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Classical Microlocal Analysis in the Space of Hyperfunctions

Classical Microlocal Analysis in the Space of Hyperfunctions

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Product Details
Author:
Seiichiro Wakabayashi
Publisher:
Springer
Publication Date:
Jun 23, 2000
Number of pages:
370 pages
Binding:
Paperback or Softback
ISBN-10:
3540676031
ISBN-13:
9783540676034

Overview

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.


  • | Author: Seiichiro Wakabayashi
  • | Publisher: Springer
  • | Publication Date: Jun 23, 2000
  • | Number of Pages: 370 pages
  • | Binding: Paperback or Softback
  • | ISBN-10: 3540676031
  • | ISBN-13: 9783540676034

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