Realization and interpolation for Schur--Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\)
type: Item
instance of: scholarly article
title: Realization and interpolation for Schur--Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\)
zbMATH Open document ID: 1061.47014
published in: Journal of Functional Analysis
publication date: 2004-10-01T00:00:00Z
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 47A48
Mathematics Subject Classification ID: 46E20
Mathematics Subject Classification ID: 32A70
Mathematics Subject Classification ID: 32E30
zbMATH DE Number: 2105323
zbMATH Keywords: Schur--Agler functions
zbMATH Keywords: polynomial-matrix defining function
zbMATH Keywords: unitary realizations
zbMATH Keywords: Nevanlinna--Pick problem
author: Joseph A. Ball
author: Vladimir Bolotnikov
MaRDI profile type: Publication
full work available at URL: j.jfa.2004.04.008
OpenAlex ID: W2134895325
cites work: Nevanlinna-Pick Interpolation on Sobolev Space
cites work: Q3360462
cites work: Nevanlinna-Pick interpolation on the bidisk
cites work: Complete Nevanlinna-Pick kernels
cites work: Two-sided Nevanlinna-Pick interpolation for a class of matrix-valued functions
cites work: Q4287394
cites work: Q4679502
cites work: A von Neumann type inequality for certain domains in $\mathbf C^n$
cites work: Theory of Reproducing Kernels
cites work: Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
cites work: On a bitangential interpolation problem for contractive-valued functions on the unit ball
cites work: A tangential interpolation problem on the distinguished boundary of the polydisk for the Schur--Agler class
cites work: A bitangential interpolation problem on the closed unit ball for multipliers of the Arveson space
cites work: Errata to: Two-sided tangential interpolation of real rational matrix functions
cites work: A commutant lifting theorem on the polydisc
cites work: Multidimensional linear feedback control systems and interpolation problems for multivariable holomorphic functions
cites work: Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables
cites work: Q2702458
cites work: Interpolation for multipliers on reproducing kernel Hilbert spaces
cites work: Q5603515
cites work: Q5617152
cites work: Interpolations by bounded analytic functions and the corona problem
cites work: Q4284563
cites work: Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras
cites work: A Generalization of Von Neumann's Inequality to the Complex Ball
cites work: Q3254057
cites work: I. Schur methods in operator theory and signal processing
cites work: The structure of inner multipliers on spaces with complete Nevanlinna Pick kernels
cites work: Q5658646
cites work: Q3743859
cites work: Q4660804
cites work: An Abstract Interpolation Problem and the Extension Theory of Hermitian Operators
cites work: Q3840243
cites work: Q4317790
cites work: Q3723149
cites work: Q4311489
cites work: Invariant subspaces and Nevanlinna-Pick kernels
cites work: Q5600360
cites work: Q3713006
cites work: Q4284370
cites work: Interpolation problems in several variables
cites work: Poisson transforms on some \(C^*\)-algebras generated by isometries
cites work: For which reproducing kernel Hilbert spaces is Pick's theorem true!
cites work: A corona theorem for countably many functions
cites work: Q5667036
cites work: Products of Nevanlinna-Pick kernels and operator colligations
cites work: A new estimate for the vector valued corona problem
DOI: 10.1016/J.JFA.2004.04.008
description: scientific article; zbMATH DE number 2105323