Mahler coefficients of uniformly differentiable locally scaling functions on ℤ2

Asian-European Journal of Mathematics 2026

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Authors: Nacima Memić, Demir Papić
DOI: 10.1142/s1793557126500099
Cited by: 1
References: 10

Abstract

We establish a link between uniformly differentiable locally scaling functions and ergodic transformations by means of the finite-difference operator. This relation enables us to derive necessary and sufficient conditions for uniform differentiability of locally scaling functions by means of their Mahler coefficients.

Fields of Study & Subjects

Mathematical Dynamics and Fractals advanced mathematical theories Mathematical Analysis and Transform Methods

Publication details

Journal / source
Asian-European Journal of Mathematics
Publisher
World Scientific Pub Co Pte Ltd
Volume
19
Issue
11
Publication date
4 February 2026
Language
EN