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Hyperfunctions and Pseudo-Differential Equations

Proceedings of a Conference at Katata, 1971

  • Editors
  • Hikosaburo Komatsu
Conference proceedings

Part of the Lecture Notes in Mathematics book series (LNM, volume 287)

Table of contents

  1. Front Matter
    Pages I-VII
    PDF

  2. Hyperfunctions and Pseudo-Differential Equations

    1. Front Matter
      Pages 2-3
      PDF
    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
      PDF
    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
    PDF

About these proceedings

Keywords

differential equation equation function partial differential equation theorem

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0068143
  • Copyright Information Springer-Verlag Berlin Heidelberg 1973
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-06218-9
  • Online ISBN 978-3-540-38506-6
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site