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The Poincaré-Bertrand Formula for the Bochner-Martinelli Integral

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Abstract.

The Poincaré-Bertrand formula and the composition formula for the Bochner-Martinelli integral on piecewise smooth manifolds are obtained. As an application, the regularization problem for linear singular integral equation with Bochner-Martinelli kernel and variable coefficients is discussed.

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  1. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, P.R. of China

    Tongde Zhong & Lüping Chen

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  1. Tongde Zhong
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  2. Lüping Chen
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Correspondence to Lüping Chen.

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Zhong, T., Chen, L. The Poincaré-Bertrand Formula for the Bochner-Martinelli Integral. Integr. equ. oper. theory 54, 585–595 (2006). https://doi.org/10.1007/s00020-005-1388-y

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  • DOI: https://doi.org/10.1007/s00020-005-1388-y

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