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arXiv · 1804.03046

Uncertainty product of spherical wavelets

Ilona Iglewska-Nowak
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Abstract

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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Ilona Iglewska-Nowak. 2018-04-06. Uncertainty product of spherical wavelets. https://doi.org/10.2206/kyushujm.71.407

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