3 papers
math.FA2021
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…
math.FA2019
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…
math.FA2018
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…