Uncertainty product of the spherical Abel–Poisson wavelet

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.