Positivity, complex FIOs, and Toeplitz operators
Functional Analysis
2019-07-31 v1 Analysis of PDEs
Abstract
We establish a characterization of complex linear canonical transformations that are positive with respect to a pair of strictly plurisubharmonic quadratic weights. As an application, we show that the boundedness of a class of Toeplitz operators on the Bargmann space is implied by the boundedness of their Weyl symbols.
Cite
@article{arxiv.1807.00922,
title = {Positivity, complex FIOs, and Toeplitz operators},
author = {Lewis Coburn and Michael Hitrik and Johannes Sjoestrand},
journal= {arXiv preprint arXiv:1807.00922},
year = {2019}
}