A Kind of Singular Integral Equations with Constant Coefficient on the Complex Hyper-sphere Topological Product Domains
Hu Lin · Journal of Pingdingshan University · 2009
In this paper,we study a kind of singular integral equations with constant coefficients on the characteristic manifold of two complex hyper-sphere topological product domains by using the B-type and h-type integral and the relation of two composition singular integral operators on the hyper-sphere topological product domains,and obtain the usual solution of singular integral equation of this kind: first,turning it into a equivalent Fredholm equation,then obtaining the representation of the solution of this equation,and at last,discussing some special cases of singular integral equation.