On distinguished solutions of truncated matricial Hamburger moment problems

DOI10.1007/s11785-008-0061-2zbMath1186.44006OpenAlexW2049448492MaRDI QIDQ844037

Bernd Fritzsche, Yuriy M. Dyukarev, Bernd Kirstein, Conrad Mädler, Helge C. Thiele

Publication date: 18 January 2010

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-008-0061-2

zbMATH Keywords

matrix polynomialsnonnegative Hermitian block Hankel matricesnonnegative Hermitian measurestruncated matricial Hamburger moment problemmatrix version of Kronecker's theoremmolecular measures

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60)

Related Items (22)

Parametrization of the Solution Set of a Matricial Truncated Hamburger Moment Problem by a Schur Type Algorithm ⋮ On the truncated matricial Stieltjes moment problem \(\mathsf{M} [[\alpha, \infty);(s_j)_{j = 0}^m, \leq\)] ⋮ On a solution of the multidimensional truncated matrix-valued moment problem ⋮ The Weyl matrix balls corresponding to the matricial truncated Hamburger moment problem ⋮ Schur analysis of matricial Hausdorff moment sequences ⋮ On truncated matricial Stieltjes type moment problems ⋮ Transformations of matricial \({\alpha}\)-Stieltjes non-negative definite sequences ⋮ On Hankel nonnegative definite sequences, the canonical Hankel parametrization, and orthogonal matrix polynomials ⋮ On maximum mass measures in truncated matricial Hamburger moment problems and related interpolation problems ⋮ On resolvent matrix, Dyukarev-Stieltjes parameters and orthogonal matrix polynomials via \([0, \infty)\)-Stieltjes transformed sequences ⋮ A Potapov-Type Approach to a Truncated Matricial Stieltjes-Type Power Moment Problem ⋮ On Hankel positive definite perturbations of Hankel positive definite sequences and interrelations to orthogonal matrix polynomials ⋮ On the Structure of Hausdorff Moment Sequences of Complex Matrices ⋮ A Closer Look at the Solution Set of the Truncated Matricial Moment Problem "Equation missing" ⋮ On a simultaneous approach to the even and odd truncated matricial Stieltjes moment problem II: an \(\alpha\)-Schur-Stieltjes-type algorithm for sequences of holomorphic matrix-valued functions ⋮ On a simultaneous approach to the even and odd truncated matricial Stieltjes moment problem I: an \(\alpha\)-Schur-Stieltjes-type algorithm for sequences of complex matrices ⋮ Truncated Hamburger moment problem for an operator measure with compact support ⋮ A Schur-Nevanlinna type algorithm for the truncated matricial Hausdorff moment problem ⋮ Matricial canonical moments and parametrization of matricial Hausdorff moment sequences ⋮ On the relation between Hurwitz stability of matrix polynomials and matrix-valued Stieltjes functions ⋮ Weyl sets in a truncated matricial Stieltjes moment problem ⋮ On Dyukarev's resolvent matrix for a truncated Stieltjes matrix moment problem under the view of orthogonal matrix polynomials

This page was built for publication: On distinguished solutions of truncated matricial Hamburger moment problems