On a class of infinitely differentiable functions in ${\mathbb{R}}^n$ admitting holomorphic extension in ${\mathbb{C}}^n$

I. Kh. Musin, P. V. Yakovleva

A space $G(M,\Phi )$ of infinitely differentiable functions in ${\mathbb{R}}^n$ constructed with a help of a family $\Phi =\{{\phi }_m{\}}_{m=1}^{\infty }$ of real-valued functions $φ_m…