Bochner-Martinelli formula for k-Cauchy-Fueter operator
Bochner-Martinelli formula for k-Cauchy-Fueter operator
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k-Cauchy-Fueter 算子的 Bochner-Martinelli 公式
DOI：
10.1016/j.geomphys.2014.06.002
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发表时间：
2014
影响因子：
1.5
通讯作者：
Ren Guangbin
中科院分区：
文献类型：
--
作者：
Wang Haiyan;Ren Guangbin
K-Cauchy-Fueter算子有其物理根源，研究它的工具主要是基于正合序列和Penrose变换。本文证明了解析方法在建立具有显式核的k-Cauchy-Fueter算子的Bochner-Martinelli公式方面的优越性。Bochner-Martinelli核的显式形式对于k-Cauchy-Fueter算子理论的进一步研究具有重要意义。
Abstract The k-Cauchy–Fueter operator has its roots in physics and tools for its study are mainly based on exact sequences and Penrose transforms. In this article, we show that the analytic approach has its advantage in establishing the Bochner–Martinelli formula for k-Cauchy–Fueter operator with explicit kernels. Explicit form of the Bochner–Martinelli kernel will be important for further investigation on the theory of k-Cauchy–Fueter operators.