Approximation of Measures on S^n by discrete Measures
Number Theory
2007-05-23 v1
Abstract
We study the asymptotic behavior of discrete measures on S^{n-1} that are induced by radially projecting point masses concentrated on the integral lattice-points within dilates of a compact body D, for various classes of D. The results depend sensitively on the differential geometric properties of the boundary of D.
Cite
@article{arxiv.math/0601230,
title = {Approximation of Measures on S^n by discrete Measures},
author = {Marina Nechayeva and Burton Randol},
journal= {arXiv preprint arXiv:math/0601230},
year = {2007}
}