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On the deformation quantization, on a Kähler manifold, associated with a Berzin quantization. (English. Russian original) Zbl 0869.53045
Funct. Anal. Appl. 30, No. 2, 142-144 (1996); translation from Funkts. Anal. Prilozh. 30, No. 2, 87-89 (1996).
In the paper under review, following Fedosov’s technique the author constructs a deformation quantization on an arbitrary Kähler manifold. As particular cases he refinds the well-known results of Berezin, Cahen, Gutt and Rawnsley.

53C55 Global differential geometry of Hermitian and Kählerian manifolds
53D50 Geometric quantization
Full Text: DOI
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[4] M. Cahen, S. Gutt, and J. Rawnsley, to appear in Lett. Math. Phys.
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