On a space of entire functions rapidly decreasing on ${\mathbb R}^n$ and   its Fourier transformation
  A space of entire functions of several complex variables rapidly decreasing on ${\mathbb R}^n$ and such that their growth along $i{\mathbb R}^n$ is majorized with a help of a family of weight functions is considered in the paper. For this space an equivalent description in terms of estimates on all partial derivatives of functions on ${\mathbb R}^n$ and Paley-Wiener type theorem are obtained. 
I. Kh. Musin, M. I. Musin
math.CV math.FA