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Linear Algebra and its Applications
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Linear Algebra and its Applications
Article . 2003
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Carathéodory-Fejér interpolation in the ball

Carathéodory--Fejér interpolation in the ball.
Authors: Alpay, Daniel; Dubi, C.;

Carathéodory-Fejér interpolation in the ball

Abstract

The authors consider the class of Schur multipliers of the reproducing kernel Hilbert space of functions analytic in the unit ball of the space of systems of \(N\) complex numbers. They solve a Carathéodory--Fejér interpolation problem in this class.

Related Organizations
Keywords

Complete Nevanlinna–Pick kernels, Carathéodory–Fejér interpolation, Numerical Analysis, Complete Nevanlinna–Pick kernels, Algebra and Number Theory, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Functional analysis techniques applied to functions of several complex variables, Carathéodory--Fejér interpolation, Carathéodory–Fejér interpolation, Algebra, reproducing kernel Hilbert spaces, complete Nevanlinna--Pick kernels, Discrete Mathematics and Combinatorics, Geometry and Topology, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Other Mathematics, Reproducing kernel Hilbert spaces, Linear operator methods in interpolation, moment and extension problems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
hybrid