On a Multi-point Interpolation Problem for Generalized Schur Functions
نویسنده
چکیده
The nondegenerate Nevanlinna-Pick-Carathéodory-Fejer interpolation problem with finitely many interpolation conditions always has infinitely many solutions in a generalized Schur class Sκ for every κ ≥ κmin where the integer κmin 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 Sκmin solutions of the (nondegenerate) problem is well known. In this paper, we present a similar result for an arbitrary κ ≥ κmin. Dedicated to Professor Joseph Ball on occasion of his 60-th birthday
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