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Positivity, complex FIOs, and Toeplitz operators. (arXiv:1807.00922v1 [math.FA])

来源于:arXiv
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. 查看全文>>