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On unitary representations of the group $C_0^\infty(X, G)$, $G=SU_2$
Sbornik. Mathematics, Tome 29 (1976) no. 1, pp. 105-117 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper a family of irreducible unitary representations of the group $G=C_0^\infty(X,SU_2)$ is constructed, where $X$ is an open set in $R^m$, $m\geqslant5$. The group $G$ consists of all infinitely differentiable mappings $X\to SU_2$ with compact support ($=I$ outside some compact set) and is furnished with pointwise multiplication. The author's construction is a modification of the well-known Araki construction. The representations constructed here act in the class of functional on a space dual to a nuclear space and furnished with a Gaussian measure. Bibliography: 7 titles. 
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R. S. Ismagilov. On unitary representations of the group $C_0^\infty(X, G)$, $G=SU_2$. Sbornik. Mathematics, Tome 29 (1976) no. 1, pp. 105-117. http://geodesic.mathdoc.fr/item/SM_1976_29_1_a7/

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