Carathéodory--Fejér interpolation in the ball.

DOI10.1016/S0024-3795(02)00430-5zbMath1059.46019MaRDI QIDQ1864955

Daniel Alpay, Chen Dubi

Publication date: 23 March 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

reproducing kernel Hilbert spacesCarathéodory--Fejér interpolationcomplete Nevanlinna--Pick kernels

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) Functional analysis techniques applied to functions of several complex variables (32A70) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (1)

Carathéodory Fejér interpolation in the ball with mixed derivatives

Cites Work

• Hilbert spaces of analytic functions, inverse scattering and operator models. I
• Pick-Nevanlinna interpolation theorem and multiplication operators on functional Hilbert spaces
• The Schur algorithm and reproducing kernel Hilbert spaces in the ball
• Complete Nevanlinna-Pick kernels
• Invariant subspaces and Nevanlinna-Pick kernels
• One two-sided residue interpolation for matrix-valued \(H_ 2\)-functions with symmetries
• Linear Operator Equations
• Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. II
• Interpolation problems, extensions of symmetric operators and reproducing kernel spaces. II
• Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem
• Boundary interpolation in the ball
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