Smooth solutions of quasianalytic or ultraholomorphic equations

Vincent Thilliez

In the first part of this work, we consider a polynomial $\varphi (x,y)=y^d+a_1(x)y^{d-1}+...+a_d(x)$ whose coefficients $a_j$ belong to a Denjoy-Carleman quasianalytic local ring $ \…