Two-sided interpolation for matrix functions with entries in the Hardy space

DOI10.1016/0024-3795(94)00074-NzbMath0828.15025MaRDI QIDQ1894480

Daniel Alpay, Vladimir Bolotnikov

Publication date: 24 July 1995

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

zbMATH Keywords

Hardy spaceindefinite metriccomplex matricesmatrix functionsdouble coset formulaLagrange- Sylvester interpolation problemstwo sided residue interpolation problem

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Functional calculus for linear operators (47A60) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Matrices over function rings in one or more variables (15A54)

Related Items

Interpolation problems for certain classes of slice hyperholomorphic functions, On tangential \(H_ 2\) interpolation with second order norm constraints, Reflection positivity via Krein space analysis, Interpolation with multiple norm constraints, Divided Differences and Two-sided Polynomial Interpolation Over Quaternions, Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem, On two-sided interpolation for upper triangular Hilbert-Schmidt operators, Tangential interpolation with symmetries and two-point interpolation problem for matrix-valued \(H_2\)-functions, One-sided tangential interpolation for operator-valued Hardy functions on polydisks, On bitangential interpolation in the time-varying setting for Hilbert-Schmidt operators: The continuous time case, Two-sided residue interpolation in matrix H\(_{2}\) spaces with symmetries: conformal conjugate involutions

Cites Work

• Simultaneous residue interpolation problems for rational matrix functions
• Minimal factorization of matrix and operator functions
• Interpolation of rational matrix functions
• Topics in interpolation theory of rational matrix-valued functions
• The Carathéodory-Féjer interpolation problem in Hardy classes
• On the Tangential Interpolation Problem for H 2 Functions
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