Two Families of Clifford Distributions Revisited

Abstract

Two specific families of distributions in harmonic and Clifford analysis are further studied through a spherical co-ordinates approach. In particular actions involving spherical co-ordinates, such as the radial derivative and the multiplication and division by the radial distance, are computed, giving rise to two families of so--called signumdistributions, i.e. bounded linear functionals on a space of test functions showing a singularity at the origin.