Geodesic
Construction of a~set of $p$-adic distributions
Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 2, pp. 333-342

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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 measure.
Mots-clés : $p$-adic distribution 
@article{TMF_2017_193_2_a8,
     author = {U. A. Rozikov and Z. T. Tugyonov},
     title = {Construction of a~set of $p$-adic distributions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {333--342},
     publisher = {mathdoc},
     volume = {193},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_193_2_a8/}
}
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U. A. Rozikov; Z. T. Tugyonov. Construction of a~set of $p$-adic distributions. Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 2, pp. 333-342. http://geodesic.mathdoc.fr/item/TMF_2017_193_2_a8/