A mi-chemin entre analyse complexe et superanalyse
- Autores: Pierre Bonneau, Anne Cumenge
- Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 56, Nº 1, 2012, págs. 3-40
- Idioma: inglés
- DOI: 10.5565/publmat_56112_01
- Enlaces
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Resumen
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.
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