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Representation of non periodic functions by trigonometric series with almost integer frequencies

Gady Kozma·Alexander Olevskii
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Abstract

Inspired by Menshov's representation theorem, we prove that there exists a sequence of frequecies such that any measurable (complex valued) function on R can be represented as a sum of almost everywhere convergent trigonometric series with these frequencies.

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Gady Kozma, Alexander Olevskii. 2005-12-02. Representation of non periodic functions by trigonometric series with almost integer frequencies. https://doi.org/10.1016/s0764-4442(00)88566-3

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