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arXiv · 2006.04186

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

Sabrine Arfaoui·Riadh Chteoui·Anouar Ben Mabrouk
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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.

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Sabrine Arfaoui, Riadh Chteoui, Anouar Ben Mabrouk. 2020-06-07. The Farey map exploited in wavelet analysis -- Construction of an associated Farey mother wavelet. https://arxiv.org/abs/2006.04186

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