The tangential k-Cauchy-Fueter operator and k-CF functions over the Heisenberg group
The tangential k-Cauchy-Fueter operator and k-CF functions over the Heisenberg group
复制标题
海森堡群上的切向 k-Cauchy-Fueter 算子和 k-CF 函数
DOI：
10.1007/s00006-020-1043-3
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发表时间：
2020
影响因子：
1.5
通讯作者：
Wang Wei
中科院分区：
文献类型：
--
作者：
Ren Guangzhen;Shi Yun;Wang Wei
本文研究了一维海森堡群的四元数分析。切向cauchy - fueter算子和k- cf函数分别是复变理论中Heisenberg群上的切向Cauchy-Riemann算子和CR函数的对应物。给出了fork-CF函数的Penrose积分公式，并建立了切向- cauchy - fueter算子的Bochner-Martinelli公式。我们还构造了切线-柯西-富特复合体。
In this paper, we investigate quaternionic analysis on the-dimensional Heisenberg group. The tangentialk-Cauchy–Fueter operator andk-CF functions are counterparts of the tangential Cauchy–Riemann operator and CR functions on the Heisenberg group in the theory of several complex variables, respectively. We give the Penrose integral formula fork-CF functions and establish the Bochner–Martinelli formula for the tangentialk-Cauchy–Fueter operator. We also construct the tangentialk-Cauchy–Fueter complex.