A tangential interpolation problem on the distinguished boundary of the polydisk for the Schur--Agler class
From MaRDI portal
Publication:1856789
DOI10.1016/S0022-247X(02)00226-3zbMath1015.47004MaRDI QIDQ1856789
Vladimir Bolotnikov, Joseph A. Ball
Publication date: 11 February 2003
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Multidimensional problems (41A63) Functional analysis techniques applied to functions of several complex variables (32A70) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)
Related Items (5)
Realization and interpolation for Schur--Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\) ⋮ Operator monotone functions and Löwner functions of several variables ⋮ Fundamental Agler decompositions ⋮ Free Pick functions: representations, asymptotic behavior and matrix monotonicity in several noncommuting variables ⋮ Schur-Agler class rational inner functions on the tridisk
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions
- Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions: Parametrization of the set of all solutions
- Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables
- On degenerate interpolation, entropy and extremal problems for matrix Schur functions
- Errata to: Two-sided tangential interpolation of real rational matrix functions
- Nevanlinna-Pick interpolation with boundary data
- A bitangential interpolation problem on the closed unit ball for multipliers of the Arveson space
- Hamburger moment problem: Parseval equality and \(A\)-singularity
- The Carathéodory-Julia theorem for matrix-functions
- A multiple boundary interpolation problem for contracting matrix-valued functions in the unit circle
- Lossless inverse scattering, digital filters, and estimation theory
- Scattering Matrices in the Theory of Unitary Extension of Isometric Operators
- An Abstract Interpolation Problem and the Extension Theory of Hermitian Operators
- Nevanlinna-Pick interpolation on the bidisk
- A commutant lifting theorem on the polydisc
- Interpolation of nevanlinna-pick type on the boundary of the bidisc
- Linear Matrix Inequalities in System and Control Theory
- Some adaptive control problems which convert to a "classical" problem in several complex variables
- Advances in Linear Matrix Inequality Methods in Control
- On boundary interpolation for matrix valued Schur functions
This page was built for publication: A tangential interpolation problem on the distinguished boundary of the polydisk for the Schur--Agler class
