Paley sets and term by term dyadic differentiation of Walsh series (Q1310434)
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scientific article; zbMATH DE number 480500
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Paley sets and term by term dyadic differentiation of Walsh series |
scientific article; zbMATH DE number 480500 |
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Paley sets and term by term dyadic differentiation of Walsh series (English)
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13 March 1994
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\textit{C. W. Onneweer} [Acta Sci. Math. 39, 121-128 (1977; Zbl 0356.43007)] characterized dyadic differentiability of absolutely convergent Rademacher series on Vilenkin groups. The present authors extend this result for gap (of Paley type) Walsh series. Their techniques extend easily to any group of integers of a \(p\)-series field. However, the problem of the extension to Vilenkin groups of unbounded type remains still open.
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Paley sets
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dyadic differentiability
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Walsh series
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Vilenkin groups
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0.89521265
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0.87352335
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0.8698159
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0.8549309
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0.8501211
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