2007
DOI: 10.3842/sigma.2007.055
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Eigenfunction Expansions of Functions Describing Systems with Symmetries

Abstract: Abstract. Physical systems with symmetries are described by functions containing kinematical and dynamical parts. We consider the case when kinematical symmetries are described by a noncompact semisimple real Lie group G. Then separation of kinematical parts in the functions is fulfilled by means of harmonic analysis related to the group G. This separation depends on choice of a coordinate system on the space where a physical system exists. In the paper we review how coordinate systems can be chosen and how th… Show more

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