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Mathematics Past and Present Fourier Integral Operators

  • Book
  • © 1994

Overview

Editors:
  1. Jochen Brüning

    1. Institut für Mathematik, Universität Augsburg, Augsburg, Germany

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  2. Victor W. Guillemin

    1. Massachusetts Institute of Technology, Cambridge, USA

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-vii
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  2. 25 Years of Fourier Integral Operators

    • V. W. Guillemin
    Pages 1-21

  3. Fourier Integral Operators. I

    • L. Hörmander
    Pages 23-127

  4. Fourier Integral Operators. II

    • J. J. Duistermaat, L. Hörmander
    Pages 129-215

  5. The Spectral Function of an Elliptic Operator

    • L. Hörmander
    Pages 217-242

  6. The Spectrum of Positive Elliptic Operators and Periodic Bicharacteristics

    • J. J. Duistermaat, V. W. Guillemin
    Pages 243-283

  7. Back Matter

    Pages 285-287
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Keywords

About this book

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.

Editors and Affiliations

  • Institut für Mathematik, Universität Augsburg, Augsburg, Germany

    Jochen Brüning

  • Massachusetts Institute of Technology, Cambridge, USA

    Victor W. Guillemin

Bibliographic Information

  • Book Title: Mathematics Past and Present Fourier Integral Operators

  • Editors: Jochen Brüning, Victor W. Guillemin

  • DOI: https://doi.org/10.1007/978-3-662-03030-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1994

  • Hardcover ISBN: 978-3-540-56741-7Published: 20 December 1993

  • Softcover ISBN: 978-3-642-08159-0Published: 01 December 2010

  • eBook ISBN: 978-3-662-03030-1Published: 09 March 2013

  • Edition Number: 1

  • Number of Pages: VIII, 288

  • Topics: Analysis, Mathematical Methods in Physics, Numerical and Computational Physics, Simulation

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