Mahler coefficients of locally scaling transformations on $\mathbb{Z}_{p}$
Volume 162 / 2020
Colloquium Mathematicum 162 (2020), 53-76
MSC: Primary 11S82; Secondary 37A05.
DOI: 10.4064/cm7810-6-2019
Published online: 8 April 2020
Abstract
We establish a formula describing the relation between Mahler and van der Put coefficients of continuous functions on the ring $\mathbb {Z}_{p}$ of $p$-adic integers. We show its application to a class of Lipschitz functions.
