A Surjectivity theorem for Differential Operators on Spaces of Regular Functions

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

In this article we show that it is possible to construct a Koszul-type complex for maps given by suitable pairwise commuting matrices of polynomials. This result has applications to surjectivity theorems for constant coefficients differential operators of finite and infinite order. In particular, we construct a large class of constant coefficients differential operators which are surjective on the space of regular (or monogenic) functions on open convex sets.

Comments

This article was originally published in Complex Variables, Theory and Application: An International Journal, volume 50, issue 6, in year. DOI: 10.1080/02781070500132679

Recommended Citation

Colombo, F., Damiano, A., Sabadini, I., & Struppa, D.C., (2005). A surjectivity theorem for differential operators on spaces of regular functions. Complex Variables, Theory and Application: An International Journal, 50(6), 389-400. doi: 10.1080/02781070500132679

Peer Reviewed

1

Copyright

Taylor & Francis