Representations of Fourier coefficients in Tauberian \(L^ 1\)-convergence classes (Q1178466)
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scientific article; zbMATH DE number 21690
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representations of Fourier coefficients in Tauberian \(L^ 1\)-convergence classes |
scientific article; zbMATH DE number 21690 |
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Representations of Fourier coefficients in Tauberian \(L^ 1\)-convergence classes (English)
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26 June 1992
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The authors prove that Fourier coefficients satisfying a particular Tauberian condition [\textit{Č. V. Stanojević}, Bull. Am. Math. Soc. 19, 283-286 (1988; Zbl 0663.42008)] can be represented in terms of \(O\)- regularly varying sequences.
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Fourier coefficients
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Tauberian condition
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\(O\)-regularly varying sequences
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