The matrix version of Hamburger's theorem

DOI10.1134/S0001434612030236zbMath1283.44002OpenAlexW2121961750MaRDI QIDQ2435971

Abdon Eddy Choque Rivero, Yuriy M. Dyukarev

Publication date: 21 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434612030236

zbMATH Keywords

Hamburger moment problemHermitian matrixStieltjes moment problemblock matrixmatrix function

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 (6)

On the resolvent matrix of the truncated Hausdorff matrix moment problem ⋮ Dyukarev-Stieltjes parameters of the truncated Hausdorff matrix moment problem ⋮ Relations between the orthogonal matrix polynomials on \([a,b\), Dyukarev-Stieltjes parameters, and Schur complements] ⋮ From the Potapov to the Krein-Nudel'man representation of the resolvent matrix of the truncated Hausdorff matrix moment problem ⋮ Moment perturbation of matrix polynomials ⋮ On Dyukarev's resolvent matrix for a truncated Stieltjes matrix moment problem under the view of orthogonal matrix polynomials

Cites Work

• Indeterminacy criteria for the Stieltjes matrix moment problem
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