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arXiv · 2211.12729

The Weyl Transform of a measure

Mansi Mishra·M. K. Vemuri
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Abstract

(1) Suppose $\mu$ is a smooth measure on a hypersurface of positive Gaussian curvature in $\R^{2n}$. If $n\ge 2$, then $W(\mu)$, the Weyl transform of $\mu$, is a compact operator, and if $p>n\ge 6$ then $W(\mu)$ belongs to the $p$-Schatten class. (2) There exist Schatten class operators with linearly dependent quantum translates.

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Mansi Mishra, M. K. Vemuri. 2022-11-23. The Weyl Transform of a measure. https://arxiv.org/abs/2211.12729

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