The Weyl Transform of a measure

Mansi Mishra, M. K. Vemuri

(1) Suppose $\mu$ is a smooth measure on a hypersurface of positive Gaussian curvature in ${\mathbb{R}}^{2n}$. If $n\ge 2$, then $W(\mu )$, the Weyl transform of $\mu$, is a compact operator, and i…