Borrow it
 Albert D. Cohen Management Library
 Architecture/Fine Arts Library
 Archives and Special Collections
 Bibliothèque AlfredMonnin (Université de SaintBoniface)
 Bill Larson Library (Grace Hospital)
 Carolyn Sifton  Helene Fuld Library (St. Boniface General Hospital)
 Concordia Hospital Library
 Donald W. Craik Engineering Library
 E.K. Williams Law Library
 EckhardtGramatté Music Library
 Elizabeth Dafoe Library
 Fr. H. Drake Library (St. Paul's College)
 J.W. Crane Memorial Library (Deer Lodge Centre)
 Libraries Annex (not open to the public; please see web page for details)
 Neil John Maclean Health Sciences Library
 Sciences and Technology Library
 Seven Oaks General Hospital Library
 Sister St. Odilon Library (Misericordia Health Centre)
 St. John's College Library
 Victoria General Hospital Library
 William R Newman Library (Agriculture)
The Resource Bitangential direct and inverse problems for systems of integral and differential equations, Damir Z. Arov, Harry Dym, (electronic resource)
Bitangential direct and inverse problems for systems of integral and differential equations, Damir Z. Arov, Harry Dym, (electronic resource)
Resource Information
The item Bitangential direct and inverse problems for systems of integral and differential equations, Damir Z. Arov, Harry Dym, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Bitangential direct and inverse problems for systems of integral and differential equations, Damir Z. Arov, Harry Dym, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 An essentially selfcontained treatment ideal for mathematicians, physicists or engineers whose research is connected with inverse problems
 Language

 eng
 eng
 Extent
 1 online resource (488 p.)
 Note
 Description based upon print version of record
 Contents

 Cover; BITANGENTIAL DIRECT AND INVERSE PROBLEMS FOR SYSTEMS OF INTEGRAL AND DIFFERENTIAL EQUATIONS; Series; Title; Copyright; Dedication; CONTENTS; PREFACE; 1 Introduction; 1.1 The matrizant as a chain of entire Jinner mvf's; 1.2 Monodromy matrices of regular systems; 1.3 Canonical integral systems; 1.4 Singular, right regular and right strongly regular matrizants; 1.5 Input scattering matrices; 1.6 Chains of associated pairs of the first kind; 1.7 The bitangential direct input scattering problem; 1.8 Bitangential inverse monodromy and inverse scattering problems
 1.9 The generalized Schur interpolation problem1.10 Identifying matrizants as resolvent matrices when J=jpq; 1.11 Input impedance matrices and spectral functions; 1.12 de Branges spaces; 1.13 Bitangential direct and inverse input impedance and spectral problems; 1.14 Krein extension problems and Dirac systems; 1.15 Direct and inverse problems for DiracKrein systems; 1.16 Supplementary notes; 2 Canonical systems and related differential equations; 2.1 Canonical integral systems; 2.2 Connections with canonical differential systems; 2.3 The matrizant and its properties
 2.4 Regular case: Monodromy matrix2.5 Multiplicative integral formulas for matrizants and monodromy matrices; Potapov's theorems; 2.6 The FellerKrein string equation; 2.7 Differential systems with potential; 2.8 DiracKrein systems; 2.9 The Schrödinger equation; 2.10 Supplementary notes; 3 Matrixvalued functions in the Nevanlinna class; Basic classes of functions; Initial data that generate square summable solutions; Two basic theorems; 3.1 Preliminaries on the Nevanlinna class Npq; The Smirnov maximum principle; Regular de Branges matrices and spaces B
 Symplectic and/or real matrizants for J=jpInnerouter factorization; Connections between mvf's AEU(Jp) and entire de Branges matrices; The BeurlingLax theorem; 3.2 Linear fractional transformations and Redheffer transformations; Matrix balls; 3.3 The RieszHerglotzNevanlinna representation; Some proper subclasses of the Carathéodory class; 3.4 The class ENpq of entire mvf's in Npq; 3.5 The class pq of mvf's in Npq with pseudocontinuations; 3.6 Fourier transforms and PaleyWiener theorems; 3.7 Entire inner mvf's; 3.8 J contractive, Jinner and entire Jinner mvf's
 The PotapovGinzburg transform of P(J) into Smm and U(J) into SinmmConnections with the classes Cmm and Csingmm; 3.9 Associated pairs of the first kind; 3.10 Singular and right (and left) regular Jinner mvf's; 3.11 Linear fractional transformations of Spq into itself; 3.12 Linear fractional transformations in Cpp and from Spp into Cpp; Affine generalizations of Cpp; 3.13 Associated pairs of the second kind; 3.14 Supplementary notes; 4 Interpolation problems, resolvent matrices and de Branges spaces; 4.1 The Nehari problem; 4.2 The generalized Schur interpolation problem
 4.3 Right and left strongly regular Jinner mvf's
 Isbn
 9781139093514
 Label
 Bitangential direct and inverse problems for systems of integral and differential equations
 Title
 Bitangential direct and inverse problems for systems of integral and differential equations
 Statement of responsibility
 Damir Z. Arov, Harry Dym
 Language

 eng
 eng
 Summary
 An essentially selfcontained treatment ideal for mathematicians, physicists or engineers whose research is connected with inverse problems
 Cataloging source
 MiAaPQ
 http://library.link/vocab/creatorName
 Arov, Damir Z
 Dewey number

 515.45
 515/.45
 Index
 no index present
 Language note
 English
 LC call number
 QA378.5
 LC item number
 .A76 2012
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1934
 http://library.link/vocab/relatedWorkOrContributorName
 Dym, Harry
 Series statement
 Encyclopedia of mathematics and its applications
 Series volume
 145
 http://library.link/vocab/subjectName

 Integral equations
 Inverse problems (Differential equations)
 Label
 Bitangential direct and inverse problems for systems of integral and differential equations, Damir Z. Arov, Harry Dym, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents

 Cover; BITANGENTIAL DIRECT AND INVERSE PROBLEMS FOR SYSTEMS OF INTEGRAL AND DIFFERENTIAL EQUATIONS; Series; Title; Copyright; Dedication; CONTENTS; PREFACE; 1 Introduction; 1.1 The matrizant as a chain of entire Jinner mvf's; 1.2 Monodromy matrices of regular systems; 1.3 Canonical integral systems; 1.4 Singular, right regular and right strongly regular matrizants; 1.5 Input scattering matrices; 1.6 Chains of associated pairs of the first kind; 1.7 The bitangential direct input scattering problem; 1.8 Bitangential inverse monodromy and inverse scattering problems
 1.9 The generalized Schur interpolation problem1.10 Identifying matrizants as resolvent matrices when J=jpq; 1.11 Input impedance matrices and spectral functions; 1.12 de Branges spaces; 1.13 Bitangential direct and inverse input impedance and spectral problems; 1.14 Krein extension problems and Dirac systems; 1.15 Direct and inverse problems for DiracKrein systems; 1.16 Supplementary notes; 2 Canonical systems and related differential equations; 2.1 Canonical integral systems; 2.2 Connections with canonical differential systems; 2.3 The matrizant and its properties
 2.4 Regular case: Monodromy matrix2.5 Multiplicative integral formulas for matrizants and monodromy matrices; Potapov's theorems; 2.6 The FellerKrein string equation; 2.7 Differential systems with potential; 2.8 DiracKrein systems; 2.9 The Schrödinger equation; 2.10 Supplementary notes; 3 Matrixvalued functions in the Nevanlinna class; Basic classes of functions; Initial data that generate square summable solutions; Two basic theorems; 3.1 Preliminaries on the Nevanlinna class Npq; The Smirnov maximum principle; Regular de Branges matrices and spaces B
 Symplectic and/or real matrizants for J=jpInnerouter factorization; Connections between mvf's AEU(Jp) and entire de Branges matrices; The BeurlingLax theorem; 3.2 Linear fractional transformations and Redheffer transformations; Matrix balls; 3.3 The RieszHerglotzNevanlinna representation; Some proper subclasses of the Carathéodory class; 3.4 The class ENpq of entire mvf's in Npq; 3.5 The class pq of mvf's in Npq with pseudocontinuations; 3.6 Fourier transforms and PaleyWiener theorems; 3.7 Entire inner mvf's; 3.8 J contractive, Jinner and entire Jinner mvf's
 The PotapovGinzburg transform of P(J) into Smm and U(J) into SinmmConnections with the classes Cmm and Csingmm; 3.9 Associated pairs of the first kind; 3.10 Singular and right (and left) regular Jinner mvf's; 3.11 Linear fractional transformations of Spq into itself; 3.12 Linear fractional transformations in Cpp and from Spp into Cpp; Affine generalizations of Cpp; 3.13 Associated pairs of the second kind; 3.14 Supplementary notes; 4 Interpolation problems, resolvent matrices and de Branges spaces; 4.1 The Nehari problem; 4.2 The generalized Schur interpolation problem
 4.3 Right and left strongly regular Jinner mvf's
 Dimensions
 unknown
 Extent
 1 online resource (488 p.)
 Form of item
 online
 Isbn
 9781139093514
 Media category
 computer
 Media type code
 c
 Specific material designation
 remote
 System control number

 (CKB)2550000000707774
 (EBL)989076
 (OCoLC)813396550
 (SSID)ssj0000722474
 (PQKBManifestationID)11455022
 (PQKBTitleCode)TC0000722474
 (PQKBWorkID)10695504
 (PQKB)11088590
 (UkCbUP)CR9781139093514
 (MiAaPQ)EBC989076
 (EXLCZ)992550000000707774
 Label
 Bitangential direct and inverse problems for systems of integral and differential equations, Damir Z. Arov, Harry Dym, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents

 Cover; BITANGENTIAL DIRECT AND INVERSE PROBLEMS FOR SYSTEMS OF INTEGRAL AND DIFFERENTIAL EQUATIONS; Series; Title; Copyright; Dedication; CONTENTS; PREFACE; 1 Introduction; 1.1 The matrizant as a chain of entire Jinner mvf's; 1.2 Monodromy matrices of regular systems; 1.3 Canonical integral systems; 1.4 Singular, right regular and right strongly regular matrizants; 1.5 Input scattering matrices; 1.6 Chains of associated pairs of the first kind; 1.7 The bitangential direct input scattering problem; 1.8 Bitangential inverse monodromy and inverse scattering problems
 1.9 The generalized Schur interpolation problem1.10 Identifying matrizants as resolvent matrices when J=jpq; 1.11 Input impedance matrices and spectral functions; 1.12 de Branges spaces; 1.13 Bitangential direct and inverse input impedance and spectral problems; 1.14 Krein extension problems and Dirac systems; 1.15 Direct and inverse problems for DiracKrein systems; 1.16 Supplementary notes; 2 Canonical systems and related differential equations; 2.1 Canonical integral systems; 2.2 Connections with canonical differential systems; 2.3 The matrizant and its properties
 2.4 Regular case: Monodromy matrix2.5 Multiplicative integral formulas for matrizants and monodromy matrices; Potapov's theorems; 2.6 The FellerKrein string equation; 2.7 Differential systems with potential; 2.8 DiracKrein systems; 2.9 The Schrödinger equation; 2.10 Supplementary notes; 3 Matrixvalued functions in the Nevanlinna class; Basic classes of functions; Initial data that generate square summable solutions; Two basic theorems; 3.1 Preliminaries on the Nevanlinna class Npq; The Smirnov maximum principle; Regular de Branges matrices and spaces B
 Symplectic and/or real matrizants for J=jpInnerouter factorization; Connections between mvf's AEU(Jp) and entire de Branges matrices; The BeurlingLax theorem; 3.2 Linear fractional transformations and Redheffer transformations; Matrix balls; 3.3 The RieszHerglotzNevanlinna representation; Some proper subclasses of the Carathéodory class; 3.4 The class ENpq of entire mvf's in Npq; 3.5 The class pq of mvf's in Npq with pseudocontinuations; 3.6 Fourier transforms and PaleyWiener theorems; 3.7 Entire inner mvf's; 3.8 J contractive, Jinner and entire Jinner mvf's
 The PotapovGinzburg transform of P(J) into Smm and U(J) into SinmmConnections with the classes Cmm and Csingmm; 3.9 Associated pairs of the first kind; 3.10 Singular and right (and left) regular Jinner mvf's; 3.11 Linear fractional transformations of Spq into itself; 3.12 Linear fractional transformations in Cpp and from Spp into Cpp; Affine generalizations of Cpp; 3.13 Associated pairs of the second kind; 3.14 Supplementary notes; 4 Interpolation problems, resolvent matrices and de Branges spaces; 4.1 The Nehari problem; 4.2 The generalized Schur interpolation problem
 4.3 Right and left strongly regular Jinner mvf's
 Dimensions
 unknown
 Extent
 1 online resource (488 p.)
 Form of item
 online
 Isbn
 9781139093514
 Media category
 computer
 Media type code
 c
 Specific material designation
 remote
 System control number

 (CKB)2550000000707774
 (EBL)989076
 (OCoLC)813396550
 (SSID)ssj0000722474
 (PQKBManifestationID)11455022
 (PQKBTitleCode)TC0000722474
 (PQKBWorkID)10695504
 (PQKB)11088590
 (UkCbUP)CR9781139093514
 (MiAaPQ)EBC989076
 (EXLCZ)992550000000707774
Library Locations

Albert D. Cohen Management LibraryBorrow it181 Freedman Crescent, Winnipeg, MB, R3T 5V4, CA49.807878 97.129961


Archives and Special CollectionsBorrow it25 Chancellors Circle (Elizabeth Dafoe Library), Room 330, Winnipeg, MB, R3T 2N2, CA49.809961 97.131878

Bibliothèque AlfredMonnin (Université de SaintBoniface)Borrow it200, avenue de la Cathédrale, Local 2110, Winnipeg, MB, R2H 0H7, CA49.888861 97.119735

Bill Larson Library (Grace Hospital)Borrow it300 Booth Drive, G227, Winnipeg, MB, R3J 3M7, CA49.882400 97.276436

Carolyn Sifton  Helene Fuld Library (St. Boniface General Hospital)Borrow it409 Tache Avenue, Winnipeg, MB, R2H 2A6, CA49.883388 97.126050

Concordia Hospital LibraryBorrow it1095 Concordia Avenue, Winnipeg, MB, R2K 3S8, CA49.913252 97.064683

Donald W. Craik Engineering LibraryBorrow it75B Chancellors Circle (Engineering Building E3), Room 361, Winnipeg, MB, R3T 2N2, CA49.809053 97.133292


EckhardtGramatté Music LibraryBorrow it136 Dafoe Road (Taché Arts Complex), Room 257, Winnipeg, MB, R3T 2N2, CA49.807964 97.132222

Elizabeth Dafoe LibraryBorrow it25 Chancellors Circle, Winnipeg, MB, R3T 2N2, CA49.809961 97.131878

Fr. H. Drake Library (St. Paul's College)Borrow it70 Dysart Road, Winnipeg, MB, R3T 2M6, CA49.810605 97.138184

J.W. Crane Memorial Library (Deer Lodge Centre)Borrow it2109 Portage Avenue, Winnipeg, MB, R3J 0L3, CA49.878000 97.235520

Libraries Annex (not open to the public; please see web page for details)Borrow it25 Chancellors Circle (in the Elizabeth Dafoe Library), Winnipeg, MB, R3T 2N2, CA49.809961 97.131878

Neil John Maclean Health Sciences LibraryBorrow it727 McDermot Avenue (Brodie Centre), 200 Level, Winnipeg, MB, R3E 3P5, CA49.903563 97.160554

Sciences and Technology LibraryBorrow it186 Dysart Road, Winnipeg, MB, R3T 2M8, CA49.811526 97.133257

Seven Oaks General Hospital LibraryBorrow it2300 McPhillips Street, Winnipeg, MB, R2V 3M3, CA49.955177 97.148865

Sister St. Odilon Library (Misericordia Health Centre)Borrow it99 Cornish Avenue, Winnipeg, MB, R3C 1A2, CA49.879592 97.160425


Victoria General Hospital LibraryBorrow it2340 Pembina Highway, Winnipeg, MB, R3T 2E8, CA49.806755 97.152739

William R Newman Library (Agriculture)Borrow it66 Dafoe Road, Winnipeg, MB, R3T 2R3, CA49.806936 97.135525
Library Links
Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/portal/Bitangentialdirectandinverseproblemsfor/yAwg2R0h1cY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/portal/Bitangentialdirectandinverseproblemsfor/yAwg2R0h1cY/">Bitangential direct and inverse problems for systems of integral and differential equations, Damir Z. Arov, Harry Dym, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Bitangential direct and inverse problems for systems of integral and differential equations, Damir Z. Arov, Harry Dym, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/portal/Bitangentialdirectandinverseproblemsfor/yAwg2R0h1cY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/portal/Bitangentialdirectandinverseproblemsfor/yAwg2R0h1cY/">Bitangential direct and inverse problems for systems of integral and differential equations, Damir Z. Arov, Harry Dym, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>