Classics in Mathematics Lars Hörmander The Analysis of Linear Partial Differential Operators IV Lars Hörmander The Analysis of Linear Partial Differential Operators IV Fourier Integral Operators Reprint of the 1994 Edition 123 Lars Hörmander Department of Mathematics University of Lund Box 118 S-221 00 Lund, Sweden [email protected] Originally published as Vol. 275 in the series: Grundlehren der Mathematischen Wissenschaften ISBN 978-3-642-00117-8 e-ISBN 978-3-642-00136-9 DOI 10.1007/978-3-642-00136-9 Classics in Mathematics ISSN 1431-0821 Library of Congress Control Number: 2009921797 Mathematics Subject Classification (2000): 35-02; 35S05; 47G30; 58J50; 58J40; 58J32; 47F05; 58J47; 35P25 © Springer-Verlag Berlin Heidelberg 1985, 2009 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, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permissions for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: WMXDesign GmbH, Heidelberg, Germany 9 8 7 6 5 4 3 2 1 springer.com L. Hörmander, Classics in Mathematics 1 The Analysis of Linear Partial Differential Operators IV, DOI: 10.1007/978-3-642-00117-8_Intro,© Springer-Verlag Berlin Heidelberg 2009