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

页码：646 / 656

页数：11

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