Berezin–Toeplitz operators, a semi-classical approach. (English) Zbl 1059.47030

Charles, Laurent

Commun. Math. Phys. 239, No. 1-2, 1-28 (2003).

This paper considers Toeplitz operators in the context of geometric quantization. An ansatz proposed by the author for their Schwartz kernel allows to deduce some new results concerning the properties of the principal symbol of these operators.

Reviewer: Valentin Zagrebnov (Marseille)

MSC:

47B35

Toeplitz operators, Hankel operators, Wiener-Hopf operators

Keywords:

semi-classical analysis; Toeplitz operators; geometric quantisation; Schwartz kernel