Global approximation of CR functions on Bloom-Graham model graphs in $\mathbb{C} ^n$

We define a class of generic CR submanifolds of $\mathbb{C} ^n$ of real codimension $d$, $1\leq d\leq n$, called the Bloom-Graham model graphs, whose graphing functions are partially decoupled in their dependence on the variables in the real directions. We prove a global version of the Baouendi-Treves CR approximation theorem for Bloom-Graham model graphs with a polynomial growth assumption on their graphing functions.