Non-Commutative Harmonic Analysis Proceedings, Marseille-Luminy, Fra
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728 Non-Commutative Harmonic Analysis Proceedings, Marseille-Luminy, France, June 26 to 30, 1978 Actes du Colloque d'Analyse Harmonique Non Commutative
Edited by Jacques Carmona and Michele Vergne
Springer-Verlag Berlin Heidelberg New York 1979
Editors
Jacques Carmona Universite d'Aix-Marseilie II U.E.R. Scientifique de Luminy 70. Route Leon Lachamp F-13288 Marseille Cedex 2 Michele Vergne Universite Paris VII U.E.R. de Mathematiques 2, Place Jussieu F-75221 Paris Cedex 05
AMS Subject Classifications (1970): 16A66, 17 BlO, 17 B35, 20G20, 22E30, 22E45, 32M15, 35ElO, 43A80, 43A90 ISBN 3-540-09516-0 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-09516-0 Springer-Verlag New York Heidelberg Berlin Library of Congress Cataloging in Publication Data Colloque d'analyse harmonique non commutative, 3d, Marseille, 1978, Commutative harmonic analysIs, (Lecture notes in mathematics; 728) English or French. Bibliography: p. Includes index. 1. Harmonic analysis··Congresses. 2. Lie algebras-Congresses. 3. Lie groups--Congresses. I. Carmona, Jacques, 1934- II. Vergne, Michele. III. Title. IV. Series: Lecture notes in mathematics (Berlin); 728. OA3.L28 no. 728 [0A403] 510'.8s [515'.2433] ISBN 0-387-09516-0 79-17579
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by Springer-Verlag Berlin Heidelberg 1979
2141/3140-543210
PREFACE
La troisieme rencontre diAna lyse Harmonique Non Commutative sur les Groupes de Lie a eu lieu a Marsei IIe-Luminy, du 26 au 30 Juin 1978, dans Ie cadre des activites du Centre International de Rencontres Mathematiques.
Ce volume contient Ie texte des Conferences presentees durant Ie Colloque a Jlexception de celles qui concernaient des travaux deja publies ou dont la publication etait prevue par ai IIeurs. Outre les participants il cette rencontre, nous tenons a remerciel
JlU. E. R. Scientifique de Marsei IIe-Luminy et Ie Centre International de Rencontres Mathematiques qui ont rendu possible la tenue de ce Colloque.
Jacques CARMONA Michele VERGNE
TABLE
Dan BARBASCH
DES
MATIERES
Fourier Transforms of some invariant Distributions on a Semisimple LieGroup
and Li e Algebra... • • • • • •• ••• •• • •• • •• •• • •
1
WeitaCH.ANG
Global Solvabi lity of Bi-invariantDifferentialOperators onSolvable Lie Groups
8
Laurent CLOZEL
"Base Change" geometrique : Relevement de la serie principale de
G L(n, C fIR)
• • • • • • • • • • • • • • • • • • • • • • • • • • • • •• 1?
Jacques DIXMIER
Sur la methode des orbi tes •••••••••••••••
42
Michel DUFLO
Polyn8mes de Vogan pour SUn,
64
Mogens FLENSTED-JENSEN
On a fundamental series of representations related to a
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