Microlocal Analysis and Precise Spectral Asymptotics (Springer Monographs in Mathematics) - Paperback

EAN (ISBN-13): 9783642083075
ISBN (ISBN-10): 3642083072
Hardcover
Paperback
Publishing year: 2010
Publisher: Springer Berlin Heidelberg
752 Pages
Weight: 1,119 kg
Language: eng/Englisch

Book in our database since 2012-05-21T20:06:32+01:00 (London)
Detail page last modified on 2023-08-06T22:03:41+01:00 (London)
ISBN/EAN: 3642083072

ISBN - alternate spelling:
3-642-08307-2, 978-3-642-08307-5
Alternate spelling and related search-keywords:
Book author: levitan
Book title: precis, spectral analysis

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Information from Publisher

Author: Victor Ivrii
Title: Springer Monographs in Mathematics; Microlocal Analysis and Precise Spectral Asymptotics
Publisher: Springer; Springer Berlin
733 Pages
Publishing year: 2010-12-04
Berlin; Heidelberg; DE
Printed / Made in
Language: English
109,99 € (DE)

BC; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; Dirac; Microlocal analysis; Semiclassical microlocal analysis; Spectral asymptotics; boundary element method; field; proof; schrödinger operator; theorem; tool; partial differential equations; Differential Equations; BB

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 Most of the results and their proofs are as yet unpublished.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.