Lecture Notes in Mathematics

Classical Microlocal Analysis in the Space of Hyperfunctions

Authors: Wakabayashi, Seiichiro

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About this book

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.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-540-45161-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $74.99
price for USA in USD
  • ISBN 978-3-540-67603-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Classical Microlocal Analysis in the Space of Hyperfunctions
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1737
Copyright
2000
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-45161-7
DOI
10.1007/BFb0103767
Softcover ISBN
978-3-540-67603-4
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 370
Topics