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 either a mo...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2012
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 145 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 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: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiv, 472 pages) |
| ISBN: | 9781139093514 |
| DOI: | 10.1017/CBO9781139093514 |
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| 505 | 8 | |a Introduction -- 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 | |
| 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 | ||
| 650 | 4 | |a Inverse problems (Differential equations) | |
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Datensatz im Suchindex
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| author | Arov, Damir Z. |
| author_facet | Arov, Damir Z. |
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| author_sort | Arov, Damir Z. |
| author_variant | d z a dz dza |
| building | Verbundindex |
| bvnumber | BV043941947 |
| classification_rvk | SK 640 |
| collection | ZDB-20-CBO |
| contents | Introduction -- 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 |
| ctrlnum | (ZDB-20-CBO)CR9781139093514 (OCoLC)1075952344 (DE-599)BVBBV043941947 |
| dewey-full | 515/.45 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.45 |
| dewey-search | 515/.45 |
| dewey-sort | 3515 245 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139093514 |
| format | Electronic eBook |
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| id | DE-604.BV043941947 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9781139093514 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350917 |
| oclc_num | 1075952344 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xiv, 472 pages) |
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| publishDate | 2012 |
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| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Encyclopedia of mathematics and its applications |
| spelling | Arov, Damir Z. Verfasser aut Bitangential direct and inverse problems for systems of integral and differential equations Damir Z. Arov, Harry Dym Bitangential Direct & Inverse Problems for Systems of Integral & Differential Equations Cambridge Cambridge University Press 2012 1 online resource (xiv, 472 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 145 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Introduction -- 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 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 Inverse problems (Differential equations) Integral equations System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd rswk-swf Inverses Problem (DE-588)4125161-1 gnd rswk-swf Integralgleichung (DE-588)4027229-1 gnd rswk-swf System von partiellen Differentialgleichungen (DE-588)4116672-3 s Integralgleichung (DE-588)4027229-1 s Inverses Problem (DE-588)4125161-1 s 1\p DE-604 Dym, Harry 1934- Sonstige oth Erscheint auch als Druckausgabe 978-1-107-01887-7 https://doi.org/10.1017/CBO9781139093514 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Arov, Damir Z. Bitangential direct and inverse problems for systems of integral and differential equations Introduction -- 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) Integral equations System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd Inverses Problem (DE-588)4125161-1 gnd Integralgleichung (DE-588)4027229-1 gnd |
| subject_GND | (DE-588)4116672-3 (DE-588)4125161-1 (DE-588)4027229-1 |
| title | Bitangential direct and inverse problems for systems of integral and differential equations |
| title_alt | Bitangential Direct & Inverse Problems for Systems of Integral & 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) Integral equations System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd Inverses Problem (DE-588)4125161-1 gnd Integralgleichung (DE-588)4027229-1 gnd |
| topic_facet | Inverse problems (Differential equations) Integral equations System von partiellen Differentialgleichungen Inverses Problem Integralgleichung |
| url | https://doi.org/10.1017/CBO9781139093514 |
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