Analytic Functions of a Quaternionic Variable
| dc.creator | Schwartz, Charles | |
| dc.date | 2008-03-26 | |
| dc.date | 2008-04-02 | |
| dc.date.accessioned | 2026-07-07T09:29:35Z | |
| dc.date.available | 2026-07-07T09:29:35Z | |
| dc.description | Here we follow the basic analysis that is common for real and complex variables and find how it can be applied to a quaternionic variable. Non-commutativity of the quaternion algebra poses obstacles for the usual manipulations; but we show how many of those obstacles can be overcome. After a tiny bit of linear algebra we look at the beginnings of differential calculus. The surprising result is that the first order term in the expansion of F(x+delta) is a compact formula involving both F'(x) and [F(x) - F(x*)]/(x-x*). | |
| dc.description | 8 pages; added references and added Appendix B on SU(2) | |
| dc.identifier | https://arxiv.org/abs/0803.3782 | |
| dc.identifier | http://arxiv.org/abs/0803.3782 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157835 | |
| dc.subject | Functional Analysis | |
| dc.subject | Complex Variables | |
| dc.title | Analytic Functions of a Quaternionic Variable | |
| dc.type | text |