Relationships between singular expansions of real numbers (Q6660778)

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scientific article; zbMATH DE number 7965103
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Relationships between singular expansions of real numbers
scientific article; zbMATH DE number 7965103

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    Relationships between singular expansions of real numbers (English)
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    10 January 2025
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    In [Trans. Am. Math. Soc. 53, 427--439 (1943; Zbl 0060.13709)], \textit{R. Salem} modeled a singular function which is strictly increasing. This paper deals with properties of one map between two expansions of real numbers of the Salem type. The monotonicity, differential and integral properties of the function, and fractal properties about the graph, are considered.
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    Salem function
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    systems of functional equations
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    complicated local structure
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