Commutative Systems of Covariance and a Generalization of Mackey's Imprimitivity Theorem
Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 390-397

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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.
DOI : 10.4153/CMB-1984-060-6
Mots-clés : 28B15, 52A99, 22D30
Commutative Systems of Covariance and a Generalization of Mackey's Imprimitivity Theorem. Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 390-397. doi: 10.4153/CMB-1984-060-6
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