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math.FA2009★ 25 cited
On the continuity of spectra for families of magnetic pseudodifferential operators
Nassim Athmouni, Marius Mantoiu, Radu Purice
For families of magnetic pseudodifferential operators defined by symbols and magnetic fields depending continuously on a real parameter , we show that the corresponding family o…
math.FA2009
The Modulation Mapping for Magnetic Symbols and Operators
Marius Mantoiu, Radu Purice
We extend the Bargmann transform to the magnetic pseudodifferential calculus, using gauge-covariant families of coherent states. We also introduce modulation mappings, a first step…