On the Quaternionic Weyl Algebra

Authors

Irene Sabadini, Politecnico di Milano
Daniele C. Struppa, Chapman UniversityFollow

Document Type

Article

Publication Date

2001

Abstract

In this paper we introduce the notion of quaternionic Weyl algebra A 1 (ℍ) and we study its main properties. We give some examples of A 1 (ℍ)-modules useful in the resolution of systems of differential equations whose linear differential operators are in A 1 (ℍ). We also introduce a notion of Fourier transform that is an isomorphism of A 1 (ℍ).

Comments

This article was originally published in Advances in Applied Clifford Algebras, volume 11, issue 1, in year. DOI: 10.1007/BF03042214

Recommended Citation

Sabadini, I., & Struppa, D. C. (2001). On the quaternionic Weyl algebra. Advances in Applied Clifford Algebras, 11(1), 147-158. doi: 10.1007/BF03042214

Peer Reviewed

1

Copyright

Springer