On the Discrepancy of Point Distributions on Spheres and Hyperbolic Spaces |
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| Authors: | Akos Magyar |
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| Institution: | (1) University of Georgia, Athens, GA, USA, GE |
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| Abstract: | 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.
Received March 2, 2000; in revised form February 28, 2002 Published online August 19, 2002 |
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| Keywords: | 2000 Mathematics Subject Classification: 11K38 43A85 |
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