A NOTE ON POINTWISE CONVERGENCE FOR EXPANSIONS IN SURFACE HARMONICS OF HIGHER DIMENSIONAL EUCLIDEAN SPACES

被引：0
|
作者：
Fei, Ming-Gang [1 ]
Qian, Tao [2 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Peoples R China
[2] Univ Macau, Fac Sci & Technol, Dept Math, Taipa, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2009年 / 13卷 / 03期
关键词：
Spherical Harmonics; Fourier-Laplace series; Carleson's Theorem; Legendre polynomials;
D O I：
10.11650/twjm/1500405459
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the Fourier-Laplace series on the unit sphere of higher dimensional Euclidean spaces and obtain a condition for convergence of Fourier-Laplace series on the unit sphere. The result generalizes Carleson's Theorem to higher dimensional unit spheres.
引用
收藏
页码：1053 / 1062
页数：10
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