On the discrepancy of point distributions on spheres and hyperbolic spaces

被引：2

作者：

Magyar, A ^{[1
]}

机构：

[1] Univ Georgia, Dept Math, Athens, GA 30602 USA

来源：

MONATSHEFTE FUR MATHEMATIK | 2002年 / 136卷 / 04期

关键词：

discrepancy; spherical caps; hyperbolic spaces;

D O I：

10.1007/s00605-002-0480-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Optimal lower bounds are given for the discrepancy of point distributions w.r.t. geodesic balls on spheres and hyperbolic spaces. The mean discrepancy is estimated below by using a non-commutative version of the Fourier transform method developed by Beck for Euclidean spaces.

引用

页码：287 / 296

页数：10

共 7 条

[1] SOME UPPER-BOUNDS IN THE THEORY OF IRREGULARITIES OF DISTRIBUTION [J].