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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 probl...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Dordrecht :
Springer Netherlands : Imprint: Springer,
2012.
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| Edición: | 1st ed. 2012. |
| Colección: | Graduate Texts in Mathematics,
265 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- I Basics onClosed Operators
- 1 Closed Operators and Adjoint Operators
- 2 Spectrum of Closed Operators
- 3 Some Classes of Unbounded Operators
- II Spectral Theory
- 4 Spectral Measures and Spectral Integrals
- 5 Spectral Decomposition of Selfadjoint and Normal Operators
- III Special Topics
- 6 One-Parameter Groups and Semigroups of Operators
- 7 Miscellaneous
- IV Petirbations of Selfadjointness and of Spectra of Selfadjoint Operators
- 8 Perturbations of Selfadjoint Operators
- 9 Trace Class Perturbations of Spectra of Selfadjoint Operators
- V Forms and Operators
- 10 Semibounded Forms and Selfadjoint Operators
- 11 Sectorial Forms and m-Sectorial Operators
- 12 Discrete Spectrum of Selfadjoint Operators
- VI Selfadjoint Extention Theory of Symmetric Operators
- 13 Selfajoint Extensions: Cayley Transform and Krein Transform
- 14 Selfadjoint Extensions: Boundary Triplets
- 15 Sturm-Liouville Operators
- One-Dimensional Moment Problem.