The Spherical $π$-Operator
| dc.creator | Lakew, Dejenie A. | |
| dc.date | 2008-11-20 | |
| dc.date.accessioned | 2026-07-07T10:19:43Z | |
| dc.date.available | 2026-07-07T10:19:43Z | |
| dc.description | In this article, we define the spherical $π$-operator over domains in the $(n-1)$-D unit sphere $S^n$ of $R^n$ and develop new and analogous results on the operator it self and its mapping properties. We introduce the spherical Dirac operator $Γ_α$ as an $α$- shift of of $Γ_omega$, where $Γ_omega$ is the negative of the wedge (or Grassmann) product of $ω$ with that of the Dirac operator $D_ω$. A gegenbauer polynomial is used as a Cauchy kernel for the spherical Dirac operator $Γ_alpha$. | |
| dc.description | This is a 21 page manuscript on the spherical $π$-operator defined over domains in the standard $(n-1)$-D unit sphere $S^(n-1)$ of $R^n$ | |
| dc.identifier | https://arxiv.org/abs/0811.3257 | |
| dc.identifier | http://arxiv.org/abs/0811.3257 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174608 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 30G35, 35A20, 58J15 | |
| dc.title | The Spherical $π$-Operator | |
| dc.type | text |