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Multipliers of Fourier transforms and series on \(L^ 1\) - MaRDI portal

Multipliers of Fourier transforms and series on \(L^ 1\) (Q1319589)

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scientific article; zbMATH DE number 550289
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Multipliers of Fourier transforms and series on \(L^ 1\)
scientific article; zbMATH DE number 550289

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    Multipliers of Fourier transforms and series on \(L^ 1\) (English)
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    1 February 1995
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    In the first part of the paper the authors prove that the functions of certain subspaces of the space of bounded absolutely continuous functions in \((-\infty,\infty)\) are multipliers of the Fourier transform. In the second part an analogous theorem concerning the Fourier series is proved.
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    absolutely continuous functions
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    multipliers
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    Fourier transform
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    Fourier series
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