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

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
Author
Subject
Language
eng
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"--
Member of
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
Instantiates
Publication
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 Dirac-Krein 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
Publication
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 Dirac-Krein 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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