Harmonic Analysis Proceedings of the International Symposium held at
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1359 P Eymard J.-P Pier (Eds.)
Harmonic Analysis Proceedings of the International Symposium held at the Centre Universitaire de Luxembourg Sept. 7-11, 1987
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Editors
Pierre Eymard Departement de mathernatiques, Universite de Nancy I B. P. 239, F-54506 Vandoeuvre-Ies-Nancy Cedex, France Jean-Paul Pier Serninaire de mathernatique, Centre universitaire de Luxembourg 162 A, Avenue de la Faiencerie, L·1511 Luxembourg
Mathematics Subject Classification (1980): 43·02, 22-02, 22005, 220 10, 22030, 43A75 ISBN 3-540-50524-5 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-50524-5 Springer-Verlag New York Berlin Heidelberg
This work is subject to copyright. All rights are reserved, whether the whole or part of the material rs concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage tn 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 Berhn Heidelberg 1988 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140-543210
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EYMARV lean-Paul PIER
V
PATERSON
Alan
PESCATORE
Fran90ise
PEIFFER
Monique
PEIFFER-REUTER
Renee
PIER
Jean-Paul
PYTLIK
Tadeusz
RACHER
Gerhard
REITER
Hans
von RENTELN
Michael
RINDLER
Harald
ROMANELLI
Silvia
ROUSSEAU
GUy
SCHABO
Pierre
SCHLICHTING
GUnter
SCHROEDER
Prosper
SCHWARTZ
Jean- Marie
SPECTOR
Rene
STEGEMAN
Jan
THIBEAU
Michel
THILL
Marco
VALETTE
Alain
VAN DAELE
Alfons
YUAN
Chuan Kuan
LIS T 0 F
PAR TIC I ? ANT S
AKKOUCHI
Mohammed
ANKER
Jean-Philippe
ATZMON
Aharon
BEKKA
Mohammed
BERG
Christian
BERTEMES
Joseph
BLOOM
Walter
BOHNKE
Georges
BRAQUET
Pierre
BRAUCH
Jean
BREMER
Jean-Claude
CHARPENTIER
Marco
CLERC
Jean-Louis
DELAPORTE
Jacques
DERIGHETTI
Antoine
DZINOTYIWEYI
Heneri
ENOCK
Michel
EYMARD
Pierre
FARAUT
Jacques
GERL
Peter
GHIATIS
Anasthassios
GLESENER
Hubert
GLODEN
Raoul-Fran"ois
JOHNSON
Barry
KAHANE
Jean-Pierre
KANIUTH
Eberhard
KIEFFER
Lucien
KRIER
Rene
LEPTIN
Horst
LUDWIG
Jean
MACKEY
George
MELA
Jean-Fran"ois
MOLITOR-BRAUN
Carine
MORTINI
Raymond
TABLE OF CONTENTS
J.-P. PIER
Some views on the evolution of harmonic analysi s
G. MACKEY
Induced representations and the applications of harmonic analysis . . . . . . . . . . • . . . . . . . . . . . . .
16
1"1. AKKOUCHI
Une caracterisation du noyau de Poisson d'un arbre h omoqe n e . . . . . . . . . . . . . . . . . . • . . . . . . . . . . .
52
J.-Ph. ANKER
Le noyau de la chaleur sur les espaces syme t r i.que s U (p,q) /U (p) XU (q
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