Solutions of generalized Cauchy-Riemann equations in Clifford analysis

Complex analysis in the plane studies solutions of a 2x2 system of partial differential equations, called Cauchy-Riemann equations, splitting the Laplacian. Clifford analysis provides a generalization of this system to higher dimension and is nowadays a well-established function theory. This project studies a modification of it by considering transformations of the Cauchy-Riemann equations which split a non-scalar second order operator.