The Farey map exploited in wavelet analysis -- Construction of an associated Farey mother wavelet
Functional Analysis
2020-06-09 v1
Abstract
In the present work the well known Farey map is exploited to consruct a new mother wavelet. Properties such as admissibility, moments, 2-scale relation and reconstruction rule have been established. The constructed mother may be a good candidate to analyze hyperbolic problems such as hyperbolic PDEs.
Cite
@article{arxiv.2006.04186,
title = {The Farey map exploited in wavelet analysis -- Construction of an associated Farey mother wavelet},
author = {Sabrine Arfaoui and Riadh Chteoui and Anouar Ben Mabrouk},
journal= {arXiv preprint arXiv:2006.04186},
year = {2020}
}
Comments
16, 3 figures