Integral Representations for Harmonic Functions of Infinite Order in a Cone

被引：12
作者：
Qiao, Lei [1 ]
机构：
[1] Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China
来源：
RESULTS IN MATHEMATICS | 2012年 / 61卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Integral representation; harmonic function; cone; DIRICHLET;
D O I：
10.1007/s00025-010-0076-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A harmonic function of infinite order defined in an n-dimensional cone and continuous in the closure can be represented in terms of the modified Poisson integral and an infinite sum of harmonic polynomials vanishing on the boundary.
引用
收藏
页码：63 / 74
页数：12
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