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 ${\mathcal{T}}^{(1)}$.

23 pages