Tangential interpolation with symmetries and two-point interpolation problem for matrix-valued \(H_2\)-functions

DOI10.1007/BF01193505zbMath0918.47016OpenAlexW2038168519MaRDI QIDQ1270023

Leiba Rodman, Daniel Alpay, Vladimir Bolotnikov

Publication date: 21 October 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193505

zbMATH Keywords

involutionsmatrix-valued Hardy functionstwo-sided tangential interpolation 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) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (4)

A new realization of rational functions, with applications to linear combination interpolation, the Cuntz relations and kernel decompositions ⋮ Tangential interpolation problems for a class of automorphic matrix-functions ⋮ One-sided tangential interpolation for operator-valued Hardy functions on polydisks ⋮ Two-sided residue interpolation in matrix H\(_{2}\) spaces with symmetries: conformal conjugate involutions

Cites Work

• Simultaneous residue interpolation problems for rational matrix functions
• On the solution of the minimal rational interpolation problem
• The commutant lifting approach to interpolation problems
• Interpolation of rational matrix functions
• Matrix and operator valued functions. The Vladimir Petrovich Potapov memorial volume
• The Carathéodory-Féjer interpolation problem in Hardy classes
• Two-sided interpolation for matrix functions with entries in the Hardy space
• One two-sided residue interpolation for matrix-valued \(H_ 2\)-functions with symmetries
• Conjugation, interpolation and model-matching in H∞
• A behavioral approach to linear exact modeling
• On the Tangential Interpolation Problem for H 2 Functions
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