Continuous functions with universally divergent Fourier series on small subsets of the circle
Classical Analysis and ODEs
2015-05-20 v1
Abstract
It is shown that quasi all continuous functions on the unit circle have the property that, for many small subsets E of the circle, the partial sums of their Fourier series considered as functions restricted to E exhibit certain universality properties.
Cite
@article{arxiv.1010.3527,
title = {Continuous functions with universally divergent Fourier series on small subsets of the circle},
author = {Juergen Mueller},
journal= {arXiv preprint arXiv:1010.3527},
year = {2015}
}
Comments
6 pages