On a problem of Kahane in higher dimensions
Classical Analysis and ODEs
2016-11-17 v1
Abstract
We characterise those real analytic mappings between any pair of tori which carry absolutely convergent Fourier series to uniformly convergent Fourier series via composition. We do this with respect to rectangular summation. We also investigate uniform convergence with respect to square sums and highlight the differences which arise.
Keywords
Cite
@article{arxiv.1611.05398,
title = {On a problem of Kahane in higher dimensions},
author = {James Wright},
journal= {arXiv preprint arXiv:1611.05398},
year = {2016}
}
Comments
66 pages