Microlocal Analysis for Differential Operators - An Introduction

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

Dettagli sul prodotto

• Autori: Alain Grigis, Alain Sjostrand Grigis, Johannes Sjostrand
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 03.03.1994
• EAN: 9780521449861
• ISBN: 978-0-521-44986-1
• Pagine: 160
• Serie: London Mathematical Society Lecture Note Series; London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi