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The regularization theorem of the singular integral equations on characteristic manifold in Clifford analysis. (Chinese. English summary) Zbl 0948.30053

In this paper, by thinking of the complex analysis in several variables, he proves the two Poincaré-Bertrand transformation formulas of the singular repeated integrals on a characteristic manifold in the Clifford analysis, and then he also considered the Fredholm’s theory for singular integral equations and gave the regularization operator of the singular integral equations.

MSC:

30G35 Functions of hypercomplex variables and generalized variables
45E05 Integral equations with kernels of Cauchy type
47G10 Integral operators
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