2005/08/26 by P. V. Fedotova, Fedotova, P. V., I. Kh. Musin +1
Mathematics · #30D20 #41A10 #46E10 #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Approximation and Integration #advanced mathematical theories #math.CA #math.CV #msc:30D20 #msc:41A10 #msc:46E10
paper · pdf · doi:10.48550/arxiv.math/0508524
10 pages
arxiv created 2005/08/26 · openalex publication_date 2005/08/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The 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.