Rapidly growing Fourier integrals

dc.creatorTalvila, Erik
dc.date2001-01-02
dc.date.accessioned2026-07-07T04:39:28Z
dc.date.available2026-07-07T04:39:28Z
dc.descriptionThe Riemann-Lebesgue Lemma says that the Fourier transform of an absolutely integrable function on the real line tends to zero as the transform parameter tends to infinity. When the integral is allowed to converge conditionally, the transform can have arbitrarily rapid pointwise growth as the transform parameter tends to infinity. Smoothness of the function to be transformed need not decrease growth of the transform.
dc.identifierhttps://arxiv.org/abs/math/0101013
dc.identifierhttp://arxiv.org/abs/math/0101013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60677
dc.subjectClassical Analysis and ODEs
dc.subject42A38
dc.titleRapidly growing Fourier integrals
dc.typetext

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