Une version analytique du théorème de représentation de Menshov

Translated title of the contribution: An "analytic" version of Menshov's representation theorem

Gady Kozma*, Alexander Olevskiǐ

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Every measurable function f on the circle can be represented as a sum of harmonics with positive spectrum, (formula presented) converging in measure. For convergence almost everywhere this is not true. We discuss several other sets Λ ⊂ ℤ for which one might get a Menshov type representation converging almost everywhere or in measure.

Translated title of the contributionAn "analytic" version of Menshov's representation theorem
Original languageFrench
Pages (from-to)219-222
Number of pages4
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Issue number3
StatePublished - 1 Aug 2000


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