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An introduction to Sato's hyperfunctions / Mitsuo Morimoto

Auteur principal : Morimoto, Mitsuo, 1942-, AuteurType de document : MonographieCollection : Translations of mathematical monographs, 129Langue : anglais.Pays : Etats Unis.Éditeur : Providence : American Mathematical Society, 1993Description : 1 vol. (XII-273 p.) : ill. ; 27 cmISBN : 9780821887677; 0821845713.ISSN : 0065-9282.Bibliographie : Bibliogr. p.265-267 . Index.Sujet MSC : 46F15, Distributions, generalized functions, distribution spaces, Hyperfunctions, analytic functionals
46F20, Distributions, generalized functions, distribution spaces, Distributions and ultradistributions as boundary values of analytic functions
46M20, Methods of category theory in functional analysis, Methods of algebraic topology in functional analysis
46-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
32A45, Holomorphic functions of several complex variables, Hyperfunctions
En-ligne : Zentralblatt | MathSciNet | AMS
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Salle R
46 MOR (Browse shelf) Available 11143-01

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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