On Riesz distributions and integer powers of the Dirac operator on the hyperbolic unit ball

Author: Eelbode D.  

Publisher: Taylor & Francis Ltd

ISSN: 0278-1077

Source: Complex Variables, Vol.49, Iss.15, 2004-12, pp. : 1093-1106

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Abstract

In this article the Dirac operator is defined on the m-dimensional hyperbolic unit ball and a fundamental solution for integer powers of this operator is determined, using Riesz's distributions. This fundamental solution is then expressed in terms of Gegenbauer functions of the second kind.