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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 162, Number 2, Pages 266–274
DOI: https://doi.org/10.4213/tmf6469 (Mi tmf6469) 		 
Description of $p$-harmonic functions on the Cayley tree

U. A. Rozikova, F. T. Ishankulovb

a Institute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
b Samarkand State University, Samarkand, Uzbekistan
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DOI: https://doi.org/10.4213/tmf6469
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
English version:
Theoretical and Mathematical Physics, 2010, Volume 162, Issue 2, Pages 222–229
DOI: https://doi.org/10.1007/s11232-010-0017-3
Bibliographic databases:
Language: Russian
Citation: U. A. Rozikov, F. T. Ishankulov, “Description of $p$-harmonic functions on the Cayley tree”, TMF, 162:2 (2010), 266–274; Theoret. and Math. Phys., 162:2 (2010), 222–229
Citation in format AMSBIB
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