Classical microlocal analysis in the space of hyperfunctions /

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Bibliographic Details
Author / Creator:Wakabayashi, Seiichiro, 1948-
Imprint:Berlin ; New York : Springer, ©2000.
Description:1 online resource (viii, 367 pages).
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1737
Lecture notes in mathematics (Springer-Verlag) ; 1737.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11065883
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ISBN:9783540451617
3540451617
3540676031
9783540676034
Notes:Includes bibliographical references (pages 361-364) and index.
Summary: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.
Other form:Print version: Wakabayashi, Seiichiro, 1948- Classical microlocal analysis in the space of hyperfunctions. Berlin ; New York : Springer, ©2000 3540676031