The work of T. Kawai on hyperfunction theory and microlocal analysis

Part 2 — Operators of infinite order and convolution equations
  • Takashi Aoki


Takahiro Kawai has been interested in operators of infinite order and convolution equations from the beginning of his research career and he made significant contributions in these areas as well as in the theory of partial differential equations. He uses operators of infinite order most effectively in various fields and obtains a number of remarkable results.


Theta Function Convolution Operator Infinite Order Singularity Spectrum Convolution Equation 
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  1. [E]
    L. Ehrenpreis, Fourier Analysis of Several Complex Variables, Wiley-Interscience, 1970.Google Scholar
  2. [KS]
    M. Kashiwara and P. Schapira, Microhyperbolic systems, Acta Math., 142 (1979), 1–55.MATHCrossRefMathSciNetGoogle Scholar
  3. [S]
    M. Sato, Pseudo-differential equations and theta functions, Astérisque, 2 et 3 (1973), 286–291.Google Scholar

Copyright information

© Springer 2008

Authors and Affiliations

  • Takashi Aoki
    • 1
  1. 1.Department of MathematicsKinki UniversityJapan

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