实分离代数曲线、Quadrature域、Ahlfors型函数与算子理论
Real Separated Algebraic Curves, Quadrature Domains, Ahlfors Type Functions and Operator Theory
摘要：
本文的目的是将实型代数曲线、求积域、求积域上的函数和具有特殊性质的有理矩阵函数等代数和分析对象与算子论中的向量Toeplitz算子和次正规算子等对象联系起来。我们的工具来自算子理论，但我们的一些结果有纯粹的代数公式。我们利用夏的次正规算子理论和作者以前在这方面的结果。我们还纠正了（在第5节）作者在《伊比利亚美洲数学杂志》（1998年）中的两篇论文中的一些不准确之处。
英文摘要：
The aim of this paper is to inter-relate several algebraic and analytic objects, such as real-type algebraic curves, quadrature domains, functions on them and rational matrix functions with special properties, and some objects from Operator Theory, such as vector Toeplitz operators and subnormal operators. Our tools come from operator theory, but some of our results have purely algebraic formulation. We make use of Xia's theory of subnormal operators and of the previous results by the author in this direction. We also correct (in Section 5) some inaccuracies in two papers by the author in Revista Matematica Iberoamericana (1998).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
