Oscillation of Fourier Integrals with a spectral gap

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dc.creatorEremenko, A.
dc.creatorNovikov, D.
dc.date2003-01-07
dc.date.accessioned2026-07-07T04:54:18Z
dc.date.available2026-07-07T04:54:18Z
dc.descriptionSuppose that Fourier transform of a function f is zero on the interval [-a,a]. We prove that the lower density of sign changes of f is at least a/pi, provided that f is a locally integrable temperate distribution in the sense of Beurling, with non-quasianalytic weight. We construct an example showing that the last condition cannot be omitted.
dc.description1 Figure
dc.identifierhttps://arxiv.org/abs/math/0301060
dc.identifierhttp://arxiv.org/abs/math/0301060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66200
dc.subjectClassical Analysis and ODEs
dc.subjectComplex Variables
dc.subject42A38 46F12 46F20
dc.titleOscillation of Fourier Integrals with a spectral gap
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