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A mi-chemin entre analyse complexe et superanalyse
Bonneau, Pierre
Cumenge, Anne

Date: 2012
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 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.
Rights: Tots els drets reservats
Language: Francès.
Document: article ; recerca ; publishedVersion
Subject: Superspace ; Superdiferentiable function ; Integral representation ; Super-analysis
Published in: Publicacions matemàtiques, Vol. 56, Núm. 1 ( 2012) , p. 3-40, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_56112_01

38 p, 497.7 KB

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 Record created 2011-12-22, last modified 2015-07-15

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