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

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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.
7 pages. Should be identical to journal version

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Classical Analysis and ODEs

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http://salesiana.dossiersoluciones.com/handle/123456789/106059

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512045
 http://arxiv.org/abs/math/0512045
 C. R. Acad. Sci. Paris Ser. I Math. 329:4 (1999), 275-280
 doi:10.1016/S0764-4442(00)88566-3

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arXiv