Abstract
In this article the jump problem for monogenic functions (Clifford holomorphicity) on the boundary of a Jordan domain in Euclidean spaces is investigated. We shall establish some criteria that imply the uniqueness of the solution in terms of a natural analogue of removable singularities in the plane to ℝn+1 (n ≥ 2). Sufficient conditions to extend monogenically continuous Clifford algebra valued functions across a hypersurface are proved.
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Abreu-Blaya, R., Bory-Reyes, J. & Peña-Peña, D. Jump problem and removable singularities for monogenic functions. J Geom Anal 17, 1–13 (2007). https://doi.org/10.1007/BF02922079
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DOI: https://doi.org/10.1007/BF02922079