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A mean value property of harmonic functions on prolate ellipsoids
Received: October 4, 2006; Accepted: May 17, 2007
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.
Keywords: mean value property; harmonic function; ellipsoid; prolate spheroid.
AMS Subject classification: Primary: 31B05; Secondary: 31A05, 31A10.
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