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arXiv · 2511.02141

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

Solange Bridgitte Difo
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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 $\mathcal{T}^{(1)}$.

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BibTeXRIS

Solange Bridgitte Difo. 2025-11-04. Xia's Theorem for the Fock space $H^{2}(\mathbb{C}^n, d\mu)$. https://arxiv.org/abs/2511.02141

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