Step-by-step solving of ordered interpolation problem for Stieltjes functions

DOI10.3103/S1066369X17060032zbMath1387.30051MaRDI QIDQ682309

I. Yu. Serikova, Yuriy M. Dyukarev

Publication date: 14 February 2018

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

zbMATH Keywords

interpolation problemsresolvent matricesStieltjes matrix functions

Mathematics Subject Classification ID

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

Related Items (1)

Resolvent matrix of the truncated Nevanlinna-Pick matrix interpolation problem via orthogonal rational functions in the Stieltjes class

Cites Work

• A generalized Stieltjes criterion for the complete indeterminacy of interpolation problems
• Indeterminacy criteria for the Stieltjes matrix moment problem
• On an operator approach to interpolation problems for Stieltjes functions
• Criterion for complete indeterminacy of limiting interpolation problem of Stieltjes type in terms of orthonormal matrix-functions
• ANALYTIC THEORY OF A CLASS OF INTERPOLATION PROBLEMS
• Indeterminacy of interpolation problems in the Stieltjes class
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