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Hyperfunctions and Pseudo-Differential Equations

Proceedings of a Conference at Katata, 1971

  • Conference proceedings
  • © 1973

Overview

Editors:
  1. Hikosaburo Komatsu
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 287)

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Table of contents (13 papers)

  1. Front Matter

    Pages I-VII
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  2. Hyperfunctions and Pseudo-Differential Equations

    1. Front Matter

      Pages 2-3
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    2. An introduction to the theory of hyperfunctions

      • Hikosaburo Komatsu
      Pages 3-40

    3. Edge of the wedge theorem and hyperfunction

      • Mitsuo Morimoto
      Pages 41-81

    4. Solutions Hyperfonctions Du Probleme De Cauchy

      • Jean-Michel Bony, Pierre Schapira
      Pages 82-98

    5. On the global existence of real analytic solutions of linear differential equations

      • Takahiro Kawai
      Pages 99-121

    6. Fundamental principle and extension of solutions of linear differential equations with constant coefficients

      • Akira Kaneko
      Pages 122-134

    7. On abstract cauchy problems in the sense of hyperfunction

      • Sunao Ōuchi
      Pages 135-152

    8. On a markovian property of stationary gaussian processes with a multi-dimensional parameter

      • Shinichi Kotani, Yasunori Okabe
      Pages 153-163

    9. Ultradistributions and hyperfunctions

      • Hikosaburo Komatsu
      Pages 164-179

    10. Hyperfunctions and linear partial differential equations

      • Hikosaburo Komatsu
      Pages 180-191

    11. Relative cohomology of sheaves of solutions of differential equations

      • Hikosaburo Komatsu
      Pages 192-261

  3. Hyperfunctions and Pseudo-Differential Equations

    1. Front Matter

      Pages 263-264
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    2. Theory of microfunctions

      • Hikosaburo Komatsu
      Pages 265-314

    3. Foundation of the theory of pseudo-differential equations

      • Hikosaburo Komatsu
      Pages 315-456

    4. Structure of systems of pseudo-differential equations

      • Hikosaburo Komatsu
      Pages 457-523

  4. Back Matter

    Pages 524-529
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Bibliographic Information

  • Book Title: Hyperfunctions and Pseudo-Differential Equations

  • Book Subtitle: Proceedings of a Conference at Katata, 1971

  • Editors: Hikosaburo Komatsu

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0068143

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1973

  • Softcover ISBN: 978-3-540-06218-9Published: 16 April 1973

  • eBook ISBN: 978-3-540-38506-6Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 534

  • Topics: Analysis

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