超球拓扑积域特征流形上的奇异积分

Singular Integral on the Characterisitc Manifold of Hypersphere Topolgical Product Domains

在超球拓扑积域中建立了Cauchy型积分,定义了其特征流行上的奇异积分和奇异积分的Cauchy主值,进一步讨论了Cauchy型积分在特征流形上极限.

In this paper,we establish integral of Cauchy type in the hypersphere topological product domains, and define singular integral and Cauchy's principal value on it's characteristic manifold .We discussed further limit of integral of Cauchy type and on the characteristic manifold.