On a Space of Infinitely Differentiable Functions on an Unbounded Convex Set in ${\mathbb{R}}^n$ Admitting Holomorphic Extension in ${\mathbb{C}}^n$ and its Dual

I. Kh. Musin, P. V. Fedotova

We consider a space of infinitely smooth functions on an unbounded closed convex set in ${\mathbb{R}}^n$. It is shown that each function of this space can be extended to an entire f…