J-contractive matrix valued functions and related topics:
J-contractive and J-inner matrix valued functions have a wide range of applications in mathematical analysis, mathematical physics, control engineering and theory of systems and networks. This book provides a comprehensive introduction to the theory of these functions with respect to the open upper...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2008
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 116 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | J-contractive and J-inner matrix valued functions have a wide range of applications in mathematical analysis, mathematical physics, control engineering and theory of systems and networks. This book provides a comprehensive introduction to the theory of these functions with respect to the open upper half-plane, and a number of applications are also discussed. The first chapters develop the requisite background material from the geometry of finite dimensional spaces with an indefinite inner product, and the theory of the Nevanlinna class of matrix valued functions with bounded characteristic in the open upper half-plane (with attention to special subclasses). Subsequent chapters develop this theory to include associated pairs of inner matrix valued functions and reproducing kernel Hilbert spaces. Special attention is paid to the subclasses of regular and strongly regular J-inner matrix valued functions, which play an essential role in the study of the extension and interpolation problems |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xi, 575 pages) |
| ISBN: | 9780511721427 |
| DOI: | 10.1017/CBO9780511721427 |
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| 100 | 1 | |a Arov, Damir Z. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a J-contractive matrix valued functions and related topics |c Damir Z. Arov and Harry Dym |
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| 490 | 0 | |a Encyclopedia of mathematics and its applications |v volume 116 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a 1. Introduction -- 2. Algebraic preliminaries -- 3. Nevanlinna class of meromorphic mvf's -- 4. J-contractive and J-inner matrix valued functions -- 5. Reproducing kernel Kilbert spaces -- 6. Operator nodes and passive systems -- 7. Generalized interpolation problems -- 8. Generalized Krein extension problems -- 9. Darlington representations and related inverse problems -- 10. More criteria for strong regularity -- 11. Formulas for entropy functionals | |
| 520 | |a J-contractive and J-inner matrix valued functions have a wide range of applications in mathematical analysis, mathematical physics, control engineering and theory of systems and networks. This book provides a comprehensive introduction to the theory of these functions with respect to the open upper half-plane, and a number of applications are also discussed. The first chapters develop the requisite background material from the geometry of finite dimensional spaces with an indefinite inner product, and the theory of the Nevanlinna class of matrix valued functions with bounded characteristic in the open upper half-plane (with attention to special subclasses). Subsequent chapters develop this theory to include associated pairs of inner matrix valued functions and reproducing kernel Hilbert spaces. Special attention is paid to the subclasses of regular and strongly regular J-inner matrix valued functions, which play an essential role in the study of the extension and interpolation problems | ||
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Datensatz im Suchindex
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| author | Arov, Damir Z. |
| author_facet | Arov, Damir Z. |
| author_role | aut |
| author_sort | Arov, Damir Z. |
| author_variant | d z a dz dza |
| building | Verbundindex |
| bvnumber | BV043941838 |
| classification_rvk | SK 600 SK 620 SK 750 |
| collection | ZDB-20-CBO |
| contents | 1. Introduction -- 2. Algebraic preliminaries -- 3. Nevanlinna class of meromorphic mvf's -- 4. J-contractive and J-inner matrix valued functions -- 5. Reproducing kernel Kilbert spaces -- 6. Operator nodes and passive systems -- 7. Generalized interpolation problems -- 8. Generalized Krein extension problems -- 9. Darlington representations and related inverse problems -- 10. More criteria for strong regularity -- 11. Formulas for entropy functionals |
| ctrlnum | (ZDB-20-CBO)CR9780511721427 (OCoLC)850983508 (DE-599)BVBBV043941838 |
| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7 |
| dewey-search | 515.7 |
| dewey-sort | 3515.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511721427 |
| format | Electronic eBook |
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| id | DE-604.BV043941838 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511721427 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350808 |
| oclc_num | 850983508 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xi, 575 pages) |
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| publishDate | 2008 |
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| publisher | Cambridge University Press |
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| series2 | Encyclopedia of mathematics and its applications |
| spelling | Arov, Damir Z. Verfasser aut J-contractive matrix valued functions and related topics Damir Z. Arov and Harry Dym J-Contractive Matrix Valued Functions & Related Topics Cambridge Cambridge University Press 2008 1 online resource (xi, 575 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 116 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1. Introduction -- 2. Algebraic preliminaries -- 3. Nevanlinna class of meromorphic mvf's -- 4. J-contractive and J-inner matrix valued functions -- 5. Reproducing kernel Kilbert spaces -- 6. Operator nodes and passive systems -- 7. Generalized interpolation problems -- 8. Generalized Krein extension problems -- 9. Darlington representations and related inverse problems -- 10. More criteria for strong regularity -- 11. Formulas for entropy functionals J-contractive and J-inner matrix valued functions have a wide range of applications in mathematical analysis, mathematical physics, control engineering and theory of systems and networks. This book provides a comprehensive introduction to the theory of these functions with respect to the open upper half-plane, and a number of applications are also discussed. The first chapters develop the requisite background material from the geometry of finite dimensional spaces with an indefinite inner product, and the theory of the Nevanlinna class of matrix valued functions with bounded characteristic in the open upper half-plane (with attention to special subclasses). Subsequent chapters develop this theory to include associated pairs of inner matrix valued functions and reproducing kernel Hilbert spaces. Special attention is paid to the subclasses of regular and strongly regular J-inner matrix valued functions, which play an essential role in the study of the extension and interpolation problems Functions of complex variables Matrices Matrixwertige Funktion (DE-588)4128928-6 gnd rswk-swf Matrixwertige Funktion (DE-588)4128928-6 s 1\p DE-604 Dym, H. 1938- Sonstige oth Erscheint auch als Druckausgabe 978-0-521-88300-9 https://doi.org/10.1017/CBO9780511721427 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Arov, Damir Z. J-contractive matrix valued functions and related topics 1. Introduction -- 2. Algebraic preliminaries -- 3. Nevanlinna class of meromorphic mvf's -- 4. J-contractive and J-inner matrix valued functions -- 5. Reproducing kernel Kilbert spaces -- 6. Operator nodes and passive systems -- 7. Generalized interpolation problems -- 8. Generalized Krein extension problems -- 9. Darlington representations and related inverse problems -- 10. More criteria for strong regularity -- 11. Formulas for entropy functionals Functions of complex variables Matrices Matrixwertige Funktion (DE-588)4128928-6 gnd |
| subject_GND | (DE-588)4128928-6 |
| title | J-contractive matrix valued functions and related topics |
| title_alt | J-Contractive Matrix Valued Functions & Related Topics |
| title_auth | J-contractive matrix valued functions and related topics |
| title_exact_search | J-contractive matrix valued functions and related topics |
| title_full | J-contractive matrix valued functions and related topics Damir Z. Arov and Harry Dym |
| title_fullStr | J-contractive matrix valued functions and related topics Damir Z. Arov and Harry Dym |
| title_full_unstemmed | J-contractive matrix valued functions and related topics Damir Z. Arov and Harry Dym |
| title_short | J-contractive matrix valued functions and related topics |
| title_sort | j contractive matrix valued functions and related topics |
| topic | Functions of complex variables Matrices Matrixwertige Funktion (DE-588)4128928-6 gnd |
| topic_facet | Functions of complex variables Matrices Matrixwertige Funktion |
| url | https://doi.org/10.1017/CBO9780511721427 |
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