Polynomials and High-Dimensional Spheres

Abstract

We show that a natural class of orthogonal polynomials on large spheres in $N$ dimensions tend to Hermite polynomials in the large-$N$ limit. We determine the behavior of the spherical Laplacian as well as zonal harmonic polynomials in the large-$N$ limit.

References in corpus (1)

• Gaussian Limit for High-Dimensional Spherical Means