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A generalized tangent interpolation problem

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Abstract

A new tangent interpolation problem in the Schur class is studied. For this problem, the necessary and sufficient conditions of its solvability are obtained, and the description of solutions is given. The results are applied to the classification and the description of the set of exceptional parameters of an indefinite tangent interpolation problem in generalized Schur classes.

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Authors and Affiliations

  1. Donetsk National University, 24, Universitetskaya Str., Donetsk, 83001, Ukraine

    Evgen V. Neiman

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  1. Evgen V. Neiman
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Correspondence to Evgen V. Neiman.

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Translated from Russian by V. V. Kukhtin

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 11, No. 4, pp. 543–573, October–November, 2014.

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Neiman, E.V. A generalized tangent interpolation problem. J Math Sci 207, 74–97 (2015). https://doi.org/10.1007/s10958-015-2356-y

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