Holomorphic Cliffordian Functions

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dc.creatorLaville, Guy
dc.creatorRamadanoff, Ivan
dc.date2005-02-03
dc.date.accessioned2026-07-07T05:16:39Z
dc.date.available2026-07-07T05:16:39Z
dc.descriptionThe aim of this paper is to put the fundations of a new theory of functions, called holomorphic Cliffordian, which should play an essential role in the generalization of holomorphic functions to higher dimensions. Let R\_{0,2m+1} be the Clifford algebra of R^{2m+1} with a quadratic form of negative signature, D = \sum\_{j=0}^{2m+1} e\_j {\partial\over \partial x\_j} be the usual operator for monogenic functions and $Δ$ the ordinary Laplacian. The holomorphic Cliffordian functions are functions f : \R^{2m+2} \fle \R\_{0,2m+1}, which are solutions of D Δ^m f = 0
dc.identifierhttps://arxiv.org/abs/math/0502066
dc.identifierhttp://arxiv.org/abs/math/0502066
dc.identifierAdvances in Clifford algebras 8 (1998) 2, 323-340
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74065
dc.subjectComplex Variables
dc.titleHolomorphic Cliffordian Functions
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