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  1. Home
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  3. Microlocal Analysis for Differential Operators
  • Cited by 170
Publisher:
Cambridge University Press
Online publication date:
October 2013
Print publication year:
1994
Online ISBN:
9780511721441
DOI:
https://doi.org/10.1017/CBO9780511721441
Subjects:
Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Abstract Analysis
Series:
London Mathematical Society Lecture Note Series (196)
Information

Book description

This short introduction to microlocal analysis is presented, in the spirit of Hörmander, in the classical framework of partial differential equations. This theory has important applications in areas such as harmonic and complex analysis, and also in theoretical physics. Here Grigis and Sjöstrand emphasise the basic tools, especially the method of stationary phase, and they discuss wavefront sets, elliptic operators, local symplectic geometry, and WKB-constructions. The contents of the book correspond to a graduate course given many times by the authors. It should prove to be useful to mathematicians and theoretical physicists, either to enrich their general knowledge of this area, or as preparation for the current research literature.

Reviews

"...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 integral operators....The exposition yields in an elegant form almost all basic tools related to microlocal analysis and it will be very helpful for any graduate student dealing with partial differential equations and mathematical physics." Vesselin M. Petkov, Mathematical Reviews

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