Approximation of Measures on S^n by discrete Measures

Details Approximation of Measures on S^n by discrete Measures Approximation of Measures on S^n by discrete Measures

2006-01-10

arxiv.org/abs/math/0601230v1

Mathematics

Number Theory

Scientific paper

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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