English

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

Functional Analysis 2025-11-05 v1 Complex Variables Operator Algebras

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 H2(Cn,dμ)H^{2}(\mathbb{C}^n, d\mu) coincides with T(1)\mathcal{T}^{(1)}.

Keywords

Cite

@article{arxiv.2511.02141,
  title  = {Xia's Theorem for the Fock space $H^{2}(\mathbb{C}^n, d\mu)$},
  author = {Solange Bridgitte Difo},
  journal= {arXiv preprint arXiv:2511.02141},
  year   = {2025}
}

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23 pages