On Hilbert modules of rational matrix-valued functions and related inverse problems
type: Item
instance of: scholarly article
title: On Hilbert modules of rational matrix-valued functions and related inverse problems
zbMATH Open document ID: 1108.47018
author: B. Fritzsche
author: B. Kirstein
author: Andreas Lasarow
published in: Journal of Computational and Applied Mathematics
publication date: 2005-06-01T00:00:00Z
review text: Continuing their work [Linear Algebra Appl.\ 372, 1--31 (2003; Zbl 1046.47016)] on a moment problem for rational matrix-valued functions, the authors characterize the case in which the problem has a unique solution. Several related results are also proved, notably some results on inverse problems for rational matrix-valued functions.
reviewed by: Alan L. Andrew
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 47A56
Mathematics Subject Classification ID: 30E05
Mathematics Subject Classification ID: 47B32
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 44A60
Mathematics Subject Classification ID: 46E22
zbMATH DE Number: 2173196
zbMATH Keywords: nonnegative Hermitian Borel measures on the unit circle
zbMATH Keywords: rational moment problem
zbMATH Keywords: reproducing kernels
zbMATH Keywords: orthogonal rational matrix-valued functions
MaRDI profile type: Publication
full work available at URL: j.cam.2004.09.042
OpenAlex ID: W1981335201
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DOI: 10.1016/J.CAM.2004.09.042
description: scientific article; zbMATH DE number 2173196