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  • © 1994

Mathematics Past and Present Fourier Integral Operators

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  • ISBN: 978-3-662-03030-1
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Softcover Book USD 119.99
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Table of contents (5 chapters)

  1. Front Matter

    Pages i-vii
  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

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.

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

  • Institut für Mathematik, Universität Augsburg, Augsburg, Germany

    Jochen Brüning

  • Massachusetts Institute of Technology, Cambridge, USA

    Victor W. Guillemin

Bibliographic Information

Buying options

eBook USD 89.00
Price excludes VAT (USA)
  • ISBN: 978-3-662-03030-1
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 119.99
Price excludes VAT (USA)
Hardcover Book USD 119.99
Price excludes VAT (USA)