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Article Dans Une Revue Communications on Pure and Applied Analysis Année : 2019

Positivity, complex FIOs, and Toeplitz operators

Résumé

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.

Dates et versions

hal-02303294 , version 1 (02-10-2019)

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Lewis Coburn, Michael Hitrik, Johannes Sjöstrand. Positivity, complex FIOs, and Toeplitz operators. Communications on Pure and Applied Analysis, 2019, 1 (3), pp.327-357. ⟨10.2140/paa.2019.1.327⟩. ⟨hal-02303294⟩
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