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arXiv · 1804.05220

A Beals criterion for magnetic pseudodifferential operators proved with magnetic Gabor frames

Horia D. Cornean·Bernard Helffer·Radu Purice
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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.

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Horia D. Cornean, Bernard Helffer, Radu Purice. 2018-04-14. A Beals criterion for magnetic pseudodifferential operators proved with magnetic Gabor frames. https://doi.org/10.1080/03605302.2018.1499777

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