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Classical Microlocal Analysis in the Space of Hyperfunctions

Classical Microlocal Analysis in the Space of Hyperfunctions - Lecture Notes in Mathematics

2000

Paperback (23 Jun 2000)

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Publisher's Synopsis

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.

Book information

ISBN: 9783540676034
Publisher: Springer Berlin Heidelberg
Imprint: Springer
Pub date:
Edition: 2000
DEWEY: 515.35
DEWEY edition: 21
Language: English
Number of pages: 367
Weight: 532g
Height: 235mm
Width: 155mm
Spine width: 19mm