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The Littlewood problem and non-harmonic Fourier series

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorJAMING, Philippe
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorKELLAY, Karim
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorSABA, Chadi
dc.date.accessioned2024-04-04T02:33:36Z
dc.date.available2024-04-04T02:33:36Z
dc.date.created2023
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190496
dc.description.abstractEnIn this paper, we give a direct quantitative estimate of $L^1$norms of non-harmonic trigonometric polynomials over large enough intervals. This extends the result by Konyagin and Mc Gehee, Pigno, Smith to the settingof trigonometric polynomials with non-integer frequencies.The result is a quantitative extension of a result by Nazarov and also covers a resultby Hudson and Leckband when the length of the interval goes to infinity.
dc.language.isoen
dc.title.enThe Littlewood problem and non-harmonic Fourier series
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Analyse classique [math.CA]
dc.identifier.arxiv2303.10919
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-04033535
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04033535v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=JAMING,%20Philippe&KELLAY,%20Karim&SABA,%20Chadi&rft.genre=preprint


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