Sharp rate of average decay of the Fourier transform of a bounded set

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dc.creatorBrandolini, L.
dc.creatorHofmann, S.
dc.creatorIosevich, A.
dc.date2003-03-15
dc.date.accessioned2026-07-07T04:56:04Z
dc.date.available2026-07-07T04:56:04Z
dc.descriptionWe prove that the spherical mean of the Fourier transform of the characteristic function of a bounded convex set (without any additional assumptions) or a bounded set with a C^{3/2} boundary decays at infinity at the same rate as the Fourier transform of the characteristic function of the ball.
dc.description10 pages. GAFA (to appear)
dc.identifierhttps://arxiv.org/abs/math/0303188
dc.identifierhttp://arxiv.org/abs/math/0303188
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66797
dc.subjectClassical Analysis and ODEs
dc.subject42B
dc.titleSharp rate of average decay of the Fourier transform of a bounded set
dc.typetext

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