A description of harmonic functions via properties of the group representation of the Cayley tree |
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| Authors: | É. P. Normatov U. A. Rozikov |
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| Affiliation: | 1. Uzbek National University, Tashkent, Uzbekistan
2. Institute of Mathematics, Uzbek Academy of Sciences, Tashkent, Uzbekistan
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| 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. |
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