Measure-Preservation and the Existence of a Root of p-Adic 1-Lipschitz Functions in Mahler’s Expansion

Citations

SCOPUS

7

초록

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. © 2018, Pleiades Publishing, Ltd.

키워드

1-LipschitzMahler basismeasure-preservingp-adic integersvan der Put basis
제목
Measure-Preservation and the Existence of a Root of p-Adic 1-Lipschitz Functions in Mahler’s Expansion
저자
Jeong, Sangtae
DOI
10.1134/S2070046618030044
발행일
2018
유형
Article
저널명
P-Adic Numbers, Ultrametric Analysis, and Applications
10
3
페이지
192 ~ 208