论文标题

小波分析中利用的福里地图 - 相关的福里母小波的构建

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

论文作者

Arfaoui, Sabrine, Chteoui, Riadh, Mabrouk, Anouar Ben

论文摘要

在目前的工作中,众所周知的Farey地图被利用以汇总一个新的母小波。已经建立了诸如可接受性,时刻,2级关系和重建规则之类的属性。建造的母亲可能是分析双曲线问题(例如双曲线PDES)的好候选者。

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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