8 citations · 9 across the 4 of their papers we have counts for
6 papers
Characterizing boundedness of metaplectic Toeplitz operators
Lewis Coburn, Michael Hitrik, Johannes Sjoestrand
We study Toeplitz operators on the Bargmann space, with Toeplitz symbols given by exponentials of complex quadratic forms. We show that the boundedness of the corresponding Weyl sy…
Complex FIOs and composition of Toeplitz operators
Lewis Coburn, Michael Hitrik, Johannes Sjoestrand
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 t…
Approximation by Lipschitz functions
L. A. Coburn
On any metric space, I provide an intrinsic characterization of those complex-valued functions which are uniform limits of Lipschitz functions. There are applications to function t…
Weyl symbols and boundedness of Toeplitz operators
Lewis Coburn, Michael Hitrik, Johannes Sjoestrand +1
We study Toeplitz operators on the Bargmann space, with Toeplitz symbols that are exponentials of inhomogeneous quadratic polynomials. It is shown that the boundedness of such oper…
Positivity, complex FIOs, and Toeplitz operators
Lewis Coburn, Michael Hitrik, Johannes Sjoestrand
We establish a characterization of complex linear canonical transformations that are positive with respect to a pair of strictly plurisubharmonic quadratic weights. As an applicati…
Toeplitz Quantization on Fock Space
Wolfram Bauer, Lewis Coburn, Raffael Hagger
For Toeplitz operators acting on the weighted Fock space , we consider the semi-commutator , where is a certain weight par…