The two-sided residue interpolation in the Stieltjes class of matrix functions

DOI10.1016/0024-3795(94)90458-8zbMath0854.15009OpenAlexW1993390601MaRDI QIDQ1336427

Joseph A. Ball, Daniel Alpay, Israel Gohberg, Leiba Rodman

Publication date: 13 January 1997

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90458-8

zbMATH Keywords

reductionmatrix functionsStieltjes classrational matrix functionstwo-sided directional interpolation problem

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Matrices over function rings in one or more variables (15A54)

Related Items

On the Carathéodory-Fejér Interpolation Problem for Stieltjes Functions, Degenerate Stieltjes moment problem and associated \(J\)-inner polynomials, Bitangential interpolation problems for symmetric rational matrix functions, On the Nevanlinna-Pick interpolation problem for generalized Stieltjes functions, On an operator approach to interpolation problems for Stieltjes functions, Editorial Introduction, On a general moment problem on the half axis, Extension of the Bessmertnyĭ realization theorem for rational functions of several complex variables, A unified treatment for the matrix Stieltjes moment problem in both nondegenerate and degenerate cases, Boundary behavior of analytic functions of two variables via generalized models, Composition of rational functions: state-space realization and applications, Interpolation theory in sectorial Stieltjes classes and explicit system solutions, \(J\)-unitary preserving automorphisms of rational matrix functions: State space theory, interpolation, and factorization

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analytic matrix functions with prescribed local data
• State space theory of automorphisms of rational matrix functions
• \(J\)-unitary preserving automorphisms of rational matrix functions: State space theory, interpolation, and factorization
• Errata to: Two-sided tangential interpolation of real rational matrix functions
• Multiplicative and additive classes of Stieltjes analytic matrix-valued functions, and interpolation problems associated with them. I
• Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. II
• Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. II