Dirichlet sets in Vilenkin groups (Q1310438)
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scientific article; zbMATH DE number 480504
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dirichlet sets in Vilenkin groups |
scientific article; zbMATH DE number 480504 |
Statements
Dirichlet sets in Vilenkin groups (English)
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3 January 1994
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The author proves that every Dirichlet set in a compact Vilenkin group \(G\) is a strong set of uniqueness. This generalizes a similar theorem for such sets in the dyadic group, due to \textit{K. Yoneda} [Tôhoku Math. J., II. Ser. 38, 1-14 (1986; Zbl 0603.42026)]. Furthermore, the author presents some sufficient conditions for a subset of \(G\) to be a Dirichlet set.
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Dirichlet set
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compact Vilenkin group
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strong set of uniqueness
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