J Austral Math Soc Ser A 56 pp384--390, 1994.

L^p-Dunctions Satisfying The Mean Value Property on Homogenous Spaces

A. Sitaram and G. A. Willis

(Received 5 February 1992)

Abstract

It is proved that on certain kinds of homogenous spaces, the only L^p function, 1 Ł p < Ą, satisfying the mean value property is the zero function.

1991 AMS Subject Classification: 22E99, 43A85

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Authors

A. Sitaram: Indian Statistical Institute, Bangalore 560 059, India.
G. A. Willis: The Australian National University, Canberra, ACT 2601, Australia.

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