The Farey map exploited in wavelet analysis -- Construction of an associated Farey mother wavelet

Autor:	Arfaoui, Sabrine, Chteoui, Riadh, Mabrouk, Anouar Ben
Rok vydání:	2020
Předmět:	Mathematics - Functional Analysis 42C40
Druh dokumentu:	Working Paper
Popis:	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. Comment: 16, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2006.04186 Zobrazit plný text záznamu View this record from Arxiv