Polynomial Interpolation on the Unit Sphere II
Numerical Analysis
2007-05-23 v1 Classical Analysis and ODEs
Abstract
The problem of interpolation at points on the unit sphere by spherical polynomials of degree at most 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.
Cite
@article{arxiv.math/0407448,
title = {Polynomial Interpolation on the Unit Sphere II},
author = {Wolfgang zu Castell and Noemi Lain Fernandez and Yuan Xu},
journal= {arXiv preprint arXiv:math/0407448},
year = {2007}
}
Comments
14 pages