Pointwise estimates of the size of characters of compact Lie groups

Journal of the Australian Mathematical Society

Kathryn E. Hare¹ 

[1] David C. Wilson

关键词: primary 43A80;    secondary 22E46;    43A65;   

DOI  :  10.1017/S1446788700001841

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Pointwise bounds for characters of representations of the classical, compact, connected, simple Lie groups are obtained with which allow us to study the singularity of central measures. For example, we find the minimal integer k such that any continuous orbital measure convolved with itself k times belongs to L2. We also prove that if k = rank G then μ 2k ∈ L1 for all central, continuous measures μ. This improves upon the known classical result which required the exponent to be dimension of the group G.

【 授权许可】

Unknown