Spherical designs via Brouwer fixed point theorem
Numerical Analysis
2010-09-07 v1
Abstract
For each N>=c_d*n^{2d*(d+1)/(d+2)} we prove the existence of a spherical n-design on S^d consisting of N points, where c_d is a constant depending only on .
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Cite
@article{arxiv.0811.1416,
title = {Spherical designs via Brouwer fixed point theorem},
author = {Andriy V. Bondarenko and Maryna S. Viazovska},
journal= {arXiv preprint arXiv:0811.1416},
year = {2010}
}
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17 pages