Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups

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dc.creatorBeltita, Ingrid
dc.creatorBeltita, Daniel
dc.date2009-02-01
dc.date.accessioned2026-07-07T12:36:54Z
dc.date.available2026-07-07T12:36:54Z
dc.descriptionWe develop a pseudo-differential Weyl calculus on nilpotent Lie groups which allows one to deal with magnetic perturbations of right invariant vector fields. For this purpose we investigate an infinite-dimensional Lie group constructed as the semidirect product of a nilpotent Lie grup and an appropriate function space thereon. We single out an appropriate coadjoint orbit in the semidirect product and construct our pseudo-differential calculus as a Weyl quantization of that orbit.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/0902.0148
dc.identifierhttp://arxiv.org/abs/0902.0148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218252
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject47G30; 22E25; 22E65; 35S05
dc.titleMagnetic pseudo-differential Weyl calculus on nilpotent Lie groups
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