Mahler coefficients of uniformly differentiable locally scaling functions on ℤ2

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.

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Publication Details

Journal
Asian-European Journal of Mathematics
Published
2026-02-04
DOI
https://doi.org/10.1142/s1793557126500099
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
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article

Mahler coefficients of uniformly differentiable locally scaling functions on ℤ2

Nacima Memić, Demir Papić
Asian-European Journal of Mathematics
Mathematical Dynamics and Fractals
article

Mahler coefficients of uniformly differentiable locally scaling functions on ℤ2

Nacima Memić, Demir Papić
article en

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.

Asian-European Journal of Mathematics
University of Sarajevo (BA)
Openalex Percentile: Top 61%
Mathematical Dynamics and Fractals
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Mahler coefficients of uniformly differentiable locally scaling functions on ℤ2 — Nacima Memić, Demir Papić · Asian-European Journal of Mathematics (2026) | TGRS Research Map | TGRS