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.
Citation
Lewis A. Coburn. Michael Hitrik. Johannes Sjöstrand. "Positivity, complex FIOs, and Toeplitz operators." Pure Appl. Anal. 1 (3) 327 - 357, 2019. https://doi.org/10.2140/paa.2019.1.327
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