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

页码：751 / 766

页数：16

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