The H\"older exponent of some Fourier series
Classical Analysis and ODEs
2015-04-21 v1
Abstract
In this paper we study the local regularity of fractional integrals of Fourier series using several definitions of the H\"older exponent. We especially consider series coming from fractional integrals of modular forms. Our results show that in general cusp forms give rise to pure fractals (as opposed to multifractals). We include explicit examples and computer plots.
Keywords
Cite
@article{arxiv.1504.04998,
title = {The H\"older exponent of some Fourier series},
author = {Fernando Chamizo and Izabela Petrykiewicz and Serafín Ruiz-Cabello},
journal= {arXiv preprint arXiv:1504.04998},
year = {2015}
}
Comments
18 pages, 6 pdf figures, uses .bbl file