On distinguished solutions of truncated matricial Hamburger moment problems
type: Item
instance of: scholarly article
title: On distinguished solutions of truncated matricial Hamburger moment problems
zbMATH Open document ID: 1186.44006
author: Yury M. Dyukarev
author: B. Fritzsche
author: B. Kirstein
author: Conrad Mädler
author: Helge C. Thiele
published in: Complex Analysis and Operator Theory
publication date: 2010-01-18T00:00:00Z
review text: The main purpose of this article is the study of two slightly different versions of the truncated matricial Hamburger moment problem. The authors investigate some distinguished solutions of these problems. These solutions are nonnegative Hermitian matricial Borel measures on the real axis, concentrated on a finite number of points, which can be explicitly described in terms of the given data. The authors' approach is based on the use of particular matrix polynomials, which are generalizations of the monic orthogonal matrix polynomials associated with a positive Hermitian block Hankel matrix.
Mathematics Subject Classification ID: 44A60
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 30E05
zbMATH DE Number: 5659747
zbMATH Keywords: nonnegative Hermitian measures
zbMATH Keywords: molecular measures
zbMATH Keywords: truncated matricial Hamburger moment problem
zbMATH Keywords: nonnegative Hermitian block Hankel matrices
zbMATH Keywords: matrix version of Kronecker's theorem
zbMATH Keywords: matrix polynomials
reviewed by: Florian-Horia Vasilescu
MaRDI profile type: Publication
full work available at URL: s11785-008-0061-2
OpenAlex ID: W2049448492
DOI: 10.1007/S11785-008-0061-2
description: scientific article; zbMATH DE number 5659747