Complex FIOs and composition of Toeplitz operators

Lewis Coburn; Michael Hitrik; Johannes Sjöstrand

doi:10.1007/s11868-023-00531-9

Complex FIOs and composition of Toeplitz operators

Lewis Coburn
, Michael Hitrik
, Johannes Sjöstrand

Mathematics

University of California at Los Angeles
Université de Bourgogne

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Article number	36
Journal	Journal of Pseudo-Differential Operators and Applications
Volume	14
Issue number	3
DOIs	https://doi.org/10.1007/s11868-023-00531-9
State	Published - Sep 2023

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title = "Complex FIOs and composition of Toeplitz operators",

abstract = "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.",

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AU - Hitrik, Michael

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AB - 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.

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JO - Journal of Pseudo-Differential Operators and Applications

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Complex FIOs and composition of Toeplitz operators

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