Fourier series windowed by a bump function
Classical Analysis and ODEs
2020-06-11 v2
Abstract
We study the Fourier transform windowed by a bump function. We transfer Jackson's classical results on the convergence of the Fourier series of a periodic function to windowed series of a not necessarily periodic function. Numerical experiments illustrate the obtained theoretical results.
Keywords
Cite
@article{arxiv.1901.04365,
title = {Fourier series windowed by a bump function},
author = {Paul Bergold and Caroline Lasser},
journal= {arXiv preprint arXiv:1901.04365},
year = {2020}
}
Comments
Version 2: Additional references and some corrections to Version 1