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Mathematics Past and Present Fourier Integral Operators

  • Jochen Brüning
  • Victor W. Guillemin

Table of contents

  1. Front Matter
    Pages i-vii
  2. V. W. Guillemin
    Pages 1-21
  3. L. Hörmander
    Pages 23-127
  4. J. J. Duistermaat, L. Hörmander
    Pages 129-215
  5. L. Hörmander
    Pages 217-242
  6. J. J. Duistermaat, V. W. Guillemin
    Pages 243-283
  7. Back Matter
    Pages 285-287

About this book

Introduction

What is the true mark of inspiration? Ideally it may mean the originality, freshness and enthusiasm of a new breakthrough in mathematical thought. The reader will feel this inspiration in all four seminal papers by Duistermaat, Guillemin and Hörmander presented here for the first time ever in one volume. However, as time goes by, the price researchers have to pay is to sacrifice simplicity for the sake of a higher degree of abstraction. Thus the original idea will only be a foundation on which more and more abstract theories are being built. It is the unique feature of this book to combine the basic motivations and ideas of the early sources with knowledgeable and lucid expositions on the present state of Fourier Integral Operators, thus bridging the gap between the past and present. A handy and useful introduction that will serve novices in this field and working mathematicians equally well.

Keywords

Fourier Integral Operator Fourier Integral Operators Fourier integral Fundamentallösung der hyperbolischen Gleichung Spektral-Asymptotik Wellen-Asymptotik character field fundamental solution of hyperbolic equation integral operator precise spectral asymptotics solution time wave asymptotics

Editors and affiliations

  • Jochen Brüning
    • 1
  • Victor W. Guillemin
    • 2
  1. 1.Institut für MathematikUniversität AugsburgAugsburgGermany
  2. 2.Massachusetts Institute of TechnologyCambridgeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03030-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08159-0
  • Online ISBN 978-3-662-03030-1
  • Buy this book on publisher's site