34 citations · 118 across the 30 of their papers we have counts for
5 papers · 1 filter
Weighted symbol spaces, magnetic translations, and pseudodifferential operators
Michael Hitrik, Reid Johnson
We study pseudodifferential operators associated to microlocally defined normed symbol spaces of limited regularity, introduced by J. Sjöstrand. Boundedness of such operators on mo…
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…
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…