Rational matrix functions associated with the Nevanlinna-Pick problem in the class <Emphasis Type="Italic">S</Emphasis>[<Emphasis Type="Italic">a,b</Emphasis>] and orthogonal on a compact interval |
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Authors: | Yu M Dyukarev I Yu Serikova |
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Institution: | (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 Sa, 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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