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

Decebal Horia Cornean, Bernard Helffer, Radu Purice

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1 Citationer (Scopus)

Abstrakt

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.
OriginalsprogEngelsk
TidsskriftCommunications in Partial Differential Equations
Vol/bind43
Udgave nummer8
Sider (fra-til)1196-1204
Antal sider9
ISSN0360-5302
DOI
StatusUdgivet - 2018

Emneord

  • Beals criterion
  • Gabor frames
  • magnetic pseudo-differential calculus

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