A directional uncertainty principle for periodic functions
Functional Analysis
2018-08-30 v2
Abstract
In this paper we introduce a notion of a directional uncertainty product for multivariate periodic functions. It measures a localization of a function along a particular direction. We study properties of the uncertainty product and give an example of well localized multivariate periodic Parseval wavelet frames.
Cite
@article{arxiv.1703.06473,
title = {A directional uncertainty principle for periodic functions},
author = {A. Krivoshein and E. Lebedeva and J. Prestin},
journal= {arXiv preprint arXiv:1703.06473},
year = {2018}
}