THE MODULATION MAPPING FOR MAGNETIC SYMBOLS AND OPERATORS
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2010-04-02Metadata
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Mantoiu, Marius
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THE MODULATION MAPPING FOR MAGNETIC SYMBOLS AND OPERATORS
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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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The first author is partially supported by N´ucleo Cientifico ICM P07-027-F “Mathematical
Theory of Quantum and Classical Magnetic Systems” and by the Chilean Science Foundation
Fondecyt under grant no. 1085162.The second author acknowledges partial support from contract no. 2-CEx 06-11-18/2006.
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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, Volume: 138, Issue: 8, Pages: 2839-2852, 2010
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