Fonctions multisommables
Annales de l'Institut Fourier, Tome 42 (1992) no. 1-2, p. 353-368
La notion de multisommabilité intervient dans la théorie des équations différentielles lorsque des exponentielles d’ordres différents se mélangent. Elle a été introduite par J. Écalle et étudié récemment par plusieurs auteurs. On en donne ici une définition simple, qui fait uniquement intervenir des propriétés de décroissance exponentielle.
The notion of multisummability is relevant to the theory of differential equations when exponentials of different orders are mixed-up. It has been introduced by J. Ecalle, and studied recently by several authors. Here, we give a simple definition, in which are only used properties of exponential decay.
@article{AIF_1992__42_1-2_353_0,
     author = {Malgrange, Bernard and Ramis, Jean-Pierre},
     title = {Fonctions multisommables},
     journal = {Annales de l'Institut Fourier},
     publisher = {Imprimerie Louis-Jean},
     address = {Gap},
     volume = {42},
     number = {1-2},
     year = {1992},
     pages = {353-368},
     doi = {10.5802/aif.1295},
     zbl = {0759.34007},
     mrnumber = {93e:40007},
     language = {fr},
     url = {http://www.numdam.org/item/AIF_1992__42_1-2_353_0}
}
Malgrange, Bernard; Ramis, Jean-Pierre. Fonctions multisommables. Annales de l'Institut Fourier, Tome 42 (1992) no. 1-2, pp. 353-368. doi : 10.5802/aif.1295. http://www.numdam.org/item/AIF_1992__42_1-2_353_0/

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