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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2012
|
| Series: | Encyclopedia of mathematics and its applications
volume 145 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | 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 |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xiv, 472 pages) |
| ISBN: | 9781139093514 |
| DOI: | 10.1017/CBO9781139093514 |
Staff View
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043941947 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s2012 |||| o||u| ||||||eng d | ||
| 020 | |a 9781139093514 |c Online |9 978-1-139-09351-4 | ||
| 024 | 7 | |a 10.1017/CBO9781139093514 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781139093514 | ||
| 035 | |a (OCoLC)1075952344 | ||
| 035 | |a (DE-599)BVBBV043941947 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 | ||
| 082 | 0 | |a 515/.45 |2 23 | |
| 084 | |a SK 640 |0 (DE-625)143250: |2 rvk | ||
| 100 | 1 | |a Arov, Damir Z. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Bitangential direct and inverse problems for systems of integral and differential equations |c Damir Z. Arov, Harry Dym |
| 246 | 1 | 3 | |a Bitangential Direct & Inverse Problems for Systems of Integral & Differential Equations |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2012 | |
| 300 | |a 1 online resource (xiv, 472 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Encyclopedia of mathematics and its applications |v volume 145 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 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) | |
| 650 | 4 | |a Integral equations | |
| 650 | 0 | 7 | |a System von partiellen Differentialgleichungen |0 (DE-588)4116672-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Inverses Problem |0 (DE-588)4125161-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Integralgleichung |0 (DE-588)4027229-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a System von partiellen Differentialgleichungen |0 (DE-588)4116672-3 |D s |
| 689 | 0 | 1 | |a Integralgleichung |0 (DE-588)4027229-1 |D s |
| 689 | 0 | 2 | |a Inverses Problem |0 (DE-588)4125161-1 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Dym, Harry |d 1934- |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-1-107-01887-7 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9781139093514 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029350917 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1017/CBO9781139093514 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9781139093514 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
Record in the Search Index
| _version_ | 1804176884277182464 |
|---|---|
| any_adam_object | |
| 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 | 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03979nmm a2200553zcb4500</leader><controlfield tag="001">BV043941947</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s2012 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139093514</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-139-09351-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9781139093514</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781139093514</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1075952344</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043941947</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.45</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 640</subfield><subfield code="0">(DE-625)143250:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Arov, Damir Z.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Bitangential direct and inverse problems for systems of integral and differential equations</subfield><subfield code="c">Damir Z. Arov, Harry Dym</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Bitangential Direct & Inverse Problems for Systems of Integral & Differential Equations</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xiv, 472 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Encyclopedia of mathematics and its applications</subfield><subfield code="v">volume 145</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 05 Oct 2015)</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="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</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inverse problems (Differential equations)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Integral equations</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">System von partiellen Differentialgleichungen</subfield><subfield code="0">(DE-588)4116672-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Integralgleichung</subfield><subfield code="0">(DE-588)4027229-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">System von partiellen Differentialgleichungen</subfield><subfield code="0">(DE-588)4116672-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Integralgleichung</subfield><subfield code="0">(DE-588)4027229-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Inverses Problem</subfield><subfield code="0">(DE-588)4125161-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Dym, Harry</subfield><subfield code="d">1934-</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-1-107-01887-7</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9781139093514</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029350917</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781139093514</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781139093514</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| 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 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xiv, 472 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| 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 |
| work_keys_str_mv | AT arovdamirz bitangentialdirectandinverseproblemsforsystemsofintegralanddifferentialequations AT dymharry bitangentialdirectandinverseproblemsforsystemsofintegralanddifferentialequations AT arovdamirz bitangentialdirectinverseproblemsforsystemsofintegraldifferentialequations AT dymharry bitangentialdirectinverseproblemsforsystemsofintegraldifferentialequations |