ArticleOriginal scientific text

Title

A remark on the Lion-Rolin Preparation Theorem for LA-functions

Authors 1, 2

Affiliations

  1. Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
  2. 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

  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.
  2. J.-M. Lion et J.-P. Rolin, Théorème de préparation pour les fonctions logarithmico-exponentielles, Ann. Inst. Fourier (Grenoble) 47 (1997), 859-884.
Pages:
195-197
Main language of publication
English
Received
1998-09-24
Published
1999
Exact and natural sciences