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On \(U_{\phi}\)-sets of trigonometric integrals - MaRDI portal

On \(U_{\phi}\)-sets of trigonometric integrals (Q1089863)

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scientific article; zbMATH DE number 4006921
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On \(U_{\phi}\)-sets of trigonometric integrals
scientific article; zbMATH DE number 4006921

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    On \(U_{\phi}\)-sets of trigonometric integrals (English)
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    1986
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    Referring a theorem quoted in Zygmund's monograph on trigonometric series, \(U_{\phi}\)-sets for trigonometric integrals are considered. It is shown that the complements of these \(U_{\phi}\)-sets can play a role analogous to that of the \(U_{\epsilon}\)-sets for trigonometric series. Two theorems are proved accordingly.
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    Fourier transform
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