Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey type pseudo-differential operators

Ahmed Abdeljawad, Sandro Coriasco, Joachim Toft

We deduce one-parameter group properties for pseudo-differential operators $\mathrm{Op}(a)$, where $a$ belongs to the class ${\Gamma }_{\ast }^{({\omega }_0)}$ of certain Gevrey symbols. We use t…