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Journal Articles Funkcialaj ekvacioj.Serio internacia Year : 2013

On the stability under convolution of resurgent functions

David Sauzin

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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Dates and versions

hal-00656739 , version 1 (05-01-2012)
hal-00656739 , version 2 (28-04-2012)
hal-00656739 , version 3 (06-05-2012)
hal-00656739 , version 4 (12-11-2012)

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