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Weyl functions of generalized dirac systems: Integral representation, the inverse problem and discrete interpolation

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Abstract

We study self-adjoint Dirac systems and subclasses of canonical systems (which generalize Dirac systems) and obtain explicit and global solutions for direct and inverse problems. We also derive a local Borg-Marchenko-type theorem, integral representation of the Weyl function, and results on the interpolation of Weyl functions.

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Authors and Affiliations

  1. Facultät für Mathematik und Informatik Mathematisches Institut, Universität Leipzig, Johannisgasse 26, D-04103, Leipzig, Germany

    B. Fritzsche & B. Kirstein

  2. Facultät für Mathematik, Universität Wien, Nordbergstrasse 15, A-1090, Wien, Austria

    A. L. Sakhnovich

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  1. B. Fritzsche
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  2. B. Kirstein
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  3. A. L. Sakhnovich
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Correspondence to B. Fritzsche.

Additional information

A. L. Sakhnovich was supported by the Austrian Science Fund (FWF) under Grant no. Y330.

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Fritzsche, B., Kirstein, B. & Sakhnovich, A.L. Weyl functions of generalized dirac systems: Integral representation, the inverse problem and discrete interpolation. JAMA 116, 17–51 (2012). https://doi.org/10.1007/s11854-012-0002-x

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  • DOI: https://doi.org/10.1007/s11854-012-0002-x

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