Complex FIOs and composition of Toeplitz operators - Archive ouverte HAL
Article Dans Une Revue Journal of Pseudo-Differential Operators and Applications Année : 2023

Complex FIOs and composition of Toeplitz operators

Résumé

We study Toeplitz operators on the Bargmann space, with Toeplitz symbols that are exponentials of complex quadratic forms, from the point of view of Fourier integral operators in the complex domain. Sufficient conditions are established for the composition of two such operators to be a Toeplitz operator.

Mots clés

quantization

Domaines

Mathématiques [math]

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https://hal.science/hal-04311354

Soumis le : mardi 28 novembre 2023-10:17:28

Dernière modification le : lundi 16 septembre 2024-15:14:03

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Dates et versions

hal-04311354 , version 1 (28-11-2023)

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Lewis Coburn, Michael Hitrik, Johannes Sjöstrand. Complex FIOs and composition of Toeplitz operators. Journal of Pseudo-Differential Operators and Applications, 2023, 14 (3), pp.36. ⟨10.1007/s11868-023-00531-9⟩. ⟨hal-04311354⟩

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