The Farey map exploited in wavelet analysis -- Construction of an associated Farey mother wavelet
Sabrine Arfaoui, Riadh Chteoui, Anouar Ben Mabrouk · arXiv (Cornell University) · 2020
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.