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Functional equations for peculiar functions (Q1356806)

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scientific article; zbMATH DE number 1019195
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Functional equations for peculiar functions
scientific article; zbMATH DE number 1019195

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    Functional equations for peculiar functions (English)
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    20 July 1997
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    This is a thorough and interesting survey of functional equations which characterize certain everywhere continuous nowhere differentiable functions, strictly monotonic functions with almost everywhere 0 derivatives, replicative functions (cf. \textit{D. E. Knuth} [The art of computer programming, Vol. I. (1968; Zbl 0191.17903)], etc. It concludes with some open problems and with 122 references.
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    Continuous nowhere differentiable functions
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    strictly monotonic functions with almost everywhere 0 derivatives
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    Replicative functions
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    Characterizations by functional equations in a single variable
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    Peculiar functions
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    Survey
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