Polynomial Interpolation on the Unit Sphere II

Details Polynomial Interpolation on the Unit Sphere II Polynomial Interpolation on the Unit Sphere II

2004-07-27

arxiv.org/abs/math/0407448v1

Mathematics

Numerical Analysis

14 pages

Scientific paper

The problem of interpolation at $(n+1)^2$ points on the unit sphere
$\mathbb{S}^2$ 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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