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Commutative Systems of Covariance and a Generalization of Mackey's Imprimitivity Theorem
Published online by Cambridge University Press: 20 November 2018
Abstract
Two results are obtained in this paper. The first is a generalization of the imprimitivity theorem of Mackey, when the associated projection-valued measure is replaced by a commutative positive operator valued measure. The second is a necessary and sufficient condition for such a system of covariance to possess an overcomplete, covariant family of coherent states.
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- Copyright © Canadian Mathematical Society 1984
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