The size of characters of compact Lie groups

被引:0
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作者
Hare, KE [1 ]
机构
[1] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Pointwise upper bounds for characters of compact, connected, simple Lie groups are obtained which enable one to prove that if mu is any central, continuous measure and n exceeds half the dimension of the Lie group, then mu(n) is an element of L-1. When mu is a continuous, orbital measure then mu(n) is seen to belong to L-2. Lower bounds on the p-norms of characters are also obtained, and are used to show that, as in the abelian case, m-fold products of Sidon sets are not p-Sidon if p < 2m/(m + 1).
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页码:1 / 18
页数:18
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