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TMF, 2010, Volume 162, Number 2, Pages 266–274 (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

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

DOI: https://doi.org/10.4213/tmf6469

Full text: PDF file (382 kB)
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English version:
Theoretical and Mathematical Physics, 2010, 162:2, 222–229

Bibliographic databases:

Received: 29.07.2009

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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\paper Description of $p$-harmonic functions on the~Cayley tree
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\vol 162
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\pages 266--274
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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