Spectral Theory of Canonical Systems
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| Title: | Spectral Theory of Canonical Systems |
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| Description: | Canonical systems occupy a central position in the spectral theory of second order differential operators. They may be used to realize arbitrary spectral data, and the classical operators such as Schrödinger, Jacobi, Dirac, and Sturm-Liouville equations can be written in this form. ‘Spectral Theory of Canonical Systems'offers a selfcontained and detailed introduction to this theory. Techniques to construct self-adjoint realizations in suitable Hilbert spaces, a modern treatment of de Branges spaces, and direct and inverse spectral problems are discussed. Contents Basic definitions Symmetric and self-adjoint relations Spectral representation Transfer matrices and de Branges spaces Inverse spectral theory Some applications The absolutely continuous spectrum |
| Authors: | Christian Remling |
| Resource Type: | eBook. |
| Subjects: | Spectral theory (Mathematics) |
| Categories: | MATHEMATICS / Differential Equations / Ordinary, MATHEMATICS / Mathematical Analysis, SCIENCE / Physics / Mathematical & Computational |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | Canonical systems occupy a central position in the spectral theory of second order differential operators. They may be used to realize arbitrary spectral data, and the classical operators such as Schrödinger, Jacobi, Dirac, and Sturm-Liouville equations can be written in this form. ‘Spectral Theory of Canonical Systems'offers a selfcontained and detailed introduction to this theory. Techniques to construct self-adjoint realizations in suitable Hilbert spaces, a modern treatment of de Branges spaces, and direct and inverse spectral problems are discussed. Contents Basic definitions Symmetric and self-adjoint relations Spectral representation Transfer matrices and de Branges spaces Inverse spectral theory Some applications The absolutely continuous spectrum |
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| ISBN: | 9783110562026 9783110562286 9783110563238 |
