# Quasi-analytic Classes

Desvl at
MotivationThere are a lot of nice properties of analytic functions, whose class is denoted by $$C^\omega$$. Formally we have the following definition:If $$f \in C^\omega$$ and $$x_0 \in \mathbb{R}$$, one can write $f = a_0+a_1(x-x_0)+a_2(x-x_0)^2+\cdots.$Obviously $$f \in C^\infty$$ (and hence \(C……