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J-Contractive Matrix Valued Functions and Related Topics

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Title: J-Contractive Matrix Valued Functions and Related Topics
Description: J-contractive and J-inner matrix valued functions have a wide range of applications in mathematical analysis, mathematical physics, control engineering and theory of systems and networks. This book provides a comprehensive introduction to the theory of these functions with respect to the open upper half-plane, and a number of applications are also discussed. The first chapters develop the requisite background material from the geometry of finite dimensional spaces with an indefinite inner product, and the theory of the Nevanlinna class of matrix valued functions with bounded characteristic in the open upper half-plane (with attention to special subclasses). Subsequent chapters develop this theory to include associated pairs of inner matrix valued functions and reproducing kernel Hilbert spaces. Special attention is paid to the subclasses of regular and strongly regular J-inner matrix valued functions, which play an essential role in the study of the extension and interpolation problems.
Authors: Damir Z. Arov, Harry Dym
Resource Type: eBook.
Subjects: Functions of complex variables, Matrices
Categories: MATHEMATICS / Mathematical Analysis, MATHEMATICS / Calculus
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 616977
RelevancyScore: 1018
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1018.08020019531
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  Label: Title
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  Data: J-Contractive Matrix Valued Functions and Related Topics
– Name: Abstract
  Label: Description
  Group: Ab
  Data: J-contractive and J-inner matrix valued functions have a wide range of applications in mathematical analysis, mathematical physics, control engineering and theory of systems and networks. This book provides a comprehensive introduction to the theory of these functions with respect to the open upper half-plane, and a number of applications are also discussed. The first chapters develop the requisite background material from the geometry of finite dimensional spaces with an indefinite inner product, and the theory of the Nevanlinna class of matrix valued functions with bounded characteristic in the open upper half-plane (with attention to special subclasses). Subsequent chapters develop this theory to include associated pairs of inner matrix valued functions and reproducing kernel Hilbert spaces. Special attention is paid to the subclasses of regular and strongly regular J-inner matrix valued functions, which play an essential role in the study of the extension and interpolation problems.
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  Data: <searchLink fieldCode="AR" term="%22Damir+Z%2E+Arov%22">Damir Z. Arov</searchLink><br /><searchLink fieldCode="AR" term="%22Harry+Dym%22">Harry Dym</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Functions+of+complex+variables%22">Functions of complex variables</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices%22">Matrices</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.7
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Functions of complex variables
        Type: general
      – SubjectFull: Matrices
        Type: general
    Titles:
      – TitleFull: J-Contractive Matrix Valued Functions and Related Topics
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Damir Z. Arov
      – PersonEntity:
          Name:
            NameFull: Harry Dym
      – PersonEntity:
          Name:
            NameFull: Damir Z. Arov
      – PersonEntity:
          Name:
            NameFull: Harry Dym
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2008
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780521883009
            – Type: isbn-electronic
              Value: 9781107398948
            – Type: isbn-electronic
              Value: 9781461941668
          Numbering:
            – Type: volume
              Value: 00116
          Titles:
            – TitleFull: J-Contractive Matrix Valued Functions and Related Topics
              Type: main
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