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.
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页数：22
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