论文标题
Fock和Hardy空间：Clifford-Appell Case
Fock and Hardy spaces: Clifford-Appell case
论文作者
论文摘要
在本文中，我们研究了特定的Clifford-Appell多项式系统，尤其是其产品。此外，我们在Fueter常规功能的框架内介绍了一个新的Quaternionic繁殖Hilbert空间。该结构是基于一个一般思想，该想法允许通过指定合适的实数序列来获得各种功能空间。在这种情况下，我们专注于Fock和Hardy案例，我们研究了Fueter映射及其范围的作用。
In this paper, we study a specific system of Clifford-Appell polynomials and in particular their product. Moreover, we introduce a new family of quaternionic reproducing kernel Hilbert spaces in the framework of Fueter regular functions. The construction is based on a general idea which allows to obtain various function spaces, by specifying a suitable sequence of real numbers. We focus on the Fock and Hardy cases in this setting, and we study the action of the Fueter mapping and its range.
