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Poincaré-Bertrand transformation formula of Cauchy-type singular integrals in Clifford analysis. (English) Zbl 1238.30036
The authors investigate the Poincaré-Bertrand transformation formula of Cauchy-type singular integrals of double multi-variables Clifford functions by using a Grassman algebra and compact Lyapunov surfaces based on the paper of S. Huang [Acta Math. Sin. 41, No. 1, 119–126 (1998; Zbl 1059.30040)].

MSC:
30G30 Other generalizations of analytic functions (including abstract-valued functions)
30G35 Functions of hypercomplex variables and generalized variables
45E05 Integral equations with kernels of Cauchy type
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