English

On the stability under convolution of resurgent functions

Dynamical Systems 2014-06-27 v4

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.

Keywords

Cite

@article{arxiv.1201.1073,
  title  = {On the stability under convolution of resurgent functions},
  author = {David Sauzin},
  journal= {arXiv preprint arXiv:1201.1073},
  year   = {2014}
}

Comments

18 pages

R2 v1 2026-06-21T20:00:31.108Z