Microlocal Analysis and Precise Spectral Asymptotics (Springer Monographs in Mathematics) - Livro de bolso

EAN (ISBN-13): 9783642083075
ISBN (ISBN-10): 3642083072
Livro de capa dura
Livro de bolso
Ano de publicação: 2010
Editor/Editora: Springer Berlin Heidelberg
752 Páginas
Peso: 1,119 kg
Língua: eng/Englisch

Livro na base de dados desde 2012-05-21T20:06:32+01:00 (Lisbon)
Página de detalhes modificada pela última vez em 2023-08-06T22:03:41+01:00 (Lisbon)
Número ISBN/EAN: 3642083072

Número ISBN - Ortografia alternativa:
3-642-08307-2, 978-3-642-08307-5
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: levitan
Título do livro: precis, spectral analysis

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Dados da editora

Autor: Victor Ivrii
Título: Springer Monographs in Mathematics; Microlocal Analysis and Precise Spectral Asymptotics
Editora: Springer; Springer Berlin
733 Páginas
Ano de publicação: 2010-12-04
Berlin; Heidelberg; DE
Impresso / Feito em
Língua: Inglês
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 Most of the results and their proofs are as yet unpublished.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.