Polynomial interpolation on the unit sphere II

被引：8
|
作者：
Castell, Wolfgang zu
Fernandez, Noemi Lain
Xu, Yuan
机构：
[1] GSF, Natl Res Ctr Environm & Hlth, Inst Biomath & Biometry, D-85764 Neuherberg, Germany
[2] Univ Oregon, Dept Math, Eugene, OR 97403 USA
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 2007年 / 26卷 / 1-3期
基金：
美国国家科学基金会;
关键词：
interpolation; spherical polynomials; unit sphere;
D O I：
10.1007/s10444-005-7510-5
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 proved to have a unique solution for several sets of points. The points are located on a number of circles on the sphere with even number of points on each circle. The proof is based on a method of factorization of polynomials.
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页码：155 / 171
页数：17
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