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Microlocal analysis for differential operators: An introduction

✍ Scribed by Alain Grigis, Johannes Sjöstrand

Publisher
Cambridge University Press
Year
1994
Tongue
English
Leaves
155
Series
London Mathematical Society Lecture Note Series
Category
Library
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✦ Synopsis

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 emphasize the basic tools, especially the method of stationary phase, and they discuss wavefront sets, elliptic operators, local symplectic geometry, and WKB-constructions.

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