| Data: |
2012 |
| Resum: |
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. |
| Drets: |
Tots els drets reservats.  |
| Llengua: |
Francès |
| Document: |
Article ; recerca ; Versió publicada |
| Matèria: |
Superspace ;
Superdiferentiable function ;
Integral representation ;
Super-analysis |
| Publicat a: |
Publicacions matemàtiques, Vol. 56, Núm. 1 ( 2012) , p. 3-40, ISSN 2014-4350 |
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