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Cesàro kernels on classical groups
Published online by Cambridge University Press: 09 April 2009
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.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 63 , Issue 3 , December 1997 , pp. 364 - 389
- Copyright
- Copyright © Australian Mathematical Society 1997