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Quantization of Kähler manifolds. II. (English) Zbl 0788.53062
Summary: [Part I, cf. J. Geom. Phys. 7, No. 1, 45-62 (1990; Zbl 0719.53044).]
We use Berezin’s dequantization procedure to define a formal $$*$$-product on a dense subalgebra of the algebra of smooth functions on a compact homogeneous Kähler manifold $$M$$. We prove that this formal $$*$$-product is convergent when $$M$$ is a Hermitian symmetric space.

MSC:
 53C55 Global differential geometry of Hermitian and Kählerian manifolds 53D50 Geometric quantization
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