Some results related to the Logvinenko-Sereda theorem

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dc.creatorKovrizhkin, Oleg
dc.date2000-12-19
dc.date.accessioned2026-07-07T04:39:18Z
dc.date.available2026-07-07T04:39:18Z
dc.descriptionWe prove several results related to the theorem of Logvinenko and Sereda on determining sets for functions with Fourier transforms supported in an interval. We obtain a polynomial instead of exponential bound in this theorem, and we extend it to the case of functions with Fourier transforms supported in the union of a bounded number of intervals. The same results hold in all dimensions.
dc.descriptionto appear in PAMS
dc.identifierhttps://arxiv.org/abs/math/0012186
dc.identifierhttp://arxiv.org/abs/math/0012186
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60610
dc.subjectClassical Analysis and ODEs
dc.subjectAnalysis of PDEs
dc.subject42
dc.titleSome results related to the Logvinenko-Sereda theorem
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