On the anti-Wick symbol as a Gelfand-Shilov generalized function

Laurent Amour, Nicolas Lerner, Jean Nourrigat

The purpose of this article is to prove that the anti-Wick symbol of an operator mapping $\mathcal{S}({\mathbb{R}}^n)$ into ${\mathcal{S}}^{\prime }({\mathbb{R}}^n)$, which is generally not a tempered distribution, c…