A link between Denjoy-Carleman classes on sectors in a monomial asymptotic expansions

16.11.2017 13:45 - 15:15

Sergio Carillo (Univ. Wien)

Abstract: The aim of this talk is to prove that it is equivalent for a function to have asymptotic expansion w.r.t. a monomial and having bounded derivatives of all orders in every monomial subsector of its domain. We will explain the analogous result for the case when the asymptotic or the growth of the derivatives is determined by a weight sequence, logarithmically convex and stable by derivatives.

A. Kriegl, P. Michor, A. Rainer
SR 10, 2. OG., OMP 1