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

EAN (ISBN-13): 9783642083075
ISBN (ISBN-10): 3642083072
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer Berlin Heidelberg
752 Seiten
Gewicht: 1,119 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2012-05-21T21:06:32+02:00 (Berlin)
Detailseite zuletzt geändert am 2023-08-06T23:03:41+02:00 (Berlin)
ISBN/EAN: 9783642083075

ISBN - alternative Schreibweisen:
3-642-08307-2, 978-3-642-08307-5
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: levitan
Titel des Buches: precis, spectral analysis

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Daten vom Verlag:

Autor/in: Victor Ivrii
Titel: Springer Monographs in Mathematics; Microlocal Analysis and Precise Spectral Asymptotics
Verlag: Springer; Springer Berlin
733 Seiten
Erscheinungsjahr: 2010-12-04
Berlin; Heidelberg; DE
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
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 Most of the results and their proofs are as yet unpublished.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.