Resumen de A mi-chemin entre analyse complexe et superanalyse

Pierre Bonneau, Anne Cumenge

• In the framework of superanalysis we get a functions theory close to complex analysis, under a suitable condition (A) on the real superalgebras in consi- deration (this condition is a generalization of the classical relation 1 + i2 = 0 in C).

  Under the condition (A), we get an integral representation formula for the super- di erentiable functions. We deduce properties of the superdi erentiable functions:

  analyticity, a result of separated superdi erentiability, a Liouville theorem and a continuation theorem of Hartogs-Bochner type.