English

The Bergman kernel in constant curvature

Analysis of PDEs 2018-12-18 v1 Complex Variables

Abstract

We present an elementary proof for an approximate expression of the Bergman kernel on homogeneous spaces, and products of them. The error term is exponentially small with respect to the inverse semiclassical parameter.

Keywords

Cite

@article{arxiv.1812.06648,
  title  = {The Bergman kernel in constant curvature},
  author = {Alix Deleporte},
  journal= {arXiv preprint arXiv:1812.06648},
  year   = {2018}
}
R2 v1 2026-06-23T06:44:15.027Z