Unbounded Self-adjoint Operators on Hilbert Space

Konrad Schmüdgen

ISBN 10: 9400747527 / ISBN 13: 9789400747524

Editore: Springer Netherlands, Springer Netherlands Jul 2012, 2012

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Neuware -The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrödinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem) . Among others, a number of advanced special topics are treated on a text book level accompanied by numerous illustrating examples and exercises. The main themes of the book are the following: Spectral integrals and spectral decompositions of self-adjoint and normal operators Perturbations of self-adjointness and of spectra of self-adjoint operators Forms and operators Self-adjoint extension theory :boundary triplets, Krein-Birman-Vishik theory of positive self-adjoint extensionSpringer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 452 pp. Englisch.

Codice articolo 9789400747524

Dati bibliografici

• Titolo: Unbounded Self-adjoint Operators on Hilbert Space
• Editore: Springer Netherlands, Springer Netherlands Jul 2012
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 9400747527
• ISBN 13: 9789400747524
• Rilegatura: Buch
• Condizione: Neu

Descrizione articolo

Riassunto

The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrödinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem) . Among others, a number of advanced special topics are treated on a text book level accompanied by numerous illustrating examples and exercises. The main themes of the book are the following:
- Spectral integrals and spectral decompositions of self-adjoint and normal operators
- Perturbations of self-adjointness and of spectra of self-adjoint operators
- Forms and operators
- Self-adjoint extension theory :boundary triplets, Krein-Birman-Vishik theory of positive self-adjoint extension

Informazioni sull?autore

Schmuedgen is professor at the Mathematics Department of the University of Leipzig. Prof. Pavel Exner wrote about him: "In the eighties he was regarded at the Leipzig University as a rising star and the most gifted in the mathematical physics group".