论文标题
自由Herglotz-Agler函数的多项式近似结果
A polynomial approximation result for free Herglotz-Agler functions
论文作者
论文摘要
在本文中，我们证明了NC Schur-Agler类的Schwarz Lemma的非交换性（NC）类似物，并证明了常规的NC Schur-Agler类和常规的免费Herglotz类是同型的。此外，我们给出了常规免费的Herglotz功能的特征。作为应用程序，我们将证明任何常规的免费Herglotz函数都可以通过常规的Herglotz无多项式统一。
In this paper, we prove a noncommutative (nc for short) analog of Schwarz lemma for the nc Schur-Agler class and prove that the regular nc Schur-Agler class and the regular free Herglotz class are homeomorphic. Moreover, we give a characterization of regular free Herglotz functions. As an application, we will show that any regular free Herglotz functions can uniformly be approximated by regular Herglotz free polynomials.
