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arXiv · 1903.07697

Polynomials and High-Dimensional Spheres

Amy Peterson·Ambar N. Sengupta
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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.

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Amy Peterson, Ambar N. Sengupta. 2019-03-18. Polynomials and High-Dimensional Spheres. https://arxiv.org/abs/1903.07697

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