m-Complex Symmetric Weighted Composition Operators on the Fock Space

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发表日期：

2025年5月25日

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Yongxin Gao,
Zhiyuan Xu,
Zehua Zhou

摘要

In this paper, we characterize the m-complex symmetry of a class of weighted composition operators and their adjoint operators on the Fock space. The properties of $\psi $ $ψ$ and $\varphi $ $φ$ when $W_{\psi ,\varphi }$ $W_{ψ, φ}$ is m-complex symmetric as well as eigenvectors, normality and self-adjointness of such operators are considered simultaneously.