paper

Entre analyse complexe et superanalyse

arXiv:0910.3326 · doi:10.1016/j.crma.2009.04.019

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.

v2 correspond à l'article détaillé pour une note aux CRAS (v3) parue en 2009