Email this article Measure-Preservation and the Existence of a Root of p-Adic 1-Lipschitz Functions in Mahler’s Expansion
- Authors: Jeong S.1
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Affiliations:
- Department of Mathematics
- Issue: Vol 10, No 3 (2018)
- Pages: 192-208
- Section: Research Articles
- URL: https://journals.rcsi.science/2070-0466/article/view/201021
- DOI: https://doi.org/10.1134/S2070046618030044
- ID: 201021
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Abstract
In this paper, we provide necessary and sufficient conditions for 1-Lipschitz functions that are uniformly differentiable mod p on ℤp to be measure-preserving, in Mahler’s expansion, and show that these conditions can be modified to guarantee the existence of a root of p-adic Lipschitz functions.
About the authors
Sangtae Jeong
Department of Mathematics
Author for correspondence.
Email: stj@inha.ac.kr
Korea, Republic of, Incheon, 22212
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