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