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...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2012. |
| سلاسل: | Graduate Texts in Mathematics
265 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Unbounded self-adjoint operators on Hilbert space, Konrad Schmüdgen, 2012, Dordrecht [etc.], Springer, 1 vol. (xx-432 p.), Graduate texts in mathematics, 978-94-0074752-4 • Unbounded Self-adjoint Operators on Hilbert Space, Texte imprimé, 9789400747548 • Unbounded self-adjoint operators on Hilbert space, Konrad Schmüdgen, 2012, Dordrecht [etc.], Springer, 1 vol. (xx-432 p.), Graduate texts in mathematics, 978-94-0074752-4 • Unbounded self-adjoint operators on Hilbert space, Konrad Schmüdgen, 2012, Dordrecht [etc.], Springer, 1 vol. (xx-432 p.), Graduate texts in mathematics, 978-94-0074752-4 |
جدول المحتويات:
- 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
- I Basics onClosed Operators
- II Spectral Theory
- III Special Topics
- IV Petirbations of Selfadjointness and of Spectra of Selfadjoint Operators
- V Forms and Operators
- VI Selfadjoint Extention Theory of Symmetric Operators
- 1 Closed Operators and Adjoint Operators
- 2 Spectrum of Closed Operators
- 3 Some Classes of Unbounded Operators
- 4 Spectral Measures and Spectral Integrals
- 5 Spectral Decomposition of Selfadjoint and Normal Operators
- 6 One-Parameter Groups and Semigroups of Operators
- 7 Miscellaneous
- 8 Perturbations of Selfadjoint Operators
- 9 Trace Class Perturbations of Spectra of Selfadjoint Operators
- 10 Semibounded Forms and Selfadjoint Operators
- 11 Sectorial Forms and m-Sectorial Operators
- 12 Discrete Spectrum of Selfadjoint Operators
- 13 Selfajoint Extensions: Cayley Transform and Krein Transform
- 14 Selfadjoint Extensions: Boundary Triplets
- 15 Sturm-Liouville Operators
- One-Dimensional Moment Problem