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Article Dans Une Revue Mathematical Research Letters Année : 2021

Weyl symbols and boundedness of Toeplitz operators

Résumé

We study Toeplitz operators on the Bargmann space, with Toeplitz symbols that are exponentials of inhomogeneous quadratic polynomials. It is shown that the boundedness of such operators is implied by the boundedness of the corresponding Weyl symbols.

Dates et versions

hal-03302154 , version 1 (27-07-2021)

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Citer

Lewis Coburn, Michael Hitrik, Johannes Sjöstrand, Francis White. Weyl symbols and boundedness of Toeplitz operators. Mathematical Research Letters, 2021, 28 (3), pp.681-696. ⟨10.4310/MRL.2021.v28.n3.a3⟩. ⟨hal-03302154⟩
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