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Fonctions Holomorphes Cliffordiennes

Guy Laville·Ivan Ramadanoff
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Abstract

Soit R\_{0,2m+1} l'algèbre de Clifford de R^{2m+1} muni d'une forme quadratique de signature négative, D = \sum\_{i=0}^{2m+1} e\_i {\partial\over \partial x\_i}, Δle Laplacien ordinaire. Les fonctions holomorphes Cliffordiennes f sont les fonctions satisfaisant à DΔ^m f = 0. Nous étudions les solutions polynomiales et singulières, les représentations intégrales et leurs conséquences et enfin le fondement de la théorie des fonctions elliptiques Cliffordiennes.

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Guy Laville, Ivan Ramadanoff. 2005-02-03. Fonctions Holomorphes Cliffordiennes. https://arxiv.org/abs/math/0502071

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