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Lp-functions satisfying the mean value property on homogeneous spaces

Part of: Lie groups Abstract harmonic analysis

Published online by Cambridge University Press:  09 April 2009

A. Sitaram  and
G. A. Willis
A. Sitaram
Affiliation:
Indian Statistical Institute, Bangalore 560 059, India
G. A. Willis
Affiliation:
The Australian National UniversityCanberra ACT 2601, Australia
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Abstract

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It is proved that on certain kinds of homogeneous spaces, the only Lp function, 1≤ p < ∞, satisfying the mean value property is the zero function.

MSC classification

Secondary: 22E99: None of the above, but in this section 43A85: Analysis on homogeneous spaces
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 56 , Issue 3 , June 1994 , pp. 384 - 390
Copyright
Copyright © Australian Mathematical Society 1994

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