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On an Interpolation Problem for Generalized Schur Functions
Bolotnikov, Vladimir
Bolotnikov, Vladimir
Abstract
The nondegenerate Nevanlinna-Pick-Caratheodory-Fejer interpolation problem with finitely many interpolation conditions always has infinitely many solutions in a generalized Schur class S(kappa) for every kappa >= kappa(min) where the integer kappa(min) equals the number of negative eigenvalues of the Pick matrix associated to the problem and completely determined by interpolation data. A linear fractional description of all S(kappa min) solutions of the (nondegenerate) problem is well known. In this paper, we present a similar result for an arbitrary kappa >= kappa(min).
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2010-01-01
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Mathematics
DOI
10.2147/OTT.S6909
