Carathéodory Fejér interpolation in the ball with mixed derivatives

D. Alpay; C. Dubi

doi:10.1016/j.laa.2003.11.029

Carathéodory Fejér interpolation in the ball with mixed derivatives

D. Alpay, C. Dubi

Department of Mathematics

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

8 Scopus citations

Abstract

We use reproducing kernel Hilbert space methods to solve a Carathéodory-Fejér type interpolation problem with mixed derivatives (corresponding to a so-called lower inclusive set) in the class of Schur multipliers.

Original language	English
Pages (from-to)	117-133
Number of pages	17
Journal	Linear Algebra and Its Applications
Volume	382
Issue number	1-3
DOIs	https://doi.org/10.1016/j.laa.2003.11.029
State	Published - 1 May 2004

Keywords

Carathéodory-Fejér interpolation
Leibenson backward shift operators

ASJC Scopus subject areas

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

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10.1016/j.laa.2003.11.029

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title = "Carath{\'e}odory Fej{\'e}r interpolation in the ball with mixed derivatives",

abstract = "We use reproducing kernel Hilbert space methods to solve a Carath{\'e}odory-Fej{\'e}r type interpolation problem with mixed derivatives (corresponding to a so-called lower inclusive set) in the class of Schur multipliers.",

keywords = "Carath{\'e}odory-Fej{\'e}r interpolation, Leibenson backward shift operators",

author = "D. Alpay and C. Dubi",

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AU - Dubi, C.

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N2 - We use reproducing kernel Hilbert space methods to solve a Carathéodory-Fejér type interpolation problem with mixed derivatives (corresponding to a so-called lower inclusive set) in the class of Schur multipliers.

AB - We use reproducing kernel Hilbert space methods to solve a Carathéodory-Fejér type interpolation problem with mixed derivatives (corresponding to a so-called lower inclusive set) in the class of Schur multipliers.

KW - Carathéodory-Fejér interpolation

KW - Leibenson backward shift operators

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1-3

ER -

Carathéodory Fejér interpolation in the ball with mixed derivatives

Abstract

Keywords

ASJC Scopus subject areas

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