Geodesic
Berezin-Weyl quantization for Cartan motion groups
Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 1, pp. 127-137.

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We construct adapted Weyl correspondences for the unitary irreducible representations of the Cartan motion group of a noncompact semisimple Lie group by using the method introduced in [B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177--190].
Classification : 22E15, 22E45, 22E46, 22E70, 81R05, 81S10
Keywords: semidirect product; Cartan motion group; unitary representation; semisimple Lie group; symplectomorphism; coadjoint orbit; Weyl quantization; Berezin quantization 
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     title = {Berezin-Weyl quantization for {Cartan} motion groups},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_2011__52_1_a8/}
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Cahen, Benjamin. Berezin-Weyl quantization for Cartan motion groups. Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 1, pp. 127-137. http://geodesic.mathdoc.fr/item/CMUC_2011__52_1_a8/