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Approximation of Measures on S^n by discrete Measures

Marina Nechayeva·Burton Randol
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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.

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Marina Nechayeva, Burton Randol. 2006-01-10. Approximation of Measures on S^n by discrete Measures. https://arxiv.org/abs/math/0601230

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