Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 14 (2005) no. 4, pp. 593-608. 
@article{AFST_2005_6_14_4_593_0,
     author = {Balser, Werner},
     title = {Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {593--608},
     publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques},
     address = {Toulouse},
     volume = {Ser. 6, 14},
     number = {4},
     year = {2005},
     mrnumber = {2188584},
     zbl = {1105.35024},
     language = {en},
     url = {http://archive.numdam.org/item/AFST_2005_6_14_4_593_0/}
}
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Balser, Werner. Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 14 (2005) no. 4, pp. 593-608. http://archive.numdam.org/item/AFST_2005_6_14_4_593_0/

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