On Gelfand-Shilov spaces of type $W$

Abstract

Spaces of infinitely differentiable functions on ${\mathbb{R}}^n$ (more general than Gelfand-Shilov spaces of type $W_M$) are considered in the article. Paley-Wiener type theorems are obtained.

arXiv admin note: text overlap with arXiv:1703.04326 Fixed minor bugs