scientific article; zbMATH DE number 5794286

zbMath1210.47041MaRDI QIDQ4932095

Joseph A. Ball, Vladimir Bolotnikov

Publication date: 1 October 2010

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

reproducing kernel Hilbert spaceSchur multiplieroperator-valued functionscanonical functional model

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operator methods in interpolation, moment and extension problems (47A57) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items

Canonical Transfer-function Realization for Schur-Agler-class Functions on Domains with Matrix Polynomial Defining Function in $$\mathbb{C}^n$$ ⋮ Extremal multipliers of the Drury–Arveson space ⋮ de Branges–Rovnyak Spaces: Basics and Theory ⋮ Canonical Transfer-function Realization for Schur-Agler-class Functions of the Polydisk ⋮ Operator monotone functions and Löwner functions of several variables ⋮ Multidimensional circuit synthesis and multivariable dilation theory ⋮ Clark theory in the Drury-Arveson space ⋮ Interpolation problems for holomorphic functions ⋮ Non-commutative Clark measures for the free and abelian Toeplitz algebras ⋮ Rational inner functions in the Schur-Agler class of the polydisk ⋮ Canonical Agler decompositions and transfer function realizations ⋮ Aleksandrov-Clark theory for Drury-Arveson space ⋮ Schur-Agler class rational inner functions on the tridisk ⋮ On quasi-Herglotz functions in one variable ⋮ Schur-Agler and Herglotz-Agler classes of functions: positive-kernel decompositions and transfer-function realizations ⋮ De Branges-Rovnyak realizations of operator-valued Schur functions on the complex right half-plane