Abstract
In this note some integral formulae for complex left regular mappings and for solutions of the complex Laplace equation are presented.These integral formulae are of two types (elliptic and hyperbolic) and there is a general procedure (described by V.Soucek and M. Dodson for the Laplace equation in [3]) to transform one type into another, namely the Leray residue formula.In this way it is possible to derive from integral formulae in Clifford analysis e.g.Riesz’ integral formula for the solution of the wave equation in the Minkowski space and Penrose’s integral formula for a spin-1/2 massless field. There are good hopes that the new integral formula of hyperbolic type can be used to give further information on left regular mappings and spinor fields.
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