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 Kahler manifold M. We prove that this formal *-product is convergent when M is a hermitian symmetric space.
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Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R ChinaChinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
Chan, Kwokwai
Leung, Naichung Conan
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Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R ChinaChinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
Leung, Naichung Conan
Li, Qin
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Southern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R ChinaChinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China