R.M. qui ont rendu possible la tenue de ce Colloque et le secretariat
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