Canonical Transfer-function Realization for Schur-Agler-class Functions of the Polydisk
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Publication:2915189
DOI10.1007/978-3-0348-0221-5_4zbMath1273.47030OpenAlexW82728256MaRDI QIDQ2915189
Joseph A. Ball, Vladimir Bolotnikov
Publication date: 21 September 2012
Published in: A Panorama of Modern Operator Theory and Related Topics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-0348-0221-5_4
Linear operator methods in interpolation, moment and extension problems (47A57) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Realizations from input-output data (93B15) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)
Related Items
Canonical Transfer-function Realization for Schur-Agler-class Functions on Domains with Matrix Polynomial Defining Function in $$\mathbb{C}^n$$, de Branges–Rovnyak Spaces: Basics and Theory, de Branges–Rovnyak Spaces and Norm-Constrained Interpolation, Canonical Agler decompositions and transfer function realizations, State-Space Modeling of Two-Dimensional Vector-Exponential Trajectories, Scattering systems with several evolutions and formal reproducing kernel Hilbert spaces
Cites Work
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- Hardy algebras, \(W^*\)-correspondences and interpolation theory
- Two canonical passive state/signal shift realizations of passive discrete time behaviors
- Characteristic function of a pure commuting contractive tuple
- Canonical models for representations of Hardy algebras
- On CNC commuting contractive tuples
- Noncommutative convexity arises from linear matrix inequalities
- Factorization of matrix and operator functions. The state space method
- Transfer-function realization for multipliers of the Arveson space
- Classes of tuples of commuting contractions satisfying the multivariable von Neumann inequality
- A Kreĭn space coordinate free version of the de Branges complementary space
- Constructive methods of Wiener-Hopf factorization
- Minimal factorization of matrix and operator functions
- Interpolation of rational matrix functions
- Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables
- Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
- Metric constrained interpolation, commutant lifting and systems
- Backward shift operator and finite dimensional de Branges Rovnyak spaces in the ball.
- Complete Nevanlinna-Pick kernels
- Gleason's problem and homogeneous interpolation in Hardy and Dirichlet-type spaces of the ball
- Realization and interpolation for Schur--Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\)
- Multi-analytic operators on Fock spaces
- Scattering systems with several evolutions and formal reproducing kernel Hilbert spaces
- A state space approach to canonical factorization with applications
- Scattering systems with several evolutions and multidimensional input/state/output systems
- A realization theorem for rational functions of several complex variables
- Dissipative dynamical systems. I: General theory
- Dissipative dynamical systems. II: Linear systems with quadratic supply rates
- Zero-pole interpolation for meromorphic matrix functions on an algebraic curve and transfer functions of 2D systems
- Spherical contractions and interpolation problems on the unit ball
- Canonical Transfer-function Realization for Schur-Agler-class Functions on Domains with Matrix Polynomial Defining Function in $$\mathbb{C}^n$$
- On a class of linear operators in Hilbert space
- Structured Noncommutative Multidimensional Linear Systems
- Multivariable Generalizations of the Schur Class: Positive Kernel Characterization and Transfer Function Realization
- Von Neumann inequality for $(B(\mathscr{H})^n)_1$.
- Nevanlinna-Pick interpolation on the bidisk
- Zero-pole interpolation for matrix meromorphic functions on a compact Riemann surface and a matrix Fay trisecant identity
- Concrete Interpolation of Meromorphic Matrix Functions on Riemann Surfaces
- 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
- Mathematical Description of Linear Dynamical Systems
- Lax-Phillips scattering and conservative linear systems: a Cuntz-algebra multidimensional setting
- Theory of Reproducing Kernels
- Factorization and invariant subspaces
