An analogue of Lebesgue-Radon-Nikodym theorem with respect to p-adic q-invariant distribution on \Bbb Z_p

2005/03/09 by Taekyun Kim, Kim, Taekyun
Mathematics · #11B68 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #advanced mathematical theories #math.NT #msc:11B68

paper · pdf · doi:10.48550/arxiv.math/0503172

9 pages

arxiv created 2005/03/09 · openalex publication_date 2005/03/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to derive the analogue of Lebesgue-Radon-Nikodym theorem with respect to p-adic q-invariant distribution on \Bbb Z_p which is defined by author in [1].

Related

• Radon-Nikodym theorem with respect to (ρ,q)-measure on \Bbb Z_p
• Lebesque-Radon-Nikodym theorem with respect to p-adic invariant measure on Zp
• A note on p-adic q-integrals associated with q-Euler numbers
• Invariant Probability Measures under p-adic Transformations
• The Collatz Conjecture & Non-Archimedean Spectral Theory -- Part II -- (p,q)-Adic Fourier Analysis and Wiener's Tauberian Theorem