发表机构
Chongqing University; Inner Mongolia University（重庆大学; 内蒙古大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文利用对称多项式理论，证明了调和Bergman空间上解析多项式符号的Toeplitz算子谱为闭曲线与有限个孤立特征值之并，从而验证了Weyl定理。
AI 中文摘要
利用对称多项式理论，我们证明了调和Bergman空间上具有解析多项式符号的每个Toeplitz算子的谱可以表示为一条闭曲线与至多$(n-1)2^{n-1}$个孤立特征值（其中$n$为符号的次数）的有限集的并集。这意味着Weyl定理对此类算子成立。
英文摘要
Using the theory of symmetric polynomials, we prove that the spectrum of every Toeplitz operator with an analytic polynomial symbol on the harmonic Bergman space can be represented as the union of a closed curve and a finite set of at most $(n-1)2^{n-1}$ isolated eigenvalues, where $n$ is the degree of the symbol. This implies that Weyl's theorem holds for such operators.
Comments12 pages
