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arXiv 1806.07883math.CA
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球面Abel-Poisson小波的不确定性积

Uncertainty product of the spherical Abel-Poisson wavelet

Ilona Iglewska-Nowak

摘要:

本文计算了球面Abel-Poisson小波在空间域和动量域的方差,以及$ρ\to0$(其中$ρ$是尺度参数)的不确定性积的极限。这些量的值与用$\tfrac{1}{2}$代替序参数的球面泊松小波的值具有一定的精度。

英文摘要:

In the present paper, the variances in the space and momentum domains of the spherical Abel-Poisson wavelet, as well as the limit of the uncertainty product for $ρ\to0$, where $ρ$ is the scale parameter, are computed. The values of these quantities coincide with a certain accuracy with those of the spherical Poisson wavelet with $\tfrac{1}{2}$ substituted for the order parameter.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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