English

Berezin transform in polynomial Bergman spaces

Complex Variables 2009-10-19 v4

Abstract

We study the reproducing kernel for weighted polynomial Bergman spaces and consider applications to the Berezin transform. Some of our results have applications in random matrix theory, a topic which we discuss in a separate (companion) paper.

Keywords

Cite

@article{arxiv.0807.0369,
  title  = {Berezin transform in polynomial Bergman spaces},
  author = {Yacin Ameur and Haakan Hedenmalm and Nikolai Makarov},
  journal= {arXiv preprint arXiv:0807.0369},
  year   = {2009}
}
R2 v1 2026-06-21T10:56:49.337Z