Two Families of Clifford Distributions Revisited
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929235162038272 |
|---|---|
| author | Brackx, Fred |
| author_facet | Brackx, Fred |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03825 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two Families of Clifford Distributions Revisited Brackx, Fred Classical Analysis and ODEs 46F05, 46F10, 30G35 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. |
| title | Two Families of Clifford Distributions Revisited |
| topic | Classical Analysis and ODEs 46F05, 46F10, 30G35 |
| url | https://arxiv.org/abs/2402.03825 |