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arXiv · 1007.0819

A mi-chemin entre analyse complexe et superanalyse

Pierre Bonneau·Anne Cumenge
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Abstract

In the framework of superanalysis we get a functions theory close to complex analysis, under a suitable condition (A) on the real superalgebras in consideration (this condition is a generalization of the classical relation 1 + i^2 = 0 in C). Under the condition (A), we get an integral representation formula for the superdifferentiable functions.We give a result of Hartogs type of separated superdifferentiability, a continuation theorem of Hartogs-Bochner type and a Liouville theorem for the superdifferentiable functions.

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Pierre Bonneau, Anne Cumenge. 2010-07-06. A mi-chemin entre analyse complexe et superanalyse. https://doi.org/10.5565/publmat_56112_01

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