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-Sjöstrand.

35 pages

References in corpus (2)

• Berezin-Toeplitz quantization on Kaehler manifolds
• Berezin-Toeplitz quantization and its kernel expansion

Cited by in corpus (1)

• Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles