Description of $p$-harmonic functions on the Cayley tree

U. A. Rozikov^a, F. T. Ishankulov<sup>b

a</sup> Institute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
^b Samarkand State University, Samarkand, Uzbekistan

Abstract: We describe some $p$-harmonic functions on the Cayley tree constructively and also study linear relations between such functions.

Keywords: Cayley tree, group, $p$-harmonic function, Laplacian.

Received: 29.07.2009

DOI: 10.4213/tmf6469

 English version: Theoretical and Mathematical Physics, 2010, 162:2, 222–229

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