Conformally covariant operators in Clifford analysis (Q1909622)

Summary: Following recent work of \textit{J. Peetre} and \textit{J. T. Qian} [J. Aust. Math. Soc., Ser. A 56, No. 3, 403--414 (1994; Zbl 1043.31500)], the conformal covariance of convolution operators involving the fundamental solutions to iterates of the Dirac operator in Euclidean space is described using Vahlen matrices. This conformal covariance is applied to a number of problems, including Dirichlet problems over unbounded domains.