Geodesic
Berezin quantization as a part of the representation theory
Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 6, pp. 1235-1246

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We present an approach to polynomial quantization (a variant of quantization in the spirit of Berezin) on para-Hermitian symmetric spaces using the notion of an "overgroup". This approach gives covariant and contravariant symbols and the Berezin transform in a highly natural and transparent way.
Keywords: symplectic manifolds; symbol calculus; quantization; Berezin transform. 
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     author = {V. F. Molchanov},
     title = {Berezin quantization as a part of the representation theory},
     journal = {Vestnik rossijskih universitetov. Matematika},
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     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2017_22_6_a2/}
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V. F. Molchanov. Berezin quantization as a part of the representation theory. Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 6, pp. 1235-1246. http://geodesic.mathdoc.fr/item/VTAMU_2017_22_6_a2/