Document Type
Article
Department/Program
Mathematics
Journal Title
Operator Algebras, Operator Theory and Applications
Pub Date
2010
Volume
195
First Page
83
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).
Recommended Citation
Bolotnikov, Vladimir, On an Interpolation Problem for Generalized Schur Functions (2010). Operator Algebras, Operator Theory and Applications, 195, 83-101.
10.2147/OTT.S6909
DOI
10.2147/OTT.S6909
