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On representations of the canonical commutation relations
Authors:Huzihiro Araki
Institution:(1) Queen's University, Kingston, Ontario, Canada;(2) Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan
Abstract:In the measure space construction of a representation of the canonical commutation relations, the strong continuity of any one parameter subgroup is proved.All multipliers for the separable case are expressed in a constructive manner and an irreducibility criterion for a subset of multipliers is obtained.Preprint No. 1970-27.On leave from Research Institute for Mathematical Sciences Kyoto University, Kyoto, Japan.
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