The Analysis of Linear Partial Differential Operators I Distribution
The main change in this edition is the inclusion of exercises with answers and hints. This is meant to emphasize that this volume has been written as a general course in modern analysis on a graduate student level and not only as the beginning of a specia
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The Analysis of Linear Partial Differential Operators I
Springer
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Lars Hormander
The Analysis of Linear Partial Differential Operators I Distribution Theory and Fourier Analysis
Reprint of the 2nd Edition 1990
Springer
Lars Hormander Department of Mathematics University of Lund Box 118
SE-22100 Lund, Sweden
e-mail: [email protected]
Originally published as Vol. 256 in the series: Grundlehren dermathematischen Wissenschaften in 1983 and 1990, and thereafter as a Springer Study Edition in 1990 Library of Congress Cataloging.in·Publication Data HOrmander, Lars. The analysis of linear partial differential operato", I L. HOrmander. p. cm. - (Classics in mathematics, ISSN 1431-0821) Originally published: 2nd ed. Berlin; Now Yark : Springer-Verlag, c1990- . Includes bibliographical ref"""""", and index... Contents: 1. Distribution theoIy and Fourier analysis ISBN-13: 978-3-540-00662-6
1. Differential equations. Partial 2. Partial differential operators. l Title. II. Series. QA377.H5782003 515',7242-dc21
2003050516
Mathematics Subject Classification (2000): 46F, 46E, 26A, 42A, 35A, 35J, 35L
ISSN 1431-0821 ISBN-13: 978-3-540-00662-6 DOl: 10.1007/978-3-642-61497-2
e-ISBN-13: 978-3-642-61497-2
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41/3142ck-543210
Preface to the Second Edition
The main change in this edition is the inclusion of exercises with answers and hints. This is meant to emphasize that this volume has been written as a general course in modern analysis on a graduate student level and not only as the beginning of a specialized course in partial differential equations. In particular, it could also serve as an introduction to harmonic analysis. Exercises are given primarily to the sections of general interest; there are none to the last two chapters. Most of the exercises are just routine problems meant to give some familiarity with standard use of the tools introduced in the text. Others are extensions of the theory presented there. As a rule rather complete though
