Canonical Systems on the Line with Rational Spectral Densities: Explicit Formulas

  • I. Gohberg
  • M. A. Kaashoek
  • A. L. Sakhnovich
Part of the Operator Theory: Advances and Applications book series (OT, volume 117)


Explicit formulas for the direct and inverse spectral problems for a canonical system on the full line with rational spectral density are obtained via a reduction to the half line case.

AMS Classification Primary

34L05 34A55 34A05 34B20 47N20 


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Copyright information

© Springer Basel AG 2000

Authors and Affiliations

  • I. Gohberg
    • 1
  • M. A. Kaashoek
    • 2
  • A. L. Sakhnovich
    • 3
  1. 1.School of Mathematical Sciences, Raymond and Beverly Sackler, Faculty of Exact SciencesTel Aviv UniversityRamat AvivIsrael
  2. 2.Faculteit der Exacte WetenschappenVrije UniversiteitAmsterdamThe Netherlands
  3. 3.Branch of Hydroacoustics, Marine Institute of HydrophysicsNASU Preobradzenskaya 3OdessaUkraine

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