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

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

2011-08-02

arxiv.org/abs/1108.0498v2

Mathematics

Complex Variables

35 pages

Scientific paper

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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