An Introduction to Sato's Hyperfunctions (Translations of Mathematical Monographs)

An Introduction to Sato's Hyperfunctions (Translations of Mathematical Monographs)


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This book is a translation, with corrections and an updated bibliography, of Morimoto's 1976 book on the theory of hyperfunctions originally written in Japanese. Since the time that Sato established the theory of hyperfunctions, there have been many important applications to such areas as pseudodifferential operators and S-matrices. Assuming as little background as possible on the part of the reader, Morimoto covers the basic notions of the theory, from hyperfunctions of one variable to Sato's fundamental theorem. This book provides an excellent introduction to this important field of research.


Fundamental properties of holomorphic functions Analytic functionals of one variable Hyperfunctions of one variable Cohomology groups with coefficients in a sheaf Cohomology groups with coefficients in ${\mathcal O}$ Analytic functionals of several variables Hyperfunctions of several variables Microfunctions Development of hyperfunction theory Appendix A. Linear topological spaces Appendix B. Rudiments of homological algebra Appendix C. Bibliographical notes.

Product Details

  • ISBN13: 9780821845714
  • Format: Hardback
  • ID: 9780821845714
  • ISBN10: 0821845713

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