Title

On the Quaternionic Weyl Algebra

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

Peer Reviewed

1

Copyright

Springer