Research reveals conditions for differentiability of uniformly scaling functions using Mahler coefficients, suggesting new mathematical insights.
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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Memić et al. (2026) studied this question.
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