Lidstone interpolation II. Two variables

被引：0

作者：

Waldschmidt, Michel ^{[1
]}

机构：

[1] Sorbonne Univ, CNRS, Inst Math Jussieu Paris Rive Gauche IMJ PRG, F-75005 Paris, France

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 16卷 / 04期

关键词：

Lidstone polynomials; exponential type; analytic functions of several variables;

D O I：

10.1142/S1793557123500729

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

According to Lidstone's interpolation theory, an entire function of a single variable of exponential type < pi is determined by it derivatives of even order at 0 and 1. In a previous paper, we gave a survey of this classical univariate theory. Here, we generalize it to two variables. Multivariate Lidstone interpolation will be the topic of a forthcoming paper.

引用

页数：22

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