Title: Microlocal analysis and precise spectral asymptotics
First published: 1998
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 Most of the results and their proofs are as yet unpublished.
Subjects: Eigenvalues, Microlocal analysis, Spectral theory (Mathematics), Asymptotic expansions
LC classification: QA299.6 .I87 1998