Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
ON THE UNCERTAINTY PRODUCT OF SPHERICAL WAVELETS
Ilona IGLEWSKA-NOWAK
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2017 年 71 巻 2 号 p. 407-416

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In this 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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© 2017 Faculty of Mathematics, Kyushu University
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