Fundaments of Quaternionic Clifford Analysis I

• DOI: 10.48550/arxiv.1403.2922
• Publication Date: 2014-01-01
• Authors: Brackx, Fred; De Schepper, Hennie; Eelbode, David; Lavicka, Roman; Soucek, Vladimir
• Keywords: Mathematics - Analysis of PDEs; Mathematics - Classical Analysis and ODEs; 30G35, 22E60; Classical Analysis and ODEs (math.CA); FOS: Mathematics; 0101 mathematics; Representation Theory (math.RT); 01 natural sciences; Mathematics - Representation Theory; Analysis of PDEs (math.AP)

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.