Vanishing Moments of Wavelets on p-adic Fields

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发表日期：

2024年12月7日

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N. Athira,
M. C. Lineesh

摘要

A study on the vanishing moments of wavelets on p-adic fields is carried out in this paper. The p-vanishing moments and discrete p-vanishing moments are defined on a p-adic field and the relation between them is investigated. The p-vanishing moments of Haar-type and non-Haar type wavelet functions are computed. Also, the connection between p-vanishing moment of non-Haar type wavelet functions and the approximation order of the indicator function of the compact open subgroup $ B_{0}(0) $ $B_{0} (0)$ of $ {\mathbb {Q}}_{p} $ $Q_{p}$ are established. A characterization of the p-vanishing moments of nonorthogonal wavelets is done.