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

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

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8 papers · 1 filter

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.AP2018★ 8 cited

Analytic Bergman operators in the semiclassical limit

Ophélie Rouby, Johannes Sjoestrand, San Vu Ngoc

Transposing the Berezin quantization into the setting of analytic microlocal analysis, we construct approximate semiclassical Bergman projections on weighted spaces with anal…

math.AP2015

Two minicourses on analytic microlocal analysis

Michael Hitrik, Johannes Sjoestrand

These notes correspond roughly to the two minicourses prepared by the authors for the workshop on Analytic Microlocal Analysis, held at Northwestern University in May 2013. The fir…

math.AP2011

Fractal Weyl law for open quantum chaotic maps

Stéphane Nonnenmacher, Johannes Sjoestrand, Maciej Zworski

We study the semiclassical quantization of Poincaré maps arising in scattering problems with fractal hyperbolic trapped sets. The main application is the proof of a fractal Weyl up…