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Uncertainty product of spherical wavelets

Published 6 Apr 2018 in math.CA, math-ph, and math.MP | (1804.03046v1)

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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