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A Mean Value Property of Harmonic Functions on Prolate Ellipsoids of Revolution

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Author(s): E. Symeonidis

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXVII;
Issue: 1;
Start page: 55;
Date: 2008;
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Keywords: mean value property | harmonic function | ellipsoid | prolate spheroid

ABSTRACT
We establish a mean value property for harmonic functions on the interior of a prolate ellipsoid of revolution. This property connects their boundary values with those on the interfocal segment.
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