One-sided tangential interpolation for operator-valued Hardy functions on polydisks
type: Item
instance of: scholarly article
title: One-sided tangential interpolation for operator-valued Hardy functions on polydisks
zbMATH Open document ID: 0946.47009
DOI: 10.1007/BF01193902
author: Daniel Alpay
author: Leiba Rodman
author: Vladimir Bolotnikov
published in: Integral Equations and Operator Theory
publication date: 2000-10-17T00:00:00Z
review text: The authors obtained necessary and sufficient conditions for solvability of the one-sided tangential interpolation with an \(H_2\) constaint. The interpolants are functions of several variables defined on a polydisc taking its values in the Hilbert space of the Hilbert-Schmidt operators. The main idea to approach this problem of multivariable interpolation is to reduce it to a one-variable case. Explicit formulas for the set of all solutions including the minimal \(H_2\) norm solution are given.
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 47A56
Mathematics Subject Classification ID: 32A35
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 1384432
zbMATH Keywords: one-sided tangential interpolation
zbMATH Keywords: \(H_2\) norm constraint
zbMATH Keywords: solvability
zbMATH Keywords: Hilbert-Schmidt operators
zbMATH Keywords: multivariable interpolation
reviewed by: Andrzej Sołtysiak
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1384432