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Classical Microlocal Analysis in the Space of Hyperfunctions
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Details
Dewey Class
515
Titel
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)
Veröffentl
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2000.
Physical Details
X, 370 p. : online resource.
Reihe
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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Schlagwörter:
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Analysis
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Analysis (Mathematics)
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Mathematical analysis
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Mathematics
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Partial differential equations
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Authors:
Wakabayashi, Seiichiro
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SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
515
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