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math.AP2017
Hypermonogenic solutions and plane waves of the Dirac operator in Rp x Rq
Alí Guzmán Adán, Heikki Orelma, Franciscus Sommen
In this paper we first define hypermonogenic solutions of the Dirac operator in Rp x Rq and study some basic properties, e.g., obtaining a Cauchy integral formula in the unit hemis…
math.AP2007★ 26 cited
Fundamental solutions for the super Laplace and Dirac operators and all their natural powers
Hendrik De Bie, Frank Sommen
The fundamental solutions of the super Dirac and Laplace operators and their natural powers are determined within the framework of Clifford analysis.