On the stability by convolution product of a resurgent algebra
Yafei Ou[1]
- [1] UNAM Université d’Angers, UMR CNRS 6093, 2 Boulevard Lavoisier, 49045 Angers Cedex 01, France
Annales de la faculté des sciences de Toulouse Mathématiques (2010)
- Volume: 19, Issue: 3-4, page 687-705
- ISSN: 0240-2963
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topOu, Yafei. "On the stability by convolution product of a resurgent algebra." Annales de la faculté des sciences de Toulouse Mathématiques 19.3-4 (2010): 687-705. <http://eudml.org/doc/115876>.
@article{Ou2010,
abstract = {We consider the space of holomorphic functions at the origin which extend analytically on the universal covering of $\{\mathbb\{C\}\}\setminus \{\omega \{\mathbb\{Z\}\}\}$, $ \omega \in \{\mathbb\{C\}\}^\star $. We show that this space is stable by convolution product, thus is a resurgent algebra.},
affiliation = {UNAM Université d’Angers, UMR CNRS 6093, 2 Boulevard Lavoisier, 49045 Angers Cedex 01, France},
author = {Ou, Yafei},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {universal covering of ; convolution},
language = {eng},
number = {3-4},
pages = {687-705},
publisher = {Université Paul Sabatier, Toulouse},
title = {On the stability by convolution product of a resurgent algebra},
url = {http://eudml.org/doc/115876},
volume = {19},
year = {2010},
}
TY - JOUR
AU - Ou, Yafei
TI - On the stability by convolution product of a resurgent algebra
JO - Annales de la faculté des sciences de Toulouse Mathématiques
PY - 2010
PB - Université Paul Sabatier, Toulouse
VL - 19
IS - 3-4
SP - 687
EP - 705
AB - We consider the space of holomorphic functions at the origin which extend analytically on the universal covering of ${\mathbb{C}}\setminus {\omega {\mathbb{Z}}}$, $ \omega \in {\mathbb{C}}^\star $. We show that this space is stable by convolution product, thus is a resurgent algebra.
LA - eng
KW - universal covering of ; convolution
UR - http://eudml.org/doc/115876
ER -
References
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