Approximation by polynomials in a weighted space of infinitely differentiable functions

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dc.creatorFedotova, P. V.
dc.creatorMusin, I. Kh.
dc.date2005-08-26
dc.date.accessioned2026-07-07T05:22:43Z
dc.date.available2026-07-07T05:22:43Z
dc.descriptionThe density of polynomials in a weighted space of infinitely differentiable functions in a multidimensional real space is proved under minimal conditions on weight functions and on differences between weight functions. We apply this result for description of strong dual for weighted spaces of infinitely differentiable functions on real line and weighted spaces of sequences of infinitely differentiable functions on real line in terms of the Fourier-Laplace transform of functionals.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0508524
dc.identifierhttp://arxiv.org/abs/math/0508524
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76168
dc.subjectClassical Analysis and ODEs
dc.subjectComplex Variables
dc.subject41A10; 30D20; 46E10
dc.titleApproximation by polynomials in a weighted space of infinitely differentiable functions
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