Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi

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Series Editors H. Bass

J. Oesterle A. Weinstein

Andre Unterberger

Automorphic Pseudodiflerential Analysis and Higher Level Weyl Calculi

Springer Base! AG

Author: Ancln~ Unterberger Mathematiques (UMR 6056) Universite de Reims Moulin de la Housse B.P. 1039 51687 Reims Cedex 2 France

2000 Mathematics Subject Classification 11Fxx, 22E30, 22E45, 35S99, 47G30, 58J40, 81S1O

A CIP catalogue record for this book is available from the Library of Congress, Washington D.C., USA Bibliographic information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at .

ISBN 978-3-0348-9641-2 ISBN 978-3-0348-7978-1 (eBook) DOI 10.1007/978-3-0348-7978-1 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, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use whatsoever, permission from the copyright owner must be obtained. © 2003 Springer Basel AG Originally published by Birkhăuser Verlag, Basel- Boston - Berlin in 2003 Softcover reprint of the hardcover 1st edition 2003 Printed on acid-free paper produced of chlorine-free pulp. TCF

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ISBN 978-3-0348-9641-2

987654321

www.birkhasuer-science.com

Ferran Sunyer i Balaguer (1912-1967) was a selftaught Catalan mathematician who, in spite of a serious physical disability, was very active in research in classical mathematical analysis, an area in which he acquired international recognition. His heirs created the Fundaci6 Ferran Sunyer i Balaguer inside the Institut d'Estudis Catalans to honor the memory of Ferran Sunyer i Balaguer and to promote mathematical research. Each year, the Fundaci6 Ferran Sunyer i Balaguer and the Institut d'Estudis Catalans award an international research prize for a mathematical monograph of expository nature. The prize-winning monographs are published in this series. Details about the prize and the Fundaci6 Ferran Sunyer i Balaguer can be found at http://www.crm.es/info/ffsb.htm This book has been awarded the Ferran Sunyer i Balaguer 2002 prize.

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The members of the scientific commitee of the 2002 prize were:

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Hyman Bass University of Michigan

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Pilar Bayer Universitat de Barcelona Antonio Cordoba Universidad Autonoma de Madrid Paul Malliavin Universite de Paris VI Alan Weinstein University of California at Berkeley

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Ferran Sunyer i Balaguer Prize winners:

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1992

Alexander Lubotzky Discrete Groups, Expanding Graphs and Invariant Measures, PM 125

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1993

Klaus Schmidt Dynamical Systems of Algebraic Origin, PM 128

1994

The scientific committee decided not to award the prize

1995

As of this year, the prizes bear the year in which they are awarded, rather than the previous year in which they were announced

1996

V. Kumar Murty and M. Ram Murty Non-vanishing of L-Functions and