activity
20012020
most citedPseudospectra of semi-classical (pseudo)differential operators

162 citations · 394 across the 33 of their papers we have counts for

collaborators

37 papers

math.AP2020

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…

math.AP2020

Semiclassical Gevrey operators in the complex domain

Michael Hitrik, Richard Lascar, Johannes Sjoestrand +1

We study semiclassical Gevrey pseudodifferential operators, acting on exponentially weighted spaces of entire holomorphic functions. The symbols of such operators are Gevrey functi…

math.AP2020★ 4 cited

A direct approach to the analytic Bergman projection

Alix Deleporte, Michael Hitrik, Johannes Sjoestrand

We develop a direct approach to the semiclassical asymptotics for Bergman projections in exponentially weighted spaces of holomorphic functions, with real analytic strictly plurisu…

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.SP2019★ 3 cited

General Toeplitz matrices subject to Gaussian perturbations

Johannes Sjoestrand, Martin Vogel

We study the spectra of general Toeplitz matrices given by symbols in the Wiener Algebra perturbed by small complex Gaussian random matrices, in the regime . We…

math.SP2019★ 4 cited

Toeplitz band matrices with small random perturbations

Johannes Sjoestrand, Martin Vogel

We study the spectra of Toeplitz band matrices perturbed by small complex Gaussian random matrices, in the regime . We prove a probabilistic Weyl law, which pro…