Radon-Nikodym theorem with respect to (ρ,q)-measure on \Bbb Z_p

2022/01/25 by Dongkyu Lim, Lim, Dongkyu
Mathematics · #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical and Theoretical Analysis #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2201.11075

openalex publication_date 2022/01/25 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

Araci et al. introduced a p-adic (ρ,q)-analogue of the Haar distribution. By means of the distribution, they constructed the p-adic (ρ,q)-Volkenborn integral. In this paper, by virtue of the Mahler expansion of continuous functions, the author gives the Radon-Nikodym theorem with respect to the p-adic (ρ,q)-distribution on \Bbb Z_p.

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