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Semiclassical Gevrey operators and magnetic translations by Hitrik, Michael; Lascar, Richard; Sjoestrand, Johannes; Zerzeri, Maher is a scholarly article available to read on EtoBox.

What is Semiclassical Gevrey operators and magnetic translations about?

We study semiclassical Gevrey pseudodifferential operators acting on the Bargmann space of entire functions with quadratic exponential weights. Using some ideas of the time frequency analysis, we show that such operators are uniformly bounded on a natural scale of exponentially weighted spaces of holomorphic functions, provided that the Gevrey index is $\geq 2$.

Author

Hitrik, Michael; Lascar, Richard; Sjoestrand, Johannes; Zerzeri, Maher

Published

2020

Language

EN