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arXiv · 1806.07883

Uncertainty product of the spherical Abel-Poisson wavelet

Ilona Iglewska-Nowak
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Abstract

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 $\rho\to0$, where $\rho$ 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.

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Ilona Iglewska-Nowak. 2018-06-20. Uncertainty product of the spherical Abel-Poisson wavelet. https://arxiv.org/abs/1806.07883

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