A correct formulation of the Lion-Rolin Preparation Theorem for logarithmic-subanalytic functions (LA-functions) is given.
@article{bwmeta1.element.bwnjournal-article-apmv71z2p195bwm,
author = {Wies\l aw Paw\l ucki and Artur Pi\k ekosz},
title = {A remark on the Lion-Rolin Preparation Theorem for LA-functions},
journal = {Annales Polonici Mathematici},
volume = {72},
year = {1999},
pages = {195-197},
zbl = {0948.32013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv71z2p195bwm}
}
Wiesław Pawłucki; Artur Piękosz. A remark on the Lion-Rolin Preparation Theorem for LA-functions. Annales Polonici Mathematici, Tome 72 (1999) pp. 195-197. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv71z2p195bwm/
[000] [1] L. van den Dries, A. Macintyre and D. Marker, The elementary theory of restricted analytic fields with exponentiation, Ann. of Math. 140 (1994), 183-205. | Zbl 0837.12006
[001] [2] J.-M. Lion et J.-P. Rolin, Théorème de préparation pour les fonctions logarithmico-exponentielles, Ann. Inst. Fourier (Grenoble) 47 (1997), 859-884. | Zbl 0873.32004