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arxiv: 0907.5399 · v1 · pith:THL4BYJBnew · submitted 2009-07-30 · 🧮 math.FA · math-ph· math.MP

The Modulation Mapping for Magnetic Symbols and Operators

classification 🧮 math.FA math-phmath.MP
keywords magneticmodulationadaptingbargmanncalculuscasecoherentextend
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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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