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Classical Microlocal Analysis in the Space of Hyperfunctions

Classical Microlocal Analysis in the Space of Hyperfunctions
Catalogue Information
Field name Details
Dewey Class 515
Title Classical Microlocal Analysis in the Space of Hyperfunctions ([EBook] /) / edited by Seiichiro Wakabayashi.
Added Personal Name Wakabayashi, Seiichiro editor.
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2000.
Physical Details X, 370 p. : online resource.
Series Lecture Notes in Mathematics 0075-8434 ; ; 1737
ISBN 9783540451617
Summary Note The book develops "Classical Microlocal Analysis" in the spaces of hyperfunctions and microfunctions, which makes it possible to apply the methods in the distribution category to the studies on partial differential equations in the hyperfunction category. Here "Classical Microlocal Analysis" means that it does not use "Algebraic Analysis." The main tool in the text is, in some sense, integration by parts. The studies on microlocal uniqueness, analytic hypoellipticity and local solvability are reduced to the problems to derive energy estimates (or a priori estimates). The author assumes basic understanding of theory of pseudodifferential operators in the distribution category.:
Contents note Hyperfunctions -- Basic calculus of fourier integral operators and pseudodifferential operators -- Analytic wave front sets and microfunctions -- Microlocal uniqueness -- Local solvability.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/BFb0103767
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