Positivity, complex FIOs, and Toeplitz operators
Positivity, complex FIOs, and Toeplitz operators
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.