Pseudo-Differential Operators Proceedings of a Conference held in Ob
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1256 Pseudo-Differential Operators Proceedings of a Conference held in Oberwolfach, February 2-8, 1986
Edited by H.O. Cordes, B. Gramsch and H. Widom
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann
1256 Pseudo-Differential Operators Proceedings of a Conference held in Oberwolfach, February 2-8, 1986
Edited by H.O. Cordes, B. Gramsch and H. Widom
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Editors
Heinz O. Cordes Department of Mathematics, University of California Berkeley, CA 94720, USA Bernhard Gramsch Fachbereich 17 - Mathematik, Johannes Gutenberq-Universitat Postfach 3880, 6500 Mainz Federal Republic of Germany Harold Widom Department of Mathematics, University of California Santa Cruz, CA 95064, USA
Mathematics Subject Classification (1980): 22E65, 35L05, 47 A55, 47G05, 58G 15, 58G 16 ISBN 3-540-17856-2 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-17856-2 Springer-Verlag New York Berlin Heidelberg
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
PREFACE
Pseudodifferentlal operators, which originated as a powerful tool in the study of partial differential equations, have now become also a field of independent interest. This Oberwolfach conference presented the opportunity of bringing together many of the world's leading workers in pseudodifferential operators and their applications so that all could learn of and discuss the latest developments in the field. Thirtyfive lectures were given on a wide variety of topics, including the following: Nonlinear hyperbolic equations; Pseudodifferential operator calculus and asymptotic expansions; Operators on manifolds with singularities; Boundary value problems; Fourier integral operators, Toeplitz operators and index theory; Frechet algebras; LP boundedness. The papers in this volume are, with a few exceptions, expanded versions of lectures given during the conference. We take this opportunity to express our appreciation to all the participants in this exciting conference and to the Mathematisches Forschungsinstitut Oberwolfach who made available to us their outstanding facilities and generous hospitality. We also thank E. Schrohe and F. Ali Mehmeti and the secretary U. Schack for their help. Our thanks also go to Springer Verlag for accepting this volume for publication and for their kind cooperation. H.O.
