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2009•Journal of Xuchang UniversityRequires access

Singular Integral Equations with Cauchy Kernel on the Complex Hyper-sphere Topological Product Domains

Zhao‐Yun Zeng

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Abstract

This paper studies the singular integral equations with Cauchy kernel on the characteristic manifold of two complex hyper-sphere topological product domains by using h-type integral and the relation between composition singular integral operators on the hyper-sphere topological product domains.The exceptional case of this equation and the singular integral equations with constant coefficient equivalent to the equations with cauchy kernel are also discussed in this paper.

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What this paper is about

This paper studies the singular integral equations with Cauchy kernel on the characteristic manifold of two complex hyper-sphere topological product domains by using h-type integral and the relation between composition singular integral operators on the hyper-sphere topological product domains.The exceptional case of this equation and the singular integral equations with constant coefficient equivalent to the equations with cauchy kernel are also discussed in this paper.

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Available abstract

This paper studies the singular integral equations with Cauchy kernel on the characteristic manifold of two complex hyper-sphere topological product domains by using h-type integral and the relation between composition singular integral operators on the hyper-sphere topological product domains.The exceptional case of this equation and the singular integral equations with constant coefficient equivalent to the equations with cauchy kernel are also discussed in this paper.

Key concepts: Mathematics, Integral equation, Kernel (algebra), Singular integral, Cauchy's integral formula, Mathematical analysis, Product (mathematics), Manifold (fluid mechanics)

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