Uncertainty principles for magnetic structures on certain coadjoint orbits

By building on our earlier work, we establish uncertainty principles in terms of Heisenberg inequalities and of the ambiguity functions associated with magnetic structures on certain coadjoint orbits of infinite-dimensional Lie groups. These infinite-dimensional Lie groups are semidirect products of...

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Bibliographic Details
Published in:arXiv.org
Main Authors: Beltita, Ingrid, Beltita, Daniel
Format: Paper
Language:English
Published: Ithaca Cornell University Library, arXiv.org 08.06.2009
Subjects:
Function space
Lie groups
Orbits
Uncertainty principles
ISSN:2331-8422
Online Access:Get full text
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Summary:By building on our earlier work, we establish uncertainty principles in terms of Heisenberg inequalities and of the ambiguity functions associated with magnetic structures on certain coadjoint orbits of infinite-dimensional Lie groups. These infinite-dimensional Lie groups are semidirect products of nilpotent Lie groups and invariant function spaces thereon. The recently developed magnetic Weyl calculus is recovered in the special case of function spaces on abelian Lie groups.
Bibliography:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
ISSN:2331-8422
DOI:10.48550/arxiv.0906.1414