论文标题
偏斜分析四季度。我
Skew analysis over quaternions. I
论文作者
论文摘要
我们介绍了一类戒指,我们使用该戒指定义了四季度值函数偏向于四个季度的概念。结果表明,偏斜规律性的概念与对称切片域的切片规律性的概念一致。关于对称切片结构域的切片规范函数的已知结果概括为一般对称域的偏向规范函数。此外,我们提出了有关切片规范功能的新结果。
We introduce a class of rings using which we define the concept of skew regularity for quaternion-valued functions over quaternions. It is shown that the notion of skew regularity coincides with the concept of slice regularity over symmetric slice domains. Known results regarding slice-regular functions over symmetric slice domains are generalized to skew-regular functions over general symmetric domains. Furthermore, we present new results concerning slice-regular functions.