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Matematicheskie Zametki, 2006, Volume 79, Issue 3, Pages 434–443
DOI: https://doi.org/10.4213/mzm2712 (Mi mzm2712) 		 
This article is cited in 12 scientific papers (total in 12 papers)

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

É. P. Normatova, U. A. Rozikovb

a National University of Uzbekistan named after M. Ulugbek
b Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Full-text PDF (244 kB) Citations (12)
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DOI: https://doi.org/10.4213/mzm2712
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.
Received: 11.11.2004
English version:
Mathematical Notes, 2006, Volume 79, Issue 3, Pages 399–407
DOI: https://doi.org/10.1007/s11006-006-0044-4
Bibliographic databases:
UDC: 512.544.23+517.98+519.21
Language: Russian
Citation: É. P. Normatov, U. A. Rozikov, “A description of harmonic functions via properties of the group representation of the Cayley tree”, Mat. Zametki, 79:3 (2006), 434–443; Math. Notes, 79:3 (2006), 399–407
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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