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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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
2012.
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| Series: | Graduate Texts in Mathematics
265 |
| Subjects: | |
| Online Access: | Click here to view the full text content |
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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 |
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| Physical Description: | XX, 432 p. 2 illus. digital. |
| ISBN: | 9789400747531 |
| ISSN: | 0072-5285 |