Functional equations, alternating expansions, and generalizations of the Salem functions (Q6614062)
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scientific article; zbMATH DE number 7921895
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Functional equations, alternating expansions, and generalizations of the Salem functions |
scientific article; zbMATH DE number 7921895 |
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Functional equations, alternating expansions, and generalizations of the Salem functions (English)
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7 October 2024
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The paper under review extends an earlier work by the author [Aequationes Math. 95, No. 5, 801--820 (2021; Zbl 1481.11079)] and is devoted to modelling and investigating generalizations of the Salem functions by generalized shifts in terms of the nega-q-ary representation (the term ``nega'' is used because the base to this numerical system is a negative number). Montonicity and continuity properties are investigated, and the author promises to consider the differentiabilty properties in a forthcoming paper.
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shift operator
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systems of functional equations
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continuous functions
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nega-\(q\)-ary expansion
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