Power substitution in quasianalytic Carleman classes.
Date(s) : 25/04/2019 iCal
14h00 - 15h00
In this talk, I will consider power substitutions in quasianalytic Carleman classes, i.e. equations of the form f(x)=g(x^k), where k>1 is an integer and f is a given function in a quasianalytic Carleman class. I will show that if g happens to be a smooth function, then g belongs to a quasianalytic class completely characterized in terms of bounds on the derivatives of g.
The talk is based on joint work with L. Buhovski and S. Sodin.
http://www.researchgate.net/profile/Avner_Kiro
Catégories Pas de Catégories
