A Dynamical Approach to Quasi analytic type problems

In this paper we give an alternative proof for a vanishing result about flat functions proved in G.Stoica, "When must a flat function be identically zero", The American Mathematical Monthly ۱۲۵(۷)۶۴۸-۶۴۹, ۲۰۱۸. With a dynamical approach we give a generalization of this result to multidimensional variables.