Alain Grigis, Johannes Sjostrand

Microlocal Analysis for Differential Operators

An Introduction

• Broschiertes Buch

Produktbeschreibung

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

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 160
• Erscheinungstermin: 20. November 2000
• Englisch
• Abmessung: 229mm x 152mm x 9mm
• Gewicht: 242g
• ISBN-13: 9780521449861
• ISBN-10: 0521449863
• Artikelnr.: 22288948

Inhaltsangabe

Introduction
1. Symbols and oscillatory integrals
2. The method of stationary phase
3. Pseudodifferential operators
4. Application to elliptic operators and L2 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
Bibliography.