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Classical Microlocal Analysis in the Space of Hyperfunctions

Classical Microlocal Analysis in the Space of Hyperfunctions

Paperback

Series: Lecture Notes in Mathematics, Book 1737

Medical ReferenceCalculusGeneral Mathematics

ISBN10: 3540676031
ISBN13: 9783540676034
Publisher: Springer Nature
Published: Jun 23 2000
Pages: 370
Weight: 1.17
Height: 0.78 Width: 6.14 Depth: 9.21
Language: English
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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