Unbounded self-adjoint operators on hilbert space

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 proble...

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Bibliographic Details
Main Author: Schmudgen, Konrad (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 2012.
Series:Graduate Texts in Mathematics 265
Subjects:
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Summary: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: <br>- Spectral integrals and  spectral decompositions of self-adjoint and normal operators <br>- Perturbations of self-adjointness and of spectra of self-adjoint operators <br>- Forms and operators <br>- Self-adjoint extension theory :boundary triplets, Krein-Birman-Vishik theory of positive self-adjoint extension
Physical Description:XX, 432 p. 2 illus. digital.
ISBN:9789400747531
ISSN:0072-5285