Abstract
We consider the interpolation Nevanlinna-Pick problem with infinitely many interpolation nodes in the class S[a, b] and rational matrix functions associated with this problem and orthogonal on the segment [a, b]. We obtain a criterion of complete indeterminacy of the Nevanlinna-Pick problem in terms of orthogonal rational matrix functions.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 6, pp. 764–770, June, 2007.
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Dyukarev, Y.M., Serikova, I.Y. Rational matrix functions associated with the Nevanlinna-Pick problem in the class S[a, b] and orthogonal on a compact interval. Ukr Math J 59, 833–840 (2007). https://doi.org/10.1007/s11253-007-0053-9
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DOI: https://doi.org/10.1007/s11253-007-0053-9