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The Resource Bitangential direct and inverse problems for systems of integral and differential equations, Damir Z. Arov, Harry Dym
Bitangential direct and inverse problems for systems of integral and differential equations, Damir Z. Arov, Harry Dym
Resource Information
The item Bitangential direct and inverse problems for systems of integral and differential equations, Damir Z. Arov, Harry Dym represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University 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 represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 "This largely selfcontained 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 Jinner 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 selfstudy. A number of examples are presented to illustrate the theory"
 Language
 eng
 Extent
 xiv, 472 pages
 Contents

 Machine generated contents note: 1. Introduction; 2. Canonical systems and related differential equations; 3. Matrix valued functions in the Nevanlinna class; 4. Interpolation problems, resolvent matrices and de Branges spaces; 5. Chains that are matrizants and chains of associated pairs; 6. The bitangential direct input scattering problems; 7. Bitangential direct input impedance and spectral problems; 8. Inverse monodromy problems; 9. Bitangential Krein extension problems; 10. Bitangential inverse input scattering problems; 11. Bitangential inverse input impedance and spectral problems; 12. Direct and inverse problems for DiracKrein systems; Bibliography; Index
 Isbn
 9781107018877
 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
 Summary
 "This largely selfcontained 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 Jinner 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 selfstudy. A number of examples are presented to illustrate the theory"
 Assigning source
 Provided by publisher
 Cataloging source
 DLC
 http://library.link/vocab/creatorName
 Arov, Damir Z
 Index
 index present
 LC call number
 QA378.5
 LC item number
 .A76 2012
 Literary form
 non fiction
 Nature of contents
 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

 Inverse problems (Differential equations)
 Integral equations
 MATHEMATICS
 Integral equations
 Inverse problems (Differential equations)
 Label
 Bitangential direct and inverse problems for systems of integral and differential equations, Damir Z. Arov, Harry Dym
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code
 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Machine generated contents note: 1. Introduction; 2. Canonical systems and related differential equations; 3. Matrix valued functions in the Nevanlinna class; 4. Interpolation problems, resolvent matrices and de Branges spaces; 5. Chains that are matrizants and chains of associated pairs; 6. The bitangential direct input scattering problems; 7. Bitangential direct input impedance and spectral problems; 8. Inverse monodromy problems; 9. Bitangential Krein extension problems; 10. Bitangential inverse input scattering problems; 11. Bitangential inverse input impedance and spectral problems; 12. Direct and inverse problems for DiracKrein systems; Bibliography; Index
 Dimensions
 24 cm.
 Extent
 xiv, 472 pages
 Isbn
 9781107018877
 Isbn Type
 (hardback)
 Lccn
 2012000304
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code
 n
 System control number

 (OCoLC)775664076
 (OCoLC)ocn775664076
 Label
 Bitangential direct and inverse problems for systems of integral and differential equations, Damir Z. Arov, Harry Dym
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code
 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Machine generated contents note: 1. Introduction; 2. Canonical systems and related differential equations; 3. Matrix valued functions in the Nevanlinna class; 4. Interpolation problems, resolvent matrices and de Branges spaces; 5. Chains that are matrizants and chains of associated pairs; 6. The bitangential direct input scattering problems; 7. Bitangential direct input impedance and spectral problems; 8. Inverse monodromy problems; 9. Bitangential Krein extension problems; 10. Bitangential inverse input scattering problems; 11. Bitangential inverse input impedance and spectral problems; 12. Direct and inverse problems for DiracKrein systems; Bibliography; Index
 Dimensions
 24 cm.
 Extent
 xiv, 472 pages
 Isbn
 9781107018877
 Isbn Type
 (hardback)
 Lccn
 2012000304
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code
 n
 System control number

 (OCoLC)775664076
 (OCoLC)ocn775664076
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