Représentation de fonctions non périodiques par des séries trigonométriques de fréquences presque entières

Translated title of the contribution: Representation of non-periodic functions by trigonometric series with almost integer frequencies

Research output: Contribution to journalArticlepeer-review

Abstract

Inspired by Men'shov's representation theorem, we prove that there exists a sequence {λ(n)} ⊂ ℝ̂, λ(n) = n + o(1), n ∈ ℤ, such that any measurable (complex valued) function f on ℝ can be represented as a sum of almost everywhere convergent trigonometric series (Equation presented).

Translated title of the contributionRepresentation of non-periodic functions by trigonometric series with almost integer frequencies
Original languageFrench
Pages (from-to)275-280
Number of pages6
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume329
Issue number4
DOIs
StatePublished - Aug 1999

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