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)

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
Creator
Contributor
Subject
Genre
Language
  • eng
  • eng
Summary
An essentially self-contained treatment ideal for mathematicians, physicists or engineers whose research is connected with inverse problems
Member of
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)
Instantiates
Publication
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 J-inner 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 Dirac-Krein 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 Feller-Krein string equation; 2.7 Differential systems with potential; 2.8 Dirac-Krein systems; 2.9 The Schrödinger equation; 2.10 Supplementary notes; 3 Matrix-valued 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=jpInner-outer factorization; Connections between mvf's AEU(Jp) and entire de Branges matrices; The Beurling-Lax theorem; 3.2 Linear fractional transformations and Redheffer transformations; Matrix balls; 3.3 The Riesz-Herglotz-Nevanlinna 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 Paley-Wiener theorems; 3.7 Entire inner mvf's; 3.8 J contractive, J-inner and entire J-inner mvf's
  • The Potapov--Ginzburg 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 J-inner 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 J-inner 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)
Publication
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 J-inner 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 Dirac-Krein 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 Feller-Krein string equation; 2.7 Differential systems with potential; 2.8 Dirac-Krein systems; 2.9 The Schrödinger equation; 2.10 Supplementary notes; 3 Matrix-valued 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=jpInner-outer factorization; Connections between mvf's AEU(Jp) and entire de Branges matrices; The Beurling-Lax theorem; 3.2 Linear fractional transformations and Redheffer transformations; Matrix balls; 3.3 The Riesz-Herglotz-Nevanlinna 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 Paley-Wiener theorems; 3.7 Entire inner mvf's; 3.8 J contractive, J-inner and entire J-inner mvf's
  • The Potapov--Ginzburg 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 J-inner 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 J-inner 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

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