Representation of non periodic functions by trigonometric series with almost integer frequencies
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🧮 math.CA
keywords
almostfrequenciesrepresentationseriestrigonometriccomplexconvergenteverywhere
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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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