Solvability condition for a boundary value interpolation problem of Loewner type
type: Item
instance of: scholarly article
title: Solvability condition for a boundary value interpolation problem of Loewner type
zbMATH Open document ID: 0908.30037
DOI: 10.1007/BF02819451
author: Dušan Georgijević
published in: Journal d'Analyse Mathématique
publication date: 1998-11-01T00:00:00Z
review text: Let \(E\) be a finite subset of the real numbers. The interpolation problem considered here is to find a holomorphic function on the upper half plane with a nonnegative imaginary part and with prescribed radial residue and first several radial pseudo-derivatives at each point of \(E\). A necessary and sufficient condition is found for the solvability of this problem in terms of the Pick matrix. The author also obtains a parametrization of the set of solutions in the spirit of the classical Nevanlinna parametrization. This result extends a previous one by the author [Interpolation problems of Loewner type with finitely many nodes (to appear)].
reviewed by: Khristo N. Boyadzhiev
Mathematics Subject Classification ID: 30E05
zbMATH DE Number: 1187474
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1187474