Approximation of Measures on S^n by discrete Measures

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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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Number Theory, 11K70; 58C35

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http://salesiana.dossiersoluciones.com/handle/123456789/107481

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601230
 http://arxiv.org/abs/math/0601230

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arXiv