Approximation by polynomials in a weighted space of infinitely differentiable functions
Classical Analysis and ODEs
2007-05-23 v1 Complex Variables
Abstract
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.
Cite
@article{arxiv.math/0508524,
title = {Approximation by polynomials in a weighted space of infinitely differentiable functions},
author = {P. V. Fedotova and I. Kh. Musin},
journal= {arXiv preprint arXiv:math/0508524},
year = {2007}
}
Comments
10 pages