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arxiv: 1108.0498 · v2 · pith:IH4FJ4B4new · submitted 2011-08-02 · 🧮 math.CV · math.AP· math.DG

On the coefficients of the asymptotic expansion of the kernel of Berezin-Toeplitz quantization

classification 🧮 math.CV math.APmath.DG
keywords berezin-toeplitzasymptoticcoefficientskernelquantizationcompositioncomputingexpansion
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We give new methods for computing the coefficients of the asymptotic expansions of the kernel of Berezin-Toeplitz quantization obtained recently by Ma-Marinescu, and of the composition of two Berezin-Toeplitz quantizations. Our main tool is the stationary phase formula of Melin-Sj\"{o}strand.

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