Divergence of wavelet series: A multifractal analysis
Functional Analysis
2017-01-12 v1
Abstract
We show the relevance of a multifractal-type analysis for pointwise convergence and divergence properties of wavelet series: Depending on the sequence space which the wavelet coefficients sequence belongs to, we obtain deterministic upper bounds for the Hausdorff dimensions of the sets of points where a given rate of divergence occurs, and we show that these bounds are generically optimal, according to several notions of genericity.
Keywords
Cite
@article{arxiv.1701.02982,
title = {Divergence of wavelet series: A multifractal analysis},
author = {Céline Esser and Stéphane Jaffard},
journal= {arXiv preprint arXiv:1701.02982},
year = {2017}
}