INTERPOLATING SEQUENCES ON THE BIDISK

DOI10.1142/S0129167X01000800zbMath1110.47300arXiv1610.02379OpenAlexW2963456397MaRDI QIDQ4807380

John E. McCarthy, Jim Agler

Publication date: 18 May 2003

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.02379

zbMATH Keywords

reproducing kernel Hilbert spacesmultiplication operatorscontractionsbidiskSzegő kernelinterpolation sequences

Mathematics Subject Classification ID

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) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (5)

Properties of Beurling-type submodules via Agler decompositions ⋮ Interpolating sequences for the Banach algebras generated by a class of test functions ⋮ Random interpolating sequences in the polydisc and the unit ball ⋮ Canonical Agler decompositions and transfer function realizations ⋮ Interpolating \(d\)-tuples of matrices

Cites Work

• Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables
• An Interpolation Problem for Bounded Analytic Functions
• H ^∞ interpolating sequences in polydiscs
• Nevanlinna-Pick interpolation on the bidisk

This page was built for publication: INTERPOLATING SEQUENCES ON THE BIDISK