A null series with small anti-analytic part

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dc.creatorKozma, Gady
dc.creatorOlevskii, Alexander
dc.date2005-10-19
dc.date.accessioned2026-07-07T06:47:39Z
dc.date.available2026-07-07T06:47:39Z
dc.descriptionWe show that it is possible for a square integrable function on the circle, which is a sum of an almost everywhere convergent series of exponentials with positive frequencies, to not belong to the Hardy space. A consequence in the uniqueness theory is obtained.
dc.description6 pages. Should be identical to journal version except for the French abstract
dc.identifierhttps://arxiv.org/abs/math/0510403
dc.identifierhttp://arxiv.org/abs/math/0510403
dc.identifierC. R. Math. Acad. Sci. Paris 336:6 (2003), 475-478
dc.identifierdoi:10.1016/S1631-073X(03)00097-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103725
dc.subjectClassical Analysis and ODEs
dc.subjectComplex Variables
dc.titleA null series with small anti-analytic part
dc.typetext

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