Tangential interpolation problems for a class of automorphic matrix-functions

DOI10.1016/J.LAA.2004.10.007zbMath1067.47021OpenAlexW2062814685MaRDI QIDQ1774967

A. A. Nudel'man, Miron B. Bekker

Publication date: 4 May 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.10.007

zbMATH Keywords

Nevanlinna classlinear fractional transformationinterpolation problemautomorphic functionNevanlinna--Pick problem\((A,B,C)\)-problem

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operator methods in interpolation, moment and extension problems (47A57)

Cites Work

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• On periodic matrix-valued Weyl--Titchmarsh functions
• Interpolation of rational matrix functions
• Tangential interpolation with symmetries and two-point interpolation problem for matrix-valued \(H_2\)-functions
• Dissipative periodic systems and symmetric interpolation in Schur classes
• On a new positive extension problem for block Toeplitz matrices
• Metric constrained interpolation, commutant lifting and systems
• Two-sided residue interpolation in matrix H\(_{2}\) spaces with symmetries: conformal conjugate involutions
• On the spectral functions of the string

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