Nevanlinna-Pick interpolation on the bidisk
From MaRDI portal
Publication:4238494
DOI10.1515/crll.1999.506.191zbMath0919.32003OpenAlexW2039029950MaRDI QIDQ4238494
Publication date: 1999
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/crll.1999.506.191
bidiskspace of bounded analytic functionsinterpolating functionsmatrix-valued Nevanlinna-Pick problemToeplitz-corona theorem
Related Items (47)
A von Neumann type inequality for certain domains in $\mathbf C^n$ ⋮ Realization and interpolation for Schur--Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\) ⋮ Three-point Nevanlinna–Pick problem in the polydisc ⋮ INTERPOLATING SEQUENCES ON THE BIDISK ⋮ The Use of Kernel Functions in Solving the Pick Interpolation Problem ⋮ Canonical Transfer-function Realization for Schur-Agler-class Functions of the Polydisk ⋮ The failure of rational dilation on a triply connected domain ⋮ Computing the Pluricomplex Green Function with Two Poles ⋮ Test functions, Schur-Agler classes and transfer-function realizations: the matrix-valued setting ⋮ The three-point Pick–Nevanlinna interpolation problem on the polydisc ⋮ Duality, tangential interpolation, and Töplitz corona problems ⋮ Determining sets for holomorphic functions on the symmetrized bidisk ⋮ Nevanlinna-Pick interpolation on distinguished varieties in the bidisk ⋮ Multidimensional circuit synthesis and multivariable dilation theory ⋮ Schur functions and inner functions on the bidisc ⋮ Agler-commutant lifting on an annulus ⋮ Nevanlinna-Pick interpolation problem in the ball ⋮ On the representation of holomorphic functions on polyhedra ⋮ Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc ⋮ Interpolation problems for holomorphic functions ⋮ Hilbert function spaces and the Nevanlinna-Pick problem on the polydisc. II. ⋮ A Carathéodory theorem for the bidisk via Hilbert space methods ⋮ \(\mathcal{H}_\infty\) control of linear multidimensional discrete systems ⋮ Hankel vector moment sequences and the non-tangential regularity at infinity of two variable Pick functions ⋮ The corona problem for kernel multiplier algebras ⋮ Boundary Nevanlinna--Pick Interpolation with Prescribed Peak Points. Application to Impedance Matching ⋮ Operator algebras of idempotents ⋮ Distinguished varieties ⋮ A general Christoffel-Darboux type formula ⋮ Factorizations of Schur functions ⋮ Positive Carathéodory interpolation on the polydisc ⋮ Toral algebraic sets and function theory on polydisks ⋮ Multivariable Generalizations of the Schur Class: Positive Kernel Characterization and Transfer Function Realization ⋮ Classes of tuples of commuting contractions satisfying the multivariable von Neumann inequality ⋮ Isometric dilations and von Neumann inequality for a class of tuples in the polydisc ⋮ Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables ⋮ Pick interpolation on the polydisc: small families of sufficient kernels ⋮ Zero-forcing precoding for frequency selective MIMO channels with \(H^\infty \) criterion and causality constraint ⋮ Pick interpolation in several variables ⋮ Invariant subspaces and Nevanlinna-Pick kernels ⋮ Uniqueness results for extremal holomorphic functions in product domains ⋮ A tangential interpolation problem on the distinguished boundary of the polydisk for the Schur--Agler class ⋮ Carathéodory interpolation on the non-commutative polydisk ⋮ A new estimate for the vector valued corona problem ⋮ Schur-Agler and Herglotz-Agler classes of functions: positive-kernel decompositions and transfer-function realizations ⋮ Scattering systems with several evolutions and formal reproducing kernel Hilbert spaces ⋮ Kummert's approach to realization on the bidisk
This page was built for publication: Nevanlinna-Pick interpolation on the bidisk
