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Spectral Theory

Basic Concepts and Applications
BuchGebunden
338 Seiten
Englisch
Springererschienen am13.03.20202020
These chapters introduce the Dirichlet Laplacian operator, Schrödinger operators, operators on graphs, and the spectral theory of Riemannian manifolds.Spectral Theory offers a uniquely accessible introduction to ideas that invite further study in any number of different directions.mehr
Verfügbare Formate
BuchGebunden
EUR32,09
BuchKartoniert, Paperback
EUR32,09
E-BookPDF1 - PDF WatermarkE-Book
EUR62,99

Produkt

KlappentextThese chapters introduce the Dirichlet Laplacian operator, Schrödinger operators, operators on graphs, and the spectral theory of Riemannian manifolds.Spectral Theory offers a uniquely accessible introduction to ideas that invite further study in any number of different directions.
Details
ISBN/GTIN978-3-030-38001-4
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2020
Erscheinungsdatum13.03.2020
Auflage2020
ReiheGraduate Texts in Mathematics
Seiten338 Seiten
SpracheEnglisch
Gewicht710 g
IllustrationenX, 338 p. 31 illus., 30 illus. in color.
Artikel-Nr.47791110

Inhalt/Kritik

Inhaltsverzeichnis
1. Introduction.- 2. Hilbert Spaces.- 3. Operators.- 4. Spectrum and Resolvent.- 5. The Spectral Theorem.- 6. The Laplacian with Boundary Conditions.- 7. Schrödinger Operators.- 8. Operators on Graphs.- 9. Spectral Theory on Manifolds.- A. Background Material.- References.- Index.mehr
Kritik
"The student will benefit from the many illustrative examples worked out in the book. ... The author succeeds, and the hope is that after working on some of the examples presented, the student will want to explore further applications. Additionally, the instructor may also find inspiration for individual study topics that don't require extensive prerequisites." (Valentin Keyantuo, Mathematical Reviews, February, 2023)

"This is an excellent textbook, which shall be a very useful tool for anyone who is oriented to the applications of functional analysis, especially to partial differential equations." (Panagiotis Koumantos, zbMATH 1444.47001, 2020)mehr

Schlagworte

Autor

David Borthwick is Professor and Director of Graduate Studies in the Department of Mathematics at Emory University, Georgia, USA. His research interests are in spectral theory, global and geometric analysis, and mathematical physics. His monograph Spectral Theory of Infinite-Area Hyperbolic Surfaces appears in Birkhäuser's Progress in Mathematics, and his Introduction to Partial Differential Equations is published in Universitext.