A Beals criterion for magnetic pseudodifferential operators proved with magnetic Gabor frames
Analysis of PDEs
2026-05-19 v2 Mathematical Physics
math.MP
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-M\u{a}ntoiu-Purice.
Keywords
Cite
@article{arxiv.1804.05220,
title = {A Beals criterion for magnetic pseudodifferential operators proved with magnetic Gabor frames},
author = {Horia D. Cornean and Bernard Helffer and Radu Purice},
journal= {arXiv preprint arXiv:1804.05220},
year = {2026}
}
Comments
8 pages, to appear in Commun. P.D.E