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arXiv · 0910.3326

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. Under the condition (A), we get an integral representation formula for the superdifferentiable functions.We give a result of Hartogs type of separated superdifferentiability and a continuation theorem of Hartogs-Bochner type for the superdifferentiable functions.

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Pierre Bonneau, Anne Cumenge. 2012-01-03. Entre analyse complexe et superanalyse. https://doi.org/10.1016/j.crma.2009.04.019

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