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.
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
@misc{10_4153_CMB_1984_060_6,
title = {Commutative {Systems} of {Covariance} and a {Generalization} of {Mackey's} {Imprimitivity} {Theorem}},
journal = {Canadian mathematical bulletin},
pages = {390--397},
year = {1984},
volume = {27},
number = {4},
doi = {10.4153/CMB-1984-060-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-060-6/}
}
TY - JOUR TI - Commutative Systems of Covariance and a Generalization of Mackey's Imprimitivity Theorem JO - Canadian mathematical bulletin PY - 1984 SP - 390 EP - 397 VL - 27 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-060-6/ DO - 10.4153/CMB-1984-060-6 ID - 10_4153_CMB_1984_060_6 ER -
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