Abstract
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 contribution | An "analytic" version of Menshov's representation theorem |
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Original language | French |
Pages (from-to) | 219-222 |
Number of pages | 4 |
Journal | Comptes Rendus de l'Academie des Sciences - Series I: Mathematics |
Volume | 331 |
Issue number | 3 |
DOIs | |
State | Published - 1 Aug 2000 |