Slice analysis is generalized to the setting of octonions with new book structure whose spine consists of a complex plane instead of the real axis. The theory leads to the study of the slice Dirac operator. The associated Cauchy type kernel turns out to be operator-valued rather than function-valued, in contrast to the associative case. The global Plemelj jump formula is established on the boundary of any axially symmetric domain of octonions.

中文翻译：

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具有复杂脊柱的八维数切片Dirac算子的全局Plemelj公式

切片分析广泛应用于具有新书结构的八音度的设置，其书脊由复杂的平面而不是真实的轴组成。该理论导致对切片Dirac算子的研究。与关联的情况相反，相关的Cauchy类型内核被证明是运算符值而不是函数值。全局Plemelj跳跃公式建立在任何八进制八进制的边界上。