A New Dolbeault Complex in Quaternionic and Clifford Analysis

Authors

Fabrizio Colombo, Politecnico di Milano
Alberto Damiano, George Mason UniversityFollow
Irene Sabadini, Politecnico di Milano
Daniele C. Struppa, Chapman UniversityFollow

Document Type

Article

Publication Date

2005

Abstract

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.

Comments

This article was originally published in Proceedings Fifth ISAAC Congress, Catania in 2005.

Recommended Citation

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

Peer Reviewed

1