Pseudodifferential Operators and Spectral Theory

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.Shubin, M. A. is the author of 'Pseudodifferential Operators and Spectral Theory', published 2001 under ISBN 9783540411956 and ISBN 354041195X.