Semi-classical properties of Berezin-Toeplitz operators with $\mathcal{C}^k$-symbol
Published in J. Math. Phys., 2014
Recommended citation: Barron, T., Ma, X., Marinescu, G., Pinsonnault, M. "Semi-classical properties of Berezin-Toeplitz operators with $\mathcal{C}^k$-symbol." J. Math. Phys.55 (2014), no.4, 042108, 25 pp. https://doi-org.proxy1.lib.uwo.ca/10.1063/1.4870869
We obtain the semi-classical expansion of the kernels and traces of Toeplitz operators with $\mathcal{C}^k$-symbol on a symplectic manifold. We also give a semi-classical estimate of the distance of a Toeplitz operator to the space of self-adjoint and multiplication operators.