Loewner interpolation in matrix Hardy classes
type: Item
instance of: scholarly article
title: Loewner interpolation in matrix Hardy classes
zbMATH Open document ID: 0819.47014
DOI: 10.4171/ZAA/672
author: Daniel Alpay
author: J. Leblond
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1995-08-27T00:00:00Z
review text: Summary: We study a Loewner type interpolation problem in the framework of matrix- valued \({\mathbf H}_ 2\) functions. We establish a necessary and sufficient condition for a matrix-valued function given on an arc or circle to be the trace of such an \({\mathbf H}_ 2\) function subject to some constraint.
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 46E22
Mathematics Subject Classification ID: 30E05
zbMATH DE Number: 761120
zbMATH Keywords: Loewner interpolation
zbMATH Keywords: reproducing kernel spaces
zbMATH Keywords: Hardy spaces
zbMATH Keywords: Loewner type interpolation problem
zbMATH Keywords: matrix-valued \({\mathbf H}_ 2\) functions
MaRDI profile type: Publication
cites work: Q3136468
cites work: Q4029556
cites work: Theory of Reproducing Kernels
cites work: Hardy approximation to \(L^ \infty\) functions on subsets of the circle
cites work: Über monotone Matrixfunktionen
cites work: Restrictions of Analytic Functions. I
cites work: Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
full work available at URL: https://doi.org/10.4171/zaa/672
OpenAlex ID: W1999254121
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description: scientific article; zbMATH DE number 761120