Fundamental Theorems for Clifford Algebra-Valued Distributions in Elliptic Clifford Analysis

dc.contributor.author	Franssens, G.R.
dc.date	2011
dc.date.accessioned	2016-03-29T12:43:51Z
dc.date.available	2016-03-29T12:43:51Z
dc.identifier.uri	https://orfeo.belnet.be/handle/internal/3077
dc.description	A fundamental theorem in Elliptic Clifford Analysis (ECA), with the standard vector Dirac operator, is presented that is valid for Clifford algebra-valued distributions. This theorem holds under fairly general conditions on the allowed singularities of the right-hand side distributions and on the region of integration. Next a specialization of this fundamental theorem is proved that forms the starting point for solving boundary value problems with distributional sources in ECA. Finally, distributional equivalents of the Residue theorem, Cauchy's theorem and Cauchy's integral theorem are stated.
dc.language	eng
dc.title	Fundamental Theorems for Clifford Algebra-Valued Distributions in Elliptic Clifford Analysis
dc.type	Article
dc.subject.frascati	Mathematics
dc.audience	Scientific
dc.source.title	Advances in Applied Clifford Algebras
dc.source.volume	21
dc.source.issue	4
dc.source.page	697-705
Orfeo.peerreviewed	Yes
dc.identifier.doi	10.1007/s00006-011-0283-7
dc.identifier.scopus	2-s2.0-80555136721