Canonical Transfer-function Realization for Schur-Agler-class Functions on Domains with Matrix Polynomial Defining Function in $$\mathbb{C}^n$$
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Publication:2902845
DOI10.1007/978-3-0348-0346-5_3zbMath1252.47007OpenAlexW974756071MaRDI QIDQ2902845
Joseph A. Ball, Vladimir Bolotnikov
Publication date: 22 August 2012
Published in: Recent Progress in Operator Theory and Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-0348-0346-5_3
Linear operator methods in interpolation, moment and extension problems (47A57) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)
Related Items
de Branges–Rovnyak Spaces: Basics and Theory, de Branges–Rovnyak Spaces and Norm-Constrained Interpolation, Canonical Transfer-function Realization for Schur-Agler-class Functions of the Polydisk, Reproducing kernel Hilbert spaces of polyanalytic functions of infinite order
Cites Work
- On a quotient norm and the Sz.-Nagy-Foias lifting theorem
- Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables
- Realization and interpolation for Schur--Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\)
- Canonical Transfer-function Realization for Schur-Agler-class Functions of the Polydisk
- A von Neumann type inequality for certain domains in $\mathbf C^n$
- Canonical transfer-function realization for Schur multipliers on the Drury-Arveson space and models for commuting row contractions
- Theory of Reproducing Kernels
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