Regulated functions whose Fourier series converge for every change of variable (Q1378674)
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scientific article; zbMATH DE number 1115513
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regulated functions whose Fourier series converge for every change of variable |
scientific article; zbMATH DE number 1115513 |
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Regulated functions whose Fourier series converge for every change of variable (English)
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27 April 1999
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The known result for continuous functions has been generalized for a wider class of regulated functions. The main result of the article is as follows: If \(f\) is regulated then \(f \circ g\) has an everywhere convergent Fourier series for every homeomorphism \(g\) if and only if \(f\) is a \(GW\)-function.
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Fourier series
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regulated functions
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