A Beals criterion for magnetic pseudo-differential operators proved with magnetic Gabor frames
A Beals criterion for magnetic pseudo-differential operators proved with magnetic Gabor frames
First, we give a new proof for the Beals commutator criterion for non-magnetic Weyl pseudo-differential operators based on classical Gabor tight frames. Second, by introducing a modified 'magnetic' Gabor tight frame, we naturally derive the magnetic analogue of the Beals criterion originally considered by Iftimie-Măntoiu-Purice.