Thin sets defined by a sequence of continuous functions (Q2702795)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Thin sets defined by a sequence of continuous functions |
scientific article |
Statements
13 March 2001
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trigonometric thin set
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Borel basis
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permitted set
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well distributed sequence
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Salem theorem
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Arbault-Erdős theorem
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Thin sets defined by a sequence of continuous functions (English)
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The paper studies thin sets of reals defined from a sequence \(\{f_n\}\) of continuous real functions in a similar way as trigonometric thin sets are defined from the sequence \(\{\operatorname {sin} 2 \pi nx\}\). There are also given some conditions under which such families form a trigonometric like family. The paper shows that all important classical results on trigonometric thin sets can be proved in a more general case.
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