Analytic cliffordian functions

dc.creatorLaville, Guy
dc.creatorLehman, Eric
dc.date2005-02-04
dc.date.accessioned2026-07-07T05:16:42Z
dc.date.available2026-07-07T05:16:42Z
dc.descriptionIn classical function theory, a function is holomorphic if and only if it is complex analytic. For higher dimensional spaces it is natural to work in the context of Clifford algebras. The structures of these algebras depend on the parity of the dimension n of the underlying vector space. The theory of holomorphic Cliffordian functions reflects this dependence. In the case of odd n the space of functions is defined by an operator (the Cauchy-Riemann equation) but not in the case of even $n$. For all dimensions the powers of identity (z^n, x^n) are the foundation of function theory.
dc.identifierhttps://arxiv.org/abs/math/0502090
dc.identifierhttp://arxiv.org/abs/math/0502090
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74084
dc.subjectComplex Variables
dc.subjectAMS: 30 G 35, 15 A 66
dc.titleAnalytic cliffordian functions
dc.typetext

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