Spherical analog of the complex form of trigonometric Fourier series; approximation

被引：0
|
作者：
Terekhin, AP [1 ]
机构：
[1] Saratov State Univ, Saratov, Russia
来源：
MATHEMATICAL NOTES | 2000年 / 67卷 / 5-6期
关键词：
Fourier sums; approximation; spherical polynomial; hypercomplex system;
D O I：
10.1007/BF02676338
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a function defined on the unit sphere of dimension at least 2, we suggest a spherical analog with algebraic structure similar to the Fourier components of a function defined on the unit circle. The deviations of the analogs of partial Fourier sums from the function are estimated with respect to various norms.
引用
收藏
页码：646 / 656
页数：11
相关论文
共 50 条
12345