1. CMB 2011 (vol 55 pp. 752)
|Approximation of Holomorphic Solutions of a System of Real Analytic Equations|
We prove the existence of an approximation function for holomorphic solutions of a system of real analytic equations. For this we use ultraproducts and Weierstrass systems introduced by J. Denef and L. Lipshitz. We also prove a version of the PÅoski smoothing theorem in this case.
Keywords:Artin approximation, real analytic equations
Categories:13B40, 13L05, 14F12