Complex FIOs and composition of Toeplitz operators
arXiv:2205.08649
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.
The paper has been revised slightly, taking into account the result of arXiv:2303.01558