2017
Том 69
№ 9

All Issues

Rational matrix functions associated with the Nevanlinna-Pick problem in the class S [a, b] and orthogonal on a compact interval

Dyukarev Yu. M., Serikova I. Yu.

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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.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 6, pp 833-840.

Citation Example: Dyukarev Yu. M., Serikova I. Yu. Rational matrix functions associated with the Nevanlinna-Pick problem in the class S [a, b] and orthogonal on a compact interval // Ukr. Mat. Zh. - 2007. - 59, № 6. - pp. 764–770.

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