The Cauchy transform in the slice hyperholomorphic setting and related topics
The Cauchy transform in the slice hyperholomorphic setting and related topics
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DOI：
10.1016/j.geomphys.2018.12.007
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发表时间：
2018-04
影响因子：
1.5
通讯作者：
F. Colombo;Samuele Mongodi
中科院分区：
文献类型：
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作者：
F. Colombo;Samuele Mongodi
本文研究切片超全纯函数的柯西公式所定义的四元数柯西变换的加法分裂。此外，我们还引入并研究了切片超全纯函数整体算子基本解的类似形式。我们陈述我们的结果在四元数设置，但几个结果持有的Clifford代数值函数的微小变化的证明。
In this paper we study the additive splitting associated to the quaternionic Cauchy transform defined by the Cauchy formula of slice hyperholomorphic functions. Moreover, we introduce and study the analogue of the fundamental solution of the global operator of slice hyperholomorphic functions. We state our results in the quaternionic setting but several results hold for Clifford algebra-valued function with minor changes in the proofs.