English

Two Families of Clifford Distributions Revisited

Classical Analysis and ODEs 2024-02-07 v1

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.

Keywords

Cite

@article{arxiv.2402.03825,
  title  = {Two Families of Clifford Distributions Revisited},
  author = {Fred Brackx},
  journal= {arXiv preprint arXiv:2402.03825},
  year   = {2024}
}