Geodesic
On unitary representations of the group of diffeomorphisms of a~compact manifold
Izvestiya. Mathematics , Tome 6 (1972) no. 1, pp. 181-209

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The unitary representations of the group of diffeomorphisms of a compact manifold are considered. A relationship with dynamical systems is established. 
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R. S. Ismagilov. On unitary representations of the group of diffeomorphisms of a~compact manifold. Izvestiya. Mathematics , Tome 6 (1972) no. 1, pp. 181-209. http://geodesic.mathdoc.fr/item/IM2_1972_6_1_a4/