About a Non-Standard Interpolation Problem

Daniel Alpay; Alain Yger

doi:10.1007/s40315-018-0255-1

About a Non-Standard Interpolation Problem

Daniel Alpay
, Alain Yger

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

5 Scopus citations

Abstract

Using algebraic methods, and motivated by the one variable case, we study a multipoint interpolation problem in the setting of several complex variables. The duality realized by the residue generator associated with an underlying Gorenstein algebra, using the Lagrange interpolation polynomial, plays a key role in the arguments.

Original language	English
Pages (from-to)	97-115
Number of pages	19
Journal	Computational Methods and Function Theory
Volume	19
Issue number	1
DOIs	https://doi.org/10.1007/s40315-018-0255-1
State	Published - 8 Mar 2019
Externally published	Yes

Keywords

Interpolation
Residue theory

ASJC Scopus subject areas

Analysis
Computational Theory and Mathematics
Applied Mathematics

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10.1007/s40315-018-0255-1

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title = "About a Non-Standard Interpolation Problem",

abstract = "Using algebraic methods, and motivated by the one variable case, we study a multipoint interpolation problem in the setting of several complex variables. The duality realized by the residue generator associated with an underlying Gorenstein algebra, using the Lagrange interpolation polynomial, plays a key role in the arguments.",

keywords = "Interpolation, Residue theory",

author = "Daniel Alpay and Alain Yger",

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year = "2019",

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doi = "10.1007/s40315-018-0255-1",

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AU - Yger, Alain

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AB - Using algebraic methods, and motivated by the one variable case, we study a multipoint interpolation problem in the setting of several complex variables. The duality realized by the residue generator associated with an underlying Gorenstein algebra, using the Lagrange interpolation polynomial, plays a key role in the arguments.

KW - Interpolation

KW - Residue theory

UR - https://www.scopus.com/pages/publications/85062797036

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DO - 10.1007/s40315-018-0255-1

M3 - Article

AN - SCOPUS:85062797036

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SP - 97

EP - 115

JO - Computational Methods and Function Theory

JF - Computational Methods and Function Theory

IS - 1

ER -

About a Non-Standard Interpolation Problem

Abstract

Keywords

ASJC Scopus subject areas

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