The Modulation Mapping for Magnetic Symbols and Operators
Marius Mantoiu, Radu Purice
TL;DR
This paper extends the Bargmann transform to magnetic pseudodifferential calculus using gauge-covariant coherent states and introduces modulation mappings to adapt modulation spaces for magnetic operators.
Contribution
It introduces a novel extension of the Bargmann transform and modulation mappings tailored for magnetic pseudodifferential calculus.
Findings
Extended Bargmann transform to magnetic setting
Introduced gauge-covariant coherent states
Laid groundwork for magnetic modulation spaces
Abstract
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 towards adapting modulation spaces to the magnetic case.
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Taxonomy
TopicsSeismic Imaging and Inversion Techniques · Mathematical Analysis and Transform Methods · Black Holes and Theoretical Physics