Abstract: Introducing a quaternionic structure on Euclidean space, the fundaments for quaternionic and symplectic Clifford analysis are studied in detail from the viewpoint of invariance for the symplectic group action.
|Subjects:||Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA); Representation Theory (math.RT)|
|MSC classes:||30G35, 22E60|
Source: Email from F. Brackx, 14 Mar. 2014 (fb_AT_cage.ugent.be), http://arxiv.org/abs/1403.2922