Berezin quantization of homogeneous bounded domains

TL;DR

This paper proves that any homogeneous bounded domain can be equipped with a Berezin quantization, extending the mathematical framework for quantization on complex domains.

Contribution

It establishes the existence of Berezin quantization on all homogeneous bounded domains, a significant extension of previous results.

Findings

Homogeneous bounded domains admit Berezin quantization

Extension of quantization methods to complex domains

Mathematical framework for quantization on these domains

Abstract

We prove that a homogeneous bounded domain admits a Berezin quantization.