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On the stability under convolution of resurgent functions

Abstract : This article contains a self-contained proof of the stability under convolution of the space of resurgent functions associated with a closed discrete subset of the complex plane (the set of possible singularities), under the assumption that this set be stable under addition.
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https://hal.archives-ouvertes.fr/hal-00656739
Contributor : David Sauzin <>
Submitted on : Monday, November 12, 2012 - 7:55:08 PM
Last modification on : Monday, December 14, 2020 - 9:12:02 AM
Long-term archiving on: : Wednesday, February 13, 2013 - 3:47:42 AM

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David Sauzin. On the stability under convolution of resurgent functions. Funkcialaj ekvacioj.Serio internacia, Japana Matematika Societo, 2013, 56 (3), pp.397--413. ⟨10.1619/fesi.56.397⟩. ⟨hal-00656739v4⟩

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