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Cesàro kernels on classical groups

Published online by Cambridge University Press:  09 April 2009

Dashan Fan
Affiliation:
Department of Mathematical Sciences University of Wisconsin-MilwaukeeMilwaukee, WI 53201USA e-mail: [email protected]
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Abstract

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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
Copyright
Copyright © Australian Mathematical Society 1997

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