Pseudodifferential operators and spectral theory
By: M.A. Shubin ; translated from the Russian by Stig I. Andersson.
Edition: 2nd ed.
Publisher: Springer
Published: 2001
Place of publication: Berlin; New York
Language: eng
Number of pages: 288
Subjects: Pseudodifferential operators; Spectral theory (Mathematics)
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.
Notes: Includes bibliographical references (p. [275]-283) and indexes.