Cesàro kernels on classical groups
Dashan Fan · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 1997
Abstract We study the Cesàro operator on the classical group G and give a necessary and sufficient condition on the index α = α(G) for which the operator is 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.