Geodesic
On a~generalization of canonical quantization
Izvestiya. Mathematics , Tome 28 (1987) no. 1, pp. 175-188.

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A study is made of Mackey's generalized quantization based on the concept of an imprimitivity system. Let $G$ be a topological group (symmetry group) acting continuously on a transitive $G$-space $X$ (the configuration space of a classical system). The structure of generalized imprimitivity systems is investigated in two cases: for a compact $G$ and for $G=X$ a locally compact type I group (for separable $G$ and Hilbert space $\mathscr H$ in which $G$ has a continuous unitary representation). Bibliography: 23 titles. 
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A. S. Kholevo. On a~generalization of canonical quantization. Izvestiya. Mathematics , Tome 28 (1987) no. 1, pp. 175-188. http://geodesic.mathdoc.fr/item/IM2_1987_28_1_a8/

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