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Microlocal analysis for differential operators : an introduction

Author: Alain Grigis; J Sjöstrand
Publisher: Cambridge ; New York, NY : Cambridge University Press, ©1994.
Series: London Mathematical Society lecture note series, 196.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

This book corresponds to a graduate course given many times by the authors, and should prove to be useful to mathematicians and theoretical physicists.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Alain Grigis; J Sjöstrand
ISBN: 0521449863 9780521449861
OCLC Number: 30012038
Description: 151 pages : illustrations ; 23 cm.
Contents: 1. Symbols and oscillatory integrals --
2. The method of stationary phase --
3. Pseudodifferential operators --
4. Application to elliptic operators and L[superscript 2] continuity --
5. Local symplectic geometry I (Hamilton-Jacobi theory) --
6. The strictly hyperbolic Cauchy problem construction of a parametrix --
7. The wavefront set (singular spectrum) of a distribution --
8. Propagation of singularities for operators of real principle type --
9. Local symplectic geometry II --
10. Canonical transformations of pseudodifferential operators --
11. Global theory of Fourier integral operators --
12. Spectral theory for elliptic operators.
Series Title: London Mathematical Society lecture note series, 196.
Responsibility: Alain Grigis, Johannes Sjöstrand.
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"...an excellent introduction to microlocal analysis for graduate students and for mathematicians who wish to understand the basic ideas of calculus with classical pseudodifferential and Fourier Read more...

 
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