Rational matrix functions associated with the Nevanlinna-Pick problem in the class S[a,b] and orthogonal on a compact interval |
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Authors: | Yu. M. Dyukarev I. Yu. Serikova |
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Affiliation: | (1) Kharkov National University, Kharkov |
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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. __________ Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 6, pp. 764–770, June, 2007. |
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