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Complex FIOs and composition of Toeplitz operators (2205.08649v4)

Published 17 May 2022 in math.FA and math.CV

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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