S^n上测度的离散测度逼近
Approximation of Measures on S^n by discrete Measures
摘要:
本文研究了S^{n-1}上离散测度的渐近性态,这些离散测度是由紧致体D的伸缩体中的积分格点上的径向投影点质量引起的。结果敏感地依赖于D.
英文摘要:
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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