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Spectral Theory of Canonical Systems

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Title: Spectral Theory of Canonical Systems
Description: Canonical systems occupy a central position in the spectral theory of second order differential operators. They may be used to realize arbitrary spectral data, and the classical operators such as Schrödinger, Jacobi, Dirac, and Sturm-Liouville equations can be written in this form. ‘Spectral Theory of Canonical Systems'offers a selfcontained and detailed introduction to this theory. Techniques to construct self-adjoint realizations in suitable Hilbert spaces, a modern treatment of de Branges spaces, and direct and inverse spectral problems are discussed. Contents Basic definitions Symmetric and self-adjoint relations Spectral representation Transfer matrices and de Branges spaces Inverse spectral theory Some applications The absolutely continuous spectrum
Authors: Christian Remling
Resource Type: eBook.
Subjects: Spectral theory (Mathematics)
Categories: MATHEMATICS / Differential Equations / Ordinary, MATHEMATICS / Mathematical Analysis, SCIENCE / Physics / Mathematical & Computational
Database: eBook Collection (EBSCOhost)
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DbLabel: eBook Collection (EBSCOhost)
An: 1893622
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PubTypeId: ebook
PreciseRelevancyScore: 1083.55249023438
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  Label: Title
  Group: Ti
  Data: Spectral Theory of Canonical Systems
– Name: Abstract
  Label: Description
  Group: Ab
  Data: Canonical systems occupy a central position in the spectral theory of second order differential operators. They may be used to realize arbitrary spectral data, and the classical operators such as Schrödinger, Jacobi, Dirac, and Sturm-Liouville equations can be written in this form. ‘Spectral Theory of Canonical Systems'offers a selfcontained and detailed introduction to this theory. Techniques to construct self-adjoint realizations in suitable Hilbert spaces, a modern treatment of de Branges spaces, and direct and inverse spectral problems are discussed. Contents Basic definitions Symmetric and self-adjoint relations Spectral representation Transfer matrices and de Branges spaces Inverse spectral theory Some applications The absolutely continuous spectrum
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  Data: <searchLink fieldCode="AR" term="%22Christian+Remling%22">Christian Remling</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Spectral+theory+%28Mathematics%29%22">Spectral theory (Mathematics)</searchLink>
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Differential+Equations+%2F+Ordinary%22">MATHEMATICS / Differential Equations / Ordinary</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Mathematical+Analysis%22">MATHEMATICS / Mathematical Analysis</searchLink><br /><searchLink fieldCode="ZK" term="%22SCIENCE+%2F+Physics+%2F+Mathematical+%26+Computational%22">SCIENCE / Physics / Mathematical & Computational</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.7242
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Spectral theory (Mathematics)
        Type: general
    Titles:
      – TitleFull: Spectral Theory of Canonical Systems
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Christian Remling
      – PersonEntity:
          Name:
            NameFull: Christian Remling
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      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2018
            – D: 08
              M: 10
              Type: profile
              Y: 2018
          Identifiers:
            – Type: isbn-print
              Value: 9783110562026
            – Type: isbn-electronic
              Value: 9783110562286
            – Type: isbn-electronic
              Value: 9783110563238
          Titles:
            – TitleFull: Spectral Theory of Canonical Systems
              Type: main
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