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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 193, Number 2, Pages 333–342
DOI: https://doi.org/10.4213/tmf9314 (Mi tmf9314) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Construction of a set of $p$-adic distributions

U. A. Rozikov, Z. T. Tugyonov

Institute of Mathematics, Tashkent, Uzbekistan
Full-text PDF (459 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf9314
Abstract: Adapting some methods for real-valued Gibbs measures on Cayley trees to the $p$-adic case, we construct several $p$-adic distributions on the set $\mathbb Z_p$ of $p$-adic integers. In addition, we give conditions under which these $p$-adic distributions become $p$-adic measures (i.e., bounded distributions).
Keywords: Cayley tree, $p$-adic number, $p$-adic distribution, $p$-adic measure.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 0828/GF4
This research was supported in part by the Kazakhstan Ministry of Education and Science (Grant No. 0828/GF4).
Received: 09.12.2016
English version:
Theoretical and Mathematical Physics, 2017, Volume 193, Issue 2, Pages 1694–1702
DOI: https://doi.org/10.1134/S0040577917110095
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: U. A. Rozikov, Z. T. Tugyonov, “Construction of a set of $p$-adic distributions”, TMF, 193:2 (2017), 333–342; Theoret. and Math. Phys., 193:2 (2017), 1694–1702
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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