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

Abstract

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\"ostrand.

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