Microlocal analysis and precise spectral asymptotics
By: Victor Ivrii.
Series: Springer monographs in mathematics
Publisher: Springer-Verlag
Published: 1998
Place of publication: Berlin; New York
Language: eng
Number of pages: 731
Subjects: Microlocal analysis.; Spectral theory (Mathematics); Eigenvalues.; Asymptotic expansions.
Description: Devoted to the methods of microlocal analysis applied to spectral asymptotics with accurate remainder estimates, this book develops the very powerful machinery of local and microlocal semiclassical spectral asymptotics, as well as methods of combining these asymptotics with spectral estimates. The rescaling technique, an easy to use and very powerful tool, is presented.

Many theorems, considered till now as independent and difficult, are now just special cases of easy corollaries of the theorems proved in this book. Most of the results and their proofs are as yet unpublished.
Notes: Includes bibliographical references and index.