A New Dolbeault Complex in Quaternionic and Clifford Analysis
The papers introduces a new complex of differential forms which provides a fine resolution for the sheaf of regular functions in two quaternionic variables and the sheaf of monogenic functions in two vector variables. The paper announces some applications of this complex to the construction of sheaves of quaternionic and Clifford hyperfunctions as equivalence classes of such differential forms.
Colombo, F., Damiano, A., Sabadini, I., & Struppa, D.C. (2005). A new Dolbeault Complex in Quaternionic and Clifford Analysis. Proceedings Fifth ISAAC Congress, Catania. Retrieved from http://www.karlin.mff.cuni.cz/~damiano/pubs/newdolbeault.pdf