34 citations · 118 across the 30 of their papers we have counts for
39 papers
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…
Weyl laws for exponentially small singular values of the operator
Michael Hitrik, Johannes Sjöstrand, Martin Vogel
We study the number of exponentially small singular values of the semiclassical operator on exponentially weighted spaces on a compact Riemann surface.…
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…
Asymptotics for Bergman projections with smooth weights: a direct approach
Michael Hitrik, Matthew Stone
We adapt the direct approach to the semiclassical Bergman kernel asymptotics, developed recently by A. Deleporte, J. Sjöstrand, and the first-named author for real analytic exponen…
Semiclassical Gevrey operators and magnetic translations
Michael Hitrik, Richard Lascar, Johannes Sjoestrand +1
We study semiclassical Gevrey pseudodifferential operators acting on the Bargmann space of entire functions with quadratic exponential weights. Using some ideas of the time frequen…