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On spectrally associated Schur functions, Arov-inner functions and a Nehari-type completion problem for Schur functions

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Abstract

This paper studies a special Nehari-type completion problem for matrix-valued Schur functions. Several necessary and sufficient conditions for solvability of the problem are given. If a solution exists, then it is unique and it can be expressed explicitly by the original data.

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Authors and Affiliations

  1. Department of Mathematics, State University Kharkov, 310077, Kharkov, Ukraine

    V. K. Dubovoj

  2. Fachbereich Mathematik/Informatik, Universität Leipzig, Augustusplatz 10, O-7010, Leipzig, Bundesrepublik Deutschland

    B. Fritzsche & B. Kirstein

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  1. V. K. Dubovoj
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  2. B. Fritzsche
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  3. B. Kirstein
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Dubovoj, V.K., Fritzsche, B. & Kirstein, B. On spectrally associated Schur functions, Arov-inner functions and a Nehari-type completion problem for Schur functions. Integr equ oper theory 17, 247–276 (1993). https://doi.org/10.1007/BF01200219

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  • DOI: https://doi.org/10.1007/BF01200219

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