Polynomial interpolation on the unit sphere

被引：15
|
作者：
Xu, Y [1 ]
机构：
[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2003年 / 41卷 / 02期
关键词：
interpolation; spherical polynomials; unit sphere;
D O I：
10.1137/S003614290139946X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The problem of interpolation at (n + 1)(2) points on the unit sphere S-2 by spherical polynomials of degree at most n is studied. Many sets of points that admit unique interpolation are given explicitly. The proof is based on a method of factorization of polynomials. A related problem of interpolation by trigonometric polynomials is also solved.
引用
收藏
页码：751 / 766
页数：16
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