Entre analyse complexe et superanalyse
Complex Variables
2012-01-04 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0910.3326,
title = {Entre analyse complexe et superanalyse},
author = {Pierre Bonneau and Anne Cumenge},
journal= {arXiv preprint arXiv:0910.3326},
year = {2012}
}
Comments
v2 correspond \`a l'article d\'etaill\'e pour une note aux CRAS (v3) parue en 2009