É. P. Normatov, U. A. Rozikov, “A description of harmonic functions via properties of the group representation of the Cayley tree”, Mat. Zametki, 2006, Volume 79, Issue 3,Pages <nobr>434

This article is cited in 12 papers

A description of harmonic functions via properties of the group representation of the Cayley tree

É. P. Normatov^a, U. A. Rozikov^b

^a National University of Uzbekistan named after M. Ulugbek
^b Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan

Abstract: We introduce a natural generalization of the notion of harmonic functions on a Cayley tree and use some properties of the group representation of the Cayley tree to describe the set of harmonic functions periodic with respect to normal subgroups of finite index.

UDC: 512.544.23+517.98+519.21

Received: 11.11.2004

DOI: 10.4213/mzm2712