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Science/Engineering Classical Microlocal Analysis in the Space of Hyperfunctions (Lecture Notes in Mathematics)

Posted on 2010-03-15




Name:Science/Engineering Classical Microlocal Analysis in the Space of Hyperfunctions (Lecture Notes in Mathematics)
ASIN/ISBN:3540676031
Language:English
File size:12.4 Mb
ISBN: 3540676031
Publish Date: 1 edition (August 1, 2006)
File Type: PDF
File Size:   12.4 Mb
Pages: 366 pages
Other Info: Springer
   Science/Engineering Classical Microlocal Analysis in the Space of Hyperfunctions (Lecture Notes in Mathematics)



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Seiichiro Wakabayashi, ?Classical Microlocal Analysis in the Space of Hyperfunctions (Lecture Notes in Mathematics)?

BOOK 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.

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