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Uncertainty product of the spherical Abel–Poisson wavelet

Tom 46 / 2019

I. Iglewska-Nowak Applicationes Mathematicae 46 (2019), 265-274 MSC: Primary 42C40. DOI: 10.4064/am2366-2-2019 Opublikowany online: 31 May 2019

Streszczenie

The space and momentum variances of the spherical Abel–Poisson wavelet, as well as the limit of the uncertainty product as $\rho \to 0$, where $\rho $ is a scale parameter, are computed. The values of these quantities coincide with a certain accuracy with those of the spherical Poisson wavelet with ${1/2}$ substituted for the order parameter.

Autorzy

  • I. Iglewska-NowakSchool of Mathematics
    West Pomeranian University of Technology, Szczecin
    al. Piastów 17
    70-310 Szczecin, Poland
    e-mail

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