Uncertainty product of the spherical Abel–Poisson wavelet
Volume 46 / 2019
Applicationes Mathematicae 46 (2019), 265-274
MSC: Primary 42C40.
DOI: 10.4064/am2366-2-2019
Published online: 31 May 2019
Abstract
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.
