Polynomials and High-Dimensional Spheres
Probability
2019-03-20 v1 Functional Analysis
Abstract
We show that a natural class of orthogonal polynomials on large spheres in dimensions tend to Hermite polynomials in the large- limit. We determine the behavior of the spherical Laplacian as well as zonal harmonic polynomials in the large- limit.
Cite
@article{arxiv.1903.07697,
title = {Polynomials and High-Dimensional Spheres},
author = {Amy Peterson and Ambar N. Sengupta},
journal= {arXiv preprint arXiv:1903.07697},
year = {2019}
}