An introduction to Sato's hyperfunctions / Mitsuo Morimoto

Auteur: Morimoto, Mitsuo (1942-) - AuteurType de document: MonographieCollection: Translations of mathematical monographs ; 129Langue: anglaisPays: Etats UnisÉditeur: Providence : American Mathematical Society, 1993Description: 1 vol. (XII-273 p.) : ill. ; 27 cm ISBN: 9780821887677 ; rel. Note: 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. (source : AMS)Bibliographie: Bibliogr. p.265-267 . Index. Sujets MSC: 46F15 Functional analysis -- Distributions, generalized functions, distribution spaces -- Hyperfunctions, analytic functionals
46F20 Functional analysis -- Distributions, generalized functions, distribution spaces -- Distributions and ultradistributions as boundary values of analytic functions
46M20 Functional analysis -- Methods of category theory in functional analysis -- Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.)
46-01 Functional analysis -- Instructional exposition (textbooks, tutorial papers, etc.)
32A45 Several complex variables and analytic spaces -- Holomorphic functions of several complex variables -- Hyperfunctions
En-ligne: Zentralblatt | MathSciNet | AMS
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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. (source : AMS)

Bibliogr. p.265-267 . Index

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