The Farey map exploited in wavelet analysis -- Construction of an associated Farey mother wavelet
arXiv:2006.04186
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.
16, 3 figures