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On the stability by convolution product of a resurgent algebra

Yafei Ou — 2010

Annales de la faculté des sciences de Toulouse Mathématiques

We consider the space of holomorphic functions at the origin which extend analytically on the universal covering of $ℂ ∖ ω ℤ$ , $ω \in ℂ^{☆}$ . We show that this space is stable by convolution product, thus is a resurgent algebra.

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