p. 55 - 61 A mean value property of harmonic functions on prolate ellipsoids of revolution E. Symeonidis 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. PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2008, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |