Applications of clifford analysis to axially symmetric partial differential equations

Abstract

The spherical decomposition of harmonic polynomials into solutions of Dirac's equation in R n is used to examine solutions to differential equations defined over axially symmetric domains in R n+1.To some of these cquations we arc ahle to associate systems of Hermite polynomials. We are also ahle to apply analytic continuation techniques to describe certain potentials associated to higher order Dirac operators.