八元数闭逐块光滑流形上的奇异积分

The singular integrals on the closed piecewise smooth manifolds of octonions

利用立体角系数方法研究八元数中闭逐块光滑流形上的奇异积分主值,得到相应的Sokhotski-Plemelj公式.这些结果将在进一步研究八元数上的奇异积分理论起到重要作用.

The solid-angle coefficient method is used to study the principal value on the closed piecewise smooth manifolds in octonions,and a corresponding Sokhotski-Plemel formula is obtained.These results will prove useful in the further study of the singular integral theory in octonions.