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The Analysis of Linear Partial Differential Operators I

Distribution Theory and Fourier Analysis

  • Lars Hörmander

Part of the Classics in Mathematics book series (CLASSICS)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Lars Hörmander
    Pages 1-4
  3. Lars Hörmander
    Pages 5-32
  4. Lars Hörmander
    Pages 87-125
  5. Lars Hörmander
    Pages 126-132
  6. Lars Hörmander
    Pages 133-157
  7. Lars Hörmander
    Pages 158-250
  8. Lars Hörmander
    Pages 251-324
  9. Lars Hörmander
    Pages 325-370
  10. Back Matter
    Pages 371-440

About this book

Introduction

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 differen­ tial equations. In particular, it could also serve as an introduction to harmonic analysis. Exercises are given primarily to the sections of gen­ eral 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 brief solutions are then given in the answers and hints. To a large extent the exercises have been taken over from courses or examinations given by Anders Melin or myself at the University of Lund. I am grateful to Anders Melin for letting me use the problems originating from him and for numerous valuable comments on this collection. As in the revised printing of Volume II, a number of minor flaws have also been corrected in this edition. Many of these have been called to my attention by the Russian translators of the first edition, and I wish to thank them for our excellent collaboration.

Keywords

analytic function differential calculus differential equation distribution fourier analysis Fourier transform harmonic analysis integral Laplace transform manifold partial differential equation Smooth function

Authors and affiliations

  • Lars Hörmander
    • 1
  1. 1.Department of MathematicsUniversity of LundLundSweden

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-61497-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-00662-6
  • Online ISBN 978-3-642-61497-2
  • Series Print ISSN 1431-0821
  • Buy this book on publisher's site
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