Quasi-analytic function
Quasianalytic function; Denjoy–Carleman theorem; Carleman theorem; Carleman's theorem; Quasi-analytic class; Quasianalytic class; Quasianalytic; Quasi-analytic; Denjoy-Carleman theorem; Theorem of Carleman
In mathematics, a quasi-analytic class of functions is a generalization of the class of real analytic functions based upon the following fact: If f is an analytic function on an interval [a,b] ⊂ R, and at some point f and all of its derivatives are zero, then f is identically zero on all of [a,b]. Quasi-analytic classes are broader classes of functions for which this statement still holds true.