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- catalog abstract "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.".
- catalog contributor b11741380.
- catalog created "2000.".
- catalog date "2000".
- catalog date "2000.".
- catalog dateCopyrighted "2000.".
- catalog description "Hyperfunctions -- Basic calculus of Fourier integral operators and pseudodifferential operators -- Analytic wave front sets and microfunctions -- Microlocal uniqueness -- Local solvability -- Proofs of product formulae -- A priori estimates.".
- catalog description "Includes bibliographical references (pages 361-364) and index.".
- catalog description "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.".
- catalog extent "viii, 367 p. ;".
- catalog identifier "3540676031 (softcover : alk. paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1737.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1737".
- catalog issued "2000".
- catalog issued "2000.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "510 s 515.9 21".
- catalog subject "Differential equations, partial.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Hyperfunctions.".
- catalog subject "Mathematics.".
- catalog subject "Microlocal analysis.".
- catalog subject "QA3.L28 no. 1737 QA324".
- catalog tableOfContents "Hyperfunctions -- Basic calculus of Fourier integral operators and pseudodifferential operators -- Analytic wave front sets and microfunctions -- Microlocal uniqueness -- Local solvability -- Proofs of product formulae -- A priori estimates.".
- catalog title "Classical microlocal analysis in the space of hyperfunctions / Seiichiro Wakabayashi.".
- catalog type "text".