An "Analytic" Version of Menshov's Representation Theorem

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dc.creatorKozma, Gady
dc.creatorOlevskii, Alexander
dc.date2005-12-01
dc.date.accessioned2026-07-07T06:54:43Z
dc.date.available2026-07-07T06:54:43Z
dc.descriptionEvery measurable function f on the circle can be represented as a sum of harmonics with positive spectrum, converging in measure. For convergence almost everywhere this is not true. We discuss several other subsets of Z for which one might get a Menshov type representation converging almost everywhere or in measure.
dc.description4 pages. Announcement of math.CA/0510616. Should be identical to journal version except for the French abstract
dc.identifierhttps://arxiv.org/abs/math/0512003
dc.identifierhttp://arxiv.org/abs/math/0512003
dc.identifierC. R. Acad. Sci. Paris Ser. I Math. 331:3 (2000), 219--222
dc.identifierdoi:10.1016/S0764-4442(00)01616-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106038
dc.subjectClassical Analysis and ODEs
dc.subjectComplex Variables
dc.titleAn "Analytic" Version of Menshov's Representation Theorem
dc.typetext

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