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arXiv · 0806.2370

Toeplitz operators on symplectic manifolds

Xiaonan Ma·George Marinescu
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Abstract

We study the Berezin-Toeplitz quantization on symplectic manifolds making use of the full off-diagonal asymptotic expansion of the Bergman kernel. We give also a characterization of Toeplitz operators in terms of their asymptotic expansion. The semi-classical limit properties of the Berezin-Toeplitz quantization for non-compact manifolds and orbifolds are also established.

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BibTeXRIS

Xiaonan Ma, George Marinescu. 2008-06-14. Toeplitz operators on symplectic manifolds. https://doi.org/10.1007/s12220-008-9022-2

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