ArticleOriginal scientific text
Title
A remark on the Lion-Rolin Preparation Theorem for LA-functions
Authors 1, 2
Affiliations
- Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
- Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland
Abstract
A correct formulation of the Lion-Rolin Preparation Theorem for logarithmic-subanalytic functions (LA-functions) is given.
Keywords
subanalytic function, logarithmic-subanalytic function, reducible
Bibliography
- 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.
- J.-M. Lion et J.-P. Rolin, Théorème de préparation pour les fonctions logarithmico-exponentielles, Ann. Inst. Fourier (Grenoble) 47 (1997), 859-884.