On a multi-point interpolation problem for generalized Schur functions

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dc.creatorBolotnikov, Vladimir
dc.date2008-12-24
dc.date.accessioned2026-07-07T12:21:58Z
dc.date.available2026-07-07T12:21:58Z
dc.descriptionThe nondegenerate Nevanlinna-Pick-Carathéodory-Fejer interpolation problem with finitely many interpolation conditions always has infinitely many solutions in a generalized Schur class $\cS_κ$ for every $κ\ge κ_{\rm min}$ where the integer $κ_{\rm min}$ 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 $\cS_{κ_{\rm min}}$ solutions of the (nondegenerate) problem is well known. In this paper, we present a similar result for an arbitrary $κ\ge κ_{\rm min}$.
dc.identifierhttps://arxiv.org/abs/0812.4564
dc.identifierhttp://arxiv.org/abs/0812.4564
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213499
dc.subjectComplex Variables
dc.subjectClassical Analysis and ODEs
dc.subject30E05
dc.titleOn a multi-point interpolation problem for generalized Schur functions
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