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New Trends in Microlocal Analysis

  • Book
  • © 1997

Overview

Editors:
  1. Jean-Michel Bony

    1. Centre de Mathematiques, Ecole Polytechnique, Palaiseau Cedex, France

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  2. Mitsuo Morimoto

    1. Sophia University, Chiyoda-ku, Tokyo 102, Japan

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Table of contents (19 chapters)

  1. Front Matter

    Pages II-VIII
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  2. Partial Differential Equations and Mathematical Analysis

    1. Front Matter

      Pages 1-1
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    2. Fourier integral operators and Weyl-Hörmander calculus

      • Jean-Michel Bony
      Pages 3-21

    3. The Wick calculus of pseudo-differential operators and energy estimates

      • Nicolas Lerner
      Pages 23-37

    4. Eigen functions of the Laplacian of exponential type

      • Mitsuo Morimoto, Keiko Fujita
      Pages 39-58

    5. Wavelet transforms and operators in various function spaces

      • Shinya Moritoh
      Pages 59-68

    6. Characteristic Cauchy problems in the complex domain

      • Yasunori Okada, Hideshi Yamane
      Pages 69-80

    7. Stokes operators for microhyperbolic equations

      • Keisuke Uchikoshi
      Pages 81-99

  4. Algebraic Analysis D-modules and Sheave Theory

    1. Front Matter

      Pages 157-157
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    2. An application of symbol calculus

      • Emmanuel Andronikof
      Pages 159-164

    3. Elliptic boundary value problems in the space of distributions

      • Emmanuel Andronikof, Nobuyuki Tose
      Pages 165-169

    4. On the Holonomic Character of the Elementary Solution of a Partial Differential Operator

      • Louis Boutet de Monvel
      Pages 171-177

    5. Kernel calculus and extension of contact transformations to D-modules

      • Andrea D’Agnolo, Pierre Schapira
      Pages 179-190

    6. Microfunction solutions of holonomic systems with irregular singularities

      • Naofumi Honda
      Pages 191-204
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Keywords

Editors and Affiliations

  • Centre de Mathematiques, Ecole Polytechnique, Palaiseau Cedex, France

    Jean-Michel Bony

  • Sophia University, Chiyoda-ku, Tokyo 102, Japan

    Mitsuo Morimoto

Bibliographic Information

  • Book Title: New Trends in Microlocal Analysis

  • Editors: Jean-Michel Bony, Mitsuo Morimoto

  • DOI: https://doi.org/10.1007/978-4-431-68413-8

  • Publisher: Springer Tokyo

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Tokyo 1997

  • Softcover ISBN: 978-4-431-68415-2Published: 12 February 2012

  • eBook ISBN: 978-4-431-68413-8Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: VIII, 242

  • Topics: Topological Groups, Lie Groups, Analysis

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