A Two-Spheres Problem on Homogeneous Trees |
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| Authors: | Francisco Javier González Vieli |
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| Affiliation: | Institut für Angewandte Mathematik, Universit?t Heidelberg; Im Neuenheimer Feld 294, 69120 Heidelberg, GERMANY; E-mail: m29@ix.urz.uni-heidelberg.de. From September 1998: Institut de Mathématiques, Université de Lausanne; 10105 Lausanne, Switzerland;, DE
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| Abstract: | m , n two relatively prime natural numbers, if a complex valued function f on a homogeneous tree satisfies the mean value property for all spheres of radius m and all spheres of radius n, then f is harmonic. Received: November 27, 1995/Revised: Revised March 16, 1998 |
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| Keywords: | AMS Subject Classification (1991) Classes: 05C05, 43A85 |
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