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- aggregation classification "A1".
- aggregation creator person.
- aggregation creator person.
- aggregation creator person.
- aggregation date "2009".
- aggregation hasFormat 920687.bibtex.
- aggregation hasFormat 920687.csv.
- aggregation hasFormat 920687.dc.
- aggregation hasFormat 920687.didl.
- aggregation hasFormat 920687.doc.
- aggregation hasFormat 920687.json.
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- aggregation hasFormat 920687.mods.
- aggregation hasFormat 920687.rdf.
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- aggregation hasFormat 920687.xls.
- aggregation hasFormat 920687.yaml.
- aggregation isPartOf urn:issn:0188-7009.
- aggregation language "eng".
- aggregation subject "Mathematics and Statistics".
- aggregation title "The Hermitean Hilbert-Dirac connection".
- aggregation abstract "Hermitean Clifford analysis is a recent branch of Clifford analysis, refining the Euclidean case; it focusses on the simultaneous null solutions, called Hermitean monogenic functions, of two complex Dirac operators which are invariant under the action of the unitary group. The specificity of the framework, introduced by means of a complex structure creating a Hermitean space, forces the underlying vector space to be even dimensional. Thus, any Hilbert convolution kernel in R-2n should originate from the non-tangential boundary limits of a corresponding Cauchy kernel in R2n+2. In this paper we show that the difficulties posed by this inevitable dimensional jump can be overcome by following a matrix approach. The resulting matrix Hermitean Hilbert transform also gives rise, through composition with the matrix Dirac operator, to a Hermitean Hilbert-Dirac convolution operator "factorizing" the Laplacian and being closely related to Riesz potentials.".
- aggregation authorList BK767893.
- aggregation endPage "224".
- aggregation issue "2".
- aggregation startPage "211".
- aggregation volume "19".
- aggregation isDescribedBy 920687.
- aggregation similarTo s00006-009-0150-y.
- aggregation similarTo LU-920687.