论文标题
在单位磁盘上Gevrey类型的多序分析函数的表示和均匀的多项式近似
On the representation and the uniform polynomial approximation of polyanalytic functions of Gevrey type on the unit disk
论文作者
论文摘要
在本文中，我们在单位磁盘D上定义了n阶n的Gevrey多序分析类别，并为这些类别获得了在适当的n-Analytial多项式中的特征性扩展。作为我们的主要定理的应用，我们为Gevrey dyk d的gevrey多序分类n of Unite disk d，模拟于E.M.M.M.M.Dynkin Kinkin's thekin'''''Orem's'''''''''''ordanalytory n。对于这些类别，我们还得出了它们的特征性，其特征性的n分析多项式对D上的最佳均匀近似程度。
In this paper we define Gevrey polyanalytic classes of order N on the unit disk D and we obtain for these classes a characteristic expansion into N-analytic polynomials on suitable neighborhoods of D. As an application of our main theorem, we perform for the Gevrey polyanalytic classes of order N on the unit disk D, an analogue to E. M. Dyn'kin's theorem. We also derive, for these classes, their characteristic degree of the best uniform approximation on D by N-analytic polynomials.
