On the structure of solutions of the Moisil-Théodoresco system in Euclidean space (Q1027959)

The authors work with a generalization in \(\mathbb R^{n+1}\) of the classical Moisil-Theodoresco system in \(\mathbb R^3\). They first show that some basic systems of first order linear partial differential equations occur within the framework of Clifford analysis. Based on techniques and results concerning conjugate harmonic functions in this framework, they prove a structure theorem for the solutions of the generalized Moisil-Theodoresco system.