Cesàro kernels on classical groups

Journal of the Australian Mathematical Society

Dashan Fan¹ 

关键词: primary 43A55;    43A50;    43A80;    secondary 22E20;   

DOI  :  10.1017/S1446788700000951

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We study the Cesàro operatoron the classical group G and give a necessary and sufficient condition on the index α = α(G) for which the operatoris convergent to f(U) for any continuous function f as N → ∞. The result in this paper solves a question posed by Gong in the book Harmonic analysis on classical groups.

【 授权许可】

Unknown