Geodesic
A~description of harmonic functions via properties of the group representation of the Cayley tree
Matematičeskie zametki, Tome 79 (2006) no. 3, pp. 434-443

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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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     author = {\'E. P. Normatov and U. A. Rozikov},
     title = {A~description of harmonic functions via properties of the group representation of the {Cayley} tree},
     journal = {Matemati\v{c}eskie zametki},
     pages = {434--443},
     publisher = {mathdoc},
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     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_79_3_a9/}
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É. P. Normatov; U. A. Rozikov. A~description of harmonic functions via properties of the group representation of the Cayley tree. Matematičeskie zametki, Tome 79 (2006) no. 3, pp. 434-443. http://geodesic.mathdoc.fr/item/MZM_2006_79_3_a9/