Microlocal Analysis and Precise Spectral Asymptotics (Springer Monographs in Mathematics) - Livres de poche

EAN (ISBN-13): 9783642083075
ISBN (ISBN-10): 3642083072
Version reliée
Livre de poche
Date de parution: 2010
Editeur: Springer Berlin Heidelberg
752 Pages
Poids: 1,119 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2012-05-21T21:06:32+02:00 (Paris)
Page de détail modifiée en dernier sur 2023-08-06T23:03:41+02:00 (Paris)
ISBN/EAN: 9783642083075

ISBN - Autres types d'écriture:
3-642-08307-2, 978-3-642-08307-5
Autres types d'écriture et termes associés:
Auteur du livre: levitan
Titre du livre: precis, spectral analysis

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Données de l'éditeur

Auteur: Victor Ivrii
Titre: Springer Monographs in Mathematics; Microlocal Analysis and Precise Spectral Asymptotics
Editeur: Springer; Springer Berlin
733 Pages
Date de parution: 2010-12-04
Berlin; Heidelberg; DE
Imprimé / Fabriqué en
Langue: Anglais
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 Most of the results and their proofs are as yet unpublished.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.