Weyl Transform on Nonunimodular Groups

Abstract

For $p>2$, B. Simon\cite{Simon} studied the unboundedness of the Weyl transform for symbol belonging to $L^p({\mathbb{R}}^n\times {\mathbb{R}}^n)$. In this article, we study the analog of unboundedness of the Weyl transform on some nonunimodular groups, namely, the affine group, similitude group, and affine Poincaré group.