Huang, Sha The regularization theorem of the singular integral equations on characteristic manifold in Clifford analysis. (Chinese. English summary) Zbl 0948.30053 Acta Math. Sci. (Chin. Ed.) 18, No. 3, 257-263 (1998). 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. Reviewer: Li Mingzhong (Shanghai) Cited in 1 Document MSC: 30G35 Functions of hypercomplex variables and generalized variables 45E05 Integral equations with kernels of Cauchy type 47G10 Integral operators Keywords:Poincaré-Bertrand formula; regularization operator; singular integral equations PDFBibTeX XMLCite \textit{S. Huang}, Acta Math. Sci. (Chin. Ed.) 18, No. 3, 257--263 (1998; Zbl 0948.30053)