Bitangential direct and inverse problems for systems of integral and differential equations /:
"This largely self-contained treatment surveys, unites and extends some 20 years of research on direct and inverse problems for canonical systems of integral and differential equations and related systems. Five basic inverse problems are studied in which the main part of the given data is eithe...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, UK ; New York :
Cambridge University Press,
2012.
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications ;
145. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "This largely self-contained treatment surveys, unites and extends some 20 years of research on direct and inverse problems for canonical systems of integral and differential equations and related systems. Five basic inverse problems are studied in which the main part of the given data is either a monodromy matrix; an input scattering matrix; an input impedance matrix; a matrix valued spectral function; or an asymptotic scattering matrix. The corresponding direct problems are also treated. The book incorporates introductions to the theory of matrix valued entire functions, reproducing kernel Hilbert spaces of vector valued entire functions (with special attention to two important spaces introduced by L. de Branges), the theory of J-inner matrix valued functions and their application to bitangential interpolation and extension problems, which can be used independently for courses and seminars in analysis or for self-study. A number of examples are presented to illustrate the theory"-- |
| Beschreibung: | 1 online resource (xiv, 472 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781139549653 1139549650 9781139093514 1139093517 9781107264182 1107264189 6613950777 9786613950772 1283638312 9781283638319 9781139552158 1139552155 1139887572 9781139887571 1139555863 9781139555869 1139554611 9781139554619 |
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| 520 | |a "This largely self-contained treatment surveys, unites and extends some 20 years of research on direct and inverse problems for canonical systems of integral and differential equations and related systems. Five basic inverse problems are studied in which the main part of the given data is either a monodromy matrix; an input scattering matrix; an input impedance matrix; a matrix valued spectral function; or an asymptotic scattering matrix. The corresponding direct problems are also treated. The book incorporates introductions to the theory of matrix valued entire functions, reproducing kernel Hilbert spaces of vector valued entire functions (with special attention to two important spaces introduced by L. de Branges), the theory of J-inner matrix valued functions and their application to bitangential interpolation and extension problems, which can be used independently for courses and seminars in analysis or for self-study. A number of examples are presented to illustrate the theory"-- |c Provided by publisher | ||
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Canonical systems and related differential equations -- Matrix-valued functions in the Nevanlinna class -- Interpolation problems, resolvent matrices and de Branges spaces -- Chains that are matrizants and chains of associated pairs -- The bitangential direct input scattering problems -- Bitangential direct input impedance and spectral problems -- Inverse monodromy problems -- Bitangential Krein extension problems -- Bitangential inverse input scattering problems -- Bitangential inverse input impedance and spectral problems -- Direct and inverse problems for Dirac-Krein systems. | |
| 546 | |a English. | ||
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| author | Arov, Damir Z. |
| author2 | Dym, Harry, 1934- |
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| contents | Canonical systems and related differential equations -- Matrix-valued functions in the Nevanlinna class -- Interpolation problems, resolvent matrices and de Branges spaces -- Chains that are matrizants and chains of associated pairs -- The bitangential direct input scattering problems -- Bitangential direct input impedance and spectral problems -- Inverse monodromy problems -- Bitangential Krein extension problems -- Bitangential inverse input scattering problems -- Bitangential inverse input impedance and spectral problems -- Direct and inverse problems for Dirac-Krein systems. |
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| id | ZDB-4-EBA-ocn812196038 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:24:59Z |
| institution | BVB |
| isbn | 9781139549653 1139549650 9781139093514 1139093517 9781107264182 1107264189 6613950777 9786613950772 1283638312 9781283638319 9781139552158 1139552155 1139887572 9781139887571 1139555863 9781139555869 1139554611 9781139554619 |
| language | English |
| oclc_num | 812196038 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiv, 472 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | Encyclopedia of mathematics and its applications ; |
| series2 | Encyclopedia of mathematics and its applications ; |
| spelling | Arov, Damir Z. http://id.loc.gov/authorities/names/nb2008023696 Bitangential direct and inverse problems for systems of integral and differential equations / Damir Z. Arov, Harry Dym. Cambridge, UK ; New York : Cambridge University Press, 2012. 1 online resource (xiv, 472 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Encyclopedia of mathematics and its applications ; 145 "This largely self-contained treatment surveys, unites and extends some 20 years of research on direct and inverse problems for canonical systems of integral and differential equations and related systems. Five basic inverse problems are studied in which the main part of the given data is either a monodromy matrix; an input scattering matrix; an input impedance matrix; a matrix valued spectral function; or an asymptotic scattering matrix. The corresponding direct problems are also treated. The book incorporates introductions to the theory of matrix valued entire functions, reproducing kernel Hilbert spaces of vector valued entire functions (with special attention to two important spaces introduced by L. de Branges), the theory of J-inner matrix valued functions and their application to bitangential interpolation and extension problems, which can be used independently for courses and seminars in analysis or for self-study. A number of examples are presented to illustrate the theory"-- Provided by publisher Includes bibliographical references and index. Print version record. Canonical systems and related differential equations -- Matrix-valued functions in the Nevanlinna class -- Interpolation problems, resolvent matrices and de Branges spaces -- Chains that are matrizants and chains of associated pairs -- The bitangential direct input scattering problems -- Bitangential direct input impedance and spectral problems -- Inverse monodromy problems -- Bitangential Krein extension problems -- Bitangential inverse input scattering problems -- Bitangential inverse input impedance and spectral problems -- Direct and inverse problems for Dirac-Krein systems. English. Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Integral equations. http://id.loc.gov/authorities/subjects/sh85067088 Problèmes inverses (Équations différentielles) Équations intégrales. MATHEMATICS General. bisacsh MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Ecuaciones integrales embne Integral equations fast Inverse problems (Differential equations) fast Dym, Harry, 1934- https://id.oclc.org/worldcat/entity/E39PCjqvgPF9HpCjjMMBBkGF4y http://id.loc.gov/authorities/names/n2012001915 Print version: Arov, Damir Z. Bitangential direct and inverse problems for systems of integral and differential equations. Cambridge, UK ; New York : Cambridge University Press, 2012 9781107018877 (DLC) 2012000304 (OCoLC)775664076 Encyclopedia of mathematics and its applications ; 145. http://id.loc.gov/authorities/names/n42010632 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=473153 Volltext |
| spellingShingle | Arov, Damir Z. Bitangential direct and inverse problems for systems of integral and differential equations / Encyclopedia of mathematics and its applications ; Canonical systems and related differential equations -- Matrix-valued functions in the Nevanlinna class -- Interpolation problems, resolvent matrices and de Branges spaces -- Chains that are matrizants and chains of associated pairs -- The bitangential direct input scattering problems -- Bitangential direct input impedance and spectral problems -- Inverse monodromy problems -- Bitangential Krein extension problems -- Bitangential inverse input scattering problems -- Bitangential inverse input impedance and spectral problems -- Direct and inverse problems for Dirac-Krein systems. Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Integral equations. http://id.loc.gov/authorities/subjects/sh85067088 Problèmes inverses (Équations différentielles) Équations intégrales. MATHEMATICS General. bisacsh MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Ecuaciones integrales embne Integral equations fast Inverse problems (Differential equations) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85067684 http://id.loc.gov/authorities/subjects/sh85067088 |
| title | Bitangential direct and inverse problems for systems of integral and differential equations / |
| title_auth | Bitangential direct and inverse problems for systems of integral and differential equations / |
| title_exact_search | Bitangential direct and inverse problems for systems of integral and differential equations / |
| title_full | Bitangential direct and inverse problems for systems of integral and differential equations / Damir Z. Arov, Harry Dym. |
| title_fullStr | Bitangential direct and inverse problems for systems of integral and differential equations / Damir Z. Arov, Harry Dym. |
| title_full_unstemmed | Bitangential direct and inverse problems for systems of integral and differential equations / Damir Z. Arov, Harry Dym. |
| title_short | Bitangential direct and inverse problems for systems of integral and differential equations / |
| title_sort | bitangential direct and inverse problems for systems of integral and differential equations |
| topic | Inverse problems (Differential equations) http://id.loc.gov/authorities/subjects/sh85067684 Integral equations. http://id.loc.gov/authorities/subjects/sh85067088 Problèmes inverses (Équations différentielles) Équations intégrales. MATHEMATICS General. bisacsh MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Ecuaciones integrales embne Integral equations fast Inverse problems (Differential equations) fast |
| topic_facet | Inverse problems (Differential equations) Integral equations. Problèmes inverses (Équations différentielles) Équations intégrales. MATHEMATICS General. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Ecuaciones integrales Integral equations |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=473153 |
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