Jump problem and removable singularities for monogenic functions (Q881438)

In this article the jump problem for monogenic functions (Clifford holomorphicity) on the boundary of a Jordan domain in Euclidean space is investigated. The authors establish some criteria that imply the uniqueness of the terms of a natural analogue of removable singularities in the plane to \(\mathbb{R}^{n+1}\) \((n\geq 2)\). Sufficient conditions to extend monogenically continuous Clifford algebra valued functions across a hypersurface are proved.