Spectral Theory of Canonical Systems /:
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 Th...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
De Gruyter,
[2018]
|
| Schriftenreihe: | De Gruyter studies in mathematics ;
70. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (x, 194 pages) |
| ISBN: | 9783110563238 3110563231 9783110562286 3110562286 |
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| 520 | |a 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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| author | Remling, Christian |
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| contents | 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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| id | ZDB-4-EBA-on1049622171 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:29:06Z |
| institution | BVB |
| isbn | 9783110563238 3110563231 9783110562286 3110562286 |
| language | English |
| oclc_num | 1049622171 |
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| publishDate | 2018 |
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| publisher | De Gruyter, |
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| series | De Gruyter studies in mathematics ; |
| series2 | De Gruyter studies in mathematics ; |
| spelling | Remling, Christian, author. Spectral Theory of Canonical Systems / Christian Remling. Berlin ; Boston : De Gruyter, [2018] ©2018 1 online resource (x, 194 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter studies in mathematics ; volume 70 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 In English. Online resource; title from PDF title page (publisher's Web site, viewed 21. Aug 2018). 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. Spectral theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85126408 Spectre (Mathématiques) MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Spectral theory (Mathematics) fast has work: Spectral theory of canonical systems (Text) https://id.oclc.org/worldcat/entity/E39PCGGHCQTP7YT7HffTRP87VC https://id.oclc.org/worldcat/ontology/hasWork EPUB 9783110562286 print 9783110562026 De Gruyter studies in mathematics ; 70. FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1893622 Volltext |
| spellingShingle | Remling, Christian Spectral Theory of Canonical Systems / De Gruyter studies in mathematics ; 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 Spectral theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85126408 Spectre (Mathématiques) MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Spectral theory (Mathematics) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85126408 |
| title | Spectral Theory of Canonical Systems / |
| title_alt | 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 |
| title_auth | Spectral Theory of Canonical Systems / |
| title_exact_search | Spectral Theory of Canonical Systems / |
| title_full | Spectral Theory of Canonical Systems / Christian Remling. |
| title_fullStr | Spectral Theory of Canonical Systems / Christian Remling. |
| title_full_unstemmed | Spectral Theory of Canonical Systems / Christian Remling. |
| title_short | Spectral Theory of Canonical Systems / |
| title_sort | spectral theory of canonical systems |
| topic | Spectral theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85126408 Spectre (Mathématiques) MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Spectral theory (Mathematics) fast |
| topic_facet | Spectral theory (Mathematics) Spectre (Mathématiques) MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. |
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