Xia's Theorem for the Fock space $H^{2}(\mathbb{C}^n, d\mu)$

Abstract

In this paper, we provide a detailed proof for Xia's following theorem: the C^{*}-algebra generated by the class of weakly localized operators on $H^{2}(\mathbb{C}^n, d\mu)$ coincides with $\mathcal{T}^{(1)}$.