Spectral Theory of Canonical Systems / / Christian Remling.
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...
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Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2018] ©2018 |
Year of Publication: | 2018 |
Language: | English |
Series: | De Gruyter Studies in Mathematics ,
70 |
Online Access: | |
Physical Description: | 1 online resource (X, 196 p.) |
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Other title: | Frontmatter -- Contents -- Preface -- 1. Basic Definitions -- 2. Symmetric and Self-Adjoint Relations -- 3. Spectral Representation -- 4. Transfer matrices and de Branges spaces -- 5. Inverse spectral theory -- 6. Some applications -- 7. The absolutely continuous spectrum -- Bibliography -- Index |
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Summary: | 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 |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9783110563238 9783110762488 9783110719550 9783110494938 9783110604252 9783110603255 9783110604191 9783110603194 |
ISSN: | 0179-0986 ; |
DOI: | 10.1515/9783110563238 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | Christian Remling. |