The Schur algorithm and reproducing kernel Hilbert spaces in the ball

Daniel Alpay; Vladimir Bolotnikov; H. Turgay Kaptanoğlu

doi:10.1016/S0024-3795(01)00448-7

The Schur algorithm and reproducing kernel Hilbert spaces in the ball

Daniel Alpay
, Vladimir Bolotnikov
, H. Turgay Kaptanoğlu

Department of Mathematics

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

25 Scopus citations

Abstract

Using reproducing kernel Hilbert spaces methods we develop a Schur-type algorithm for a subclass of the functions analytic and contractive in the ball. We also consider the Nevanlinna–Pick interpolation problem in that class.

Original language	English
Pages (from-to)	163-186
Number of pages	24
Journal	Linear Algebra and Its Applications
Volume	342
Issue number	1-3
DOIs	https://doi.org/10.1016/S0024-3795(01)00448-7
State	Published - 15 Feb 2002

Keywords

Leech's theorem
Schur algorithm
Unit ball

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(01)00448-7

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title = "The Schur algorithm and reproducing kernel Hilbert spaces in the ball",

abstract = "Using reproducing kernel Hilbert spaces methods we develop a Schur-type algorithm for a subclass of the functions analytic and contractive in the ball. We also consider the Nevanlinna–Pick interpolation problem in that class.",

keywords = "Leech's theorem, Schur algorithm, Unit ball",

author = "Daniel Alpay and Vladimir Bolotnikov and Kaptanoğlu, \{H. Turgay\}",

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AU - Alpay, Daniel

AU - Bolotnikov, Vladimir

AU - Kaptanoğlu, H. Turgay

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Y1 - 2002/2/15

N2 - Using reproducing kernel Hilbert spaces methods we develop a Schur-type algorithm for a subclass of the functions analytic and contractive in the ball. We also consider the Nevanlinna–Pick interpolation problem in that class.

AB - Using reproducing kernel Hilbert spaces methods we develop a Schur-type algorithm for a subclass of the functions analytic and contractive in the ball. We also consider the Nevanlinna–Pick interpolation problem in that class.

KW - Leech's theorem

KW - Schur algorithm

KW - Unit ball

UR - https://www.scopus.com/pages/publications/31244437510

U2 - 10.1016/S0024-3795(01)00448-7

DO - 10.1016/S0024-3795(01)00448-7

M3 - Article

AN - SCOPUS:31244437510

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VL - 342

SP - 163

EP - 186

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1-3

ER -

The Schur algorithm and reproducing kernel Hilbert spaces in the ball

Abstract

Keywords

ASJC Scopus subject areas

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