A local Szegö-type theorem in Toeplitz quantization

Abstract

A Szegö-type theorem for Toeplitz operators was proved by Boutet de Monvel and Guillemin for general Toeplitz structures. We give a local version of this result in the setting of positive line bundles on compact symplectic manifolds.

References in corpus (2)

• Universality and scaling of correlations between zeros on complex manifolds
• Equivariant asymptotics for Toeplitz operators