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

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

2005-12-02

arxiv.org/abs/math/0512045v1

C. R. Acad. Sci. Paris Ser. I Math. 329:4 (1999), 275-280

Mathematics

Classical Analysis and ODEs

7 pages. Should be identical to journal version

Scientific paper

10.1016/S0764-4442(00)88566-3

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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