2012Shuxue de shijian yu renshiRequires access

The Cauchy Principal Value of the Singular Integral on the Building Domain of Complex Biballs

Gong Ding-dong

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Abstract

Using a new method of deleting singular point,we define the solid angle coefficient on the building domain of complex biballs,and obtain the existence of the Cauchy principal value of the singular integral.The singular integral on the complex sphere is extended.

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Using a new method of deleting singular point,we define the solid angle coefficient on the building domain of complex biballs,and obtain the existence of the Cauchy principal value of the singular integral.The singular integral on the complex sphere is extended.

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Available abstract

Using a new method of deleting singular point,we define the solid angle coefficient on the building domain of complex biballs,and obtain the existence of the Cauchy principal value of the singular integral.The singular integral on the complex sphere is extended.

Key concepts: Principal value, Mathematics, Cauchy's integral formula, Cauchy principal value, Singular integral, Domain (mathematical analysis), Cauchy distribution, Singular value

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