Carathéodory-Fejér interpolation in the ball

D. Alpay; C. Dubi

doi:10.1016/S0024-3795(02)00430-5

Carathéodory-Fejér interpolation in the ball

D. Alpay, C. Dubi

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We use the theory of reproducing kernel Hilbert spaces to solve a Carathéodory-Fejér interpolation problem in the class of Schur multipliers of the reproducing kernel Hilbert space of functions analytic in the unit ball of C(N) with reproducing kernel 1 1-∑"1(N)z(k)w(k)(*).

Original language	English
Pages (from-to)	1-19
Number of pages	19
Journal	Linear Algebra and Its Applications
Volume	359
Issue number	1-3
DOIs	https://doi.org/10.1016/S0024-3795(02)00430-5
State	Published - 15 Jan 2003

Keywords

Carathéodory-Fejér interpolation
Complete Nevanlinna-Pick kernels
Reproducing kernel Hilbert spaces

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/S0024-3795(02)00430-5

Cite this

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abstract = "We use the theory of reproducing kernel Hilbert spaces to solve a Carath{\'e}odory-Fej{\'e}r interpolation problem in the class of Schur multipliers of the reproducing kernel Hilbert space of functions analytic in the unit ball of C(N) with reproducing kernel 1 1-∑{"}1(N)z(k)w(k)(*).",

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AU - Dubi, C.

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AB - We use the theory of reproducing kernel Hilbert spaces to solve a Carathéodory-Fejér interpolation problem in the class of Schur multipliers of the reproducing kernel Hilbert space of functions analytic in the unit ball of C(N) with reproducing kernel 1 1-∑"1(N)z(k)w(k)(*).

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KW - Complete Nevanlinna-Pick kernels

KW - Reproducing kernel Hilbert spaces

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ER -

Carathéodory-Fejér interpolation in the ball

Abstract

Keywords

ASJC Scopus subject areas

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