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

preprint2020arXivOpen access

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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