Pseudodifferential Operators and Spectral Theory
By: by Mikhail A. Shubin
Edition: Second edition.
Publisher: Springer Berlin Heidelberg; Imprint; Springer
Published: 2001
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 288
ISBN-13: 9783642565793
Description: This is the second edition of Shubin's classical book. It provides an introduction to the theory of pseudodifferential operators and Fourier integral operators from the very basics. The applications discussed include complex powers of elliptic operators, Hörmander asymptotics of the spectral function and eigenvalues, and methods of approximate spectral projection. Exercises and problems are included to help the reader master the essential techniques. The book is written for a wide audience of mathematicians, be they interested students or researchers.
Table of contents: title: Foundations of PDO Theory; title: Complex Powers of Elliptic Operators; title: Asymptotic Behaviour of the Spectral Function; title: Pseudodifferential Operators in Rn; title: Appendix 1. Wave Fronts and Propagation of Singularities; title: Appendix 2. Quasiclasical Asymptotic Behaviour of Eigenvalues.; title: Appendix 3. Hilbert-Schmidt and Trace Class Operators.