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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.CV2017★ 2 cited
Cauchy-Riemann Operators in Octonionic Analysis
Janne Kauhanen, Heikki Orelma
In this paper we first recall the definition of an octonion algebra and its algebraic properties. We derive the so called -calculus and using it we obtain the list of generali…