@article{69dfbfbe277f46da965ae69b761212c0,
title = "Jump problem and removable singularities for monogenic functions",
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 R n+1 (n ≥ 2). Sufficient conditions to extend monogenically continuous Clifford algebra valued functions across a hypersurface are proved.",
keywords = "Canchy transform, Clifford analysis, removable singularities",
author = "Ricardo Abreu-Blaya and Juan Bory-Reyes and Dixan Pe{\~n}a-Pe{\~n}a",
note = "Funding Information: The research carried out in this article was initiated while the third author was visiting the Department of Mathematics, Universidad de Oriente, Santiago de Cuba. It was completed during his stay as a PhD-student at the Department of Mathematical Analysis, Clifford Research Group, Ghent University, supported by a Doctoral Grant of the Special Research Fund of Ghent University. He would like to express his sincere gratitude.",
year = "2007",
doi = "10.1007/BF02922079",
language = "Ingl{\'e}s",
volume = "17",
pages = "1--13",
journal = "Journal of Geometric Analysis",
issn = "1050-6926",
number = "1",
}