Approximating with Gaussians

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dc.creatorCalcaterra, Craig
dc.creatorBoldt, Axel
dc.date2008-05-25
dc.date.accessioned2026-07-07T09:40:50Z
dc.date.available2026-07-07T09:40:50Z
dc.descriptionLinear combinations of translations of a single Gaussian, e^{-x^2}, are shown to be dense in L^2(R). Two algorithms for determining the coefficients for the approximations are given, using orthogonal Hermite functions and least squares. Taking the Fourier transform of this result shows low-frequency trigonometric series are dense in L^2 with Gaussian weight function.
dc.description16 pages, 23 figures
dc.identifierhttps://arxiv.org/abs/0805.3795
dc.identifierhttp://arxiv.org/abs/0805.3795
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161613
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.subject41A30; 42A32; 42C10
dc.titleApproximating with Gaussians
dc.typetext

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