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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Quantization of Kähler manifolds. II


Authors: Michel Cahen, Simone Gutt and John Rawnsley
Journal: Trans. Amer. Math. Soc. 337 (1993), 73-98
MSC: Primary 58F06; Secondary 32C17, 53C55, 81S10
MathSciNet review: 1179394
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Abstract: We use Berezin's dequantization procedure to define a formal $ \ast$-product on a dense subalgebra of the algebra of smooth functions on a compact homogeneous Kähler manifold $ M$. We prove that this formal $ \ast$-product is convergent when $ M$ is a hermitian symmetric space.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1993-1179394-9
PII: S 0002-9947(1993)1179394-9
Keywords: Quantization, Kähler manifolds
Article copyright: © Copyright 1993 American Mathematical Society