Entre analyse complexe et superanalyse

Details Entre analyse complexe et superanalyse Entre analyse complexe et superanalyse

2009-10-17

arxiv.org/abs/0910.3326v3

C. R. Acad. Sci. Paris 347, 13-14 (2009) 743-746

Mathematics

Complex Variables

v2 correspond \`a l'article d\'etaill\'e pour une note aux CRAS (v3) parue en 2009

Scientific paper

10.1016/j.crma.2009.04.019

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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