球面小波的不确定乘积

Pub Date : 2018-04-06 DOI:10.2206/kyushujm.71.407

I. Iglewska-Nowak

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引用次数: 7

摘要

本文计算了一类球面小波的不确定性积的渐近性质。该家族包含最流行的小波，如高斯-韦尔斯特拉斯小波、阿贝尔-泊松小波和泊松小波以及墨西哥针波。不确定常数的有界性一般没有给出，但它是本类中某些小波的一个性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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ON THE UNCERTAINTY PRODUCT OF SPHERICAL WAVELETS

In the paper, asymptotic behavior of the uncertainty product for a family of zonal spherical wavelets is computed. The family contains the most popular wavelets, such as Gauss-Weierstrass, Abel-Poisson and Poisson wavelets and Mexican needlets. Boundedness of the uncertainty constant is in general not given, but it is a property of some of the wavelets from this class.

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