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A mean value property of harmonic functions
on the interior of a hyperbola
Received: October 6, 2009; Accepted: March 12, 2012
Abstract. We establish a mean value property for harmonic functions on the interior of a hyperbola. This property connects their boundary values with the interior ones on the axis of the hyperbola from the focus to infinity.
Keywords: Mean value property; harmonic function; hyperbola.
AMS Subject classification: Primary: 31A05, 31A10.
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