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arXiv · 1807.00922

Positivity, complex FIOs, and Toeplitz operators

Lewis Coburn·Michael Hitrik·Johannes Sjoestrand
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Abstract

We establish a characterization of complex linear canonical transformations that are positive with respect to a pair of strictly plurisubharmonic quadratic weights. As an application, we show that the boundedness of a class of Toeplitz operators on the Bargmann space is implied by the boundedness of their Weyl symbols.

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Lewis Coburn, Michael Hitrik, Johannes Sjoestrand. 2018-07-02. Positivity, complex FIOs, and Toeplitz operators. https://doi.org/10.2140/paa.2019.1.327

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