Microlocal Analysis and Precise Spectral Asymptotics

Name: Microlocal Analysis and Precise Spectral Asymptotics
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642083075
Price: 551.23 RON
Availability: InStock

Autor: Victor Ivrii

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Editura: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

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Devoted to the methods of microlocal analysis applied to spectral asymptotics with accurate remainde...

Informații despre carte

Autor

Victor Ivrii

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

733

EAN

9783642083075

ISBN

3642083072

Enbook ID

01653330

Editura

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Greutate

1134

Dimensiuni

155 x 235 x 41

Descriere completă

Devoted to the methods of microlocal analysis applied to spectral asymptotics with accurate remainder estimates, this long awaited 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 Most of the results and their proofs are as yet unpublished. Part 1 considers semiclassical microlocal analysis and propagation of singularities inside the domain and near the boundary. Part 2 is on local and microlocal semiclassical spectral asymptotics for general operators and Schrödinger and Dirac operators. After a synthesis in Part 3, the real fun begins in Part 4: the main theorems are applied and numerous results, both known and new, are recovered with little effort. Then, in Chapter 12, non-Weyl asymptotics are obtained for operators in domains with thick cusps, degenerate operators, for spectral Riesz means for operators with singularities. Most of the results and almost all the proofs were never published.This long awaited book is devoted to the methods of microlocal semiclassical analysis in application to spectral asymptotics with accurate remainder estimates. The very powerful machinery of local and microlocal semiclassical spectral asymptotics is developed as well as methods in combining these asymptotics with spectral estimates. The rescaling technique should be mentioned as an easy as to use and very powerful tool. Many theorems, considered before as independent and difficult, now are just special cases of easy corollaries of the theorems proved in the book. Most of the results and almost all the proofs are as yet unpublished

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