**Speaker:** Horia Cornean. Aalborg University

**Title:** **A Beals criterion for magnetic pseudo-differential operators proved with magnetic Gabor frames**

*Place: Pontificia Universidad Católica, Facultad de Matemáticas, Campus San Joaquin, Sala 5*

**Abstract:**

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-Mantoiu-Purice. This is joint work with Bernard Helffer (Nantes) and Radu Purice (Bucharest). https://doi.org/10.1080/03605302.2018.1499777