Indeterminacy of interpolation problems in the Stieltjes class

DOI10.1070/SM2005v196n03ABEH000884zbMath1098.47015OpenAlexW2070121839MaRDI QIDQ5693823

Yuriy M. Dyukarev

Publication date: 28 September 2005

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2005v196n03abeh000884

zbMATH Keywords

Nevanlinna functionStieltjes moment problemStieltjes functionNevanlinna-Pick problemgeneralized interpolation problem

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 (11)

Explicit relation between two resolvent matrices of the truncated Hausdorff matrix moment problem ⋮ The Jacobi matrices approach to Nevanlinna-Pick problems ⋮ Relations between the orthogonal matrix polynomials on \([a,b\), Dyukarev-Stieltjes parameters, and Schur complements] ⋮ A generalized Stieltjes criterion for the complete indeterminacy of interpolation problems ⋮ Complete indeterminacy of the Nevanlinna-Pick problem in the class \(S[a,b\)] ⋮ The zeros of determinants of matrix-valued polynomials that are orthonormal on a semi-infinite or finite interval ⋮ On Conditions of Complete Indeterminacy for the Matricial Hamburger Moment Problem ⋮ Step-by-step solving of ordered interpolation problem for Stieltjes functions ⋮ Resolvent matrix of the truncated Nevanlinna-Pick matrix interpolation problem via orthogonal rational functions in the Stieltjes class ⋮ Criterion for complete indeterminacy of limiting interpolation problem of Stieltjes type in terms of orthonormal matrix-functions ⋮ Criterion for the complete indeterminacy of the Nevanlinna-Pick matrix problem

This page was built for publication: Indeterminacy of interpolation problems in the Stieltjes class