English

A local Szeg\"o-type theorem in Toeplitz quantization

Spectral Theory 2009-10-19 v1 Mathematical Physics math.MP Symplectic Geometry

Abstract

A Szeg\"o-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.

Keywords

Cite

@article{arxiv.0910.3059,
  title  = {A local Szeg\"o-type theorem in Toeplitz quantization},
  author = {Roberto Paoletti},
  journal= {arXiv preprint arXiv:0910.3059},
  year   = {2009}
}
R2 v1 2026-06-21T13:59:07.547Z