Description

Book Synopsis

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

Spectral Theory of Canonical Systems

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    A Hardback by Christian Remling

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      Publisher: De Gruyter
      Publication Date: Publication Date: 21/08/2018
      ISBN13: 9783110562026, 978-3110562026
      ISBN10:

      Description

      Book Synopsis

      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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