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A kind of integral representation on Riemannian manifods

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Wuhan University Journal of Natural Sciences

Abstract

We generalized the Bochner-Martinelli integral representation to that on Riemannian manifolds. Things become quite different in such case. First we define a kind of Newtonian potential and take the interior product of its gradient to be the integral kernel. Then we prove that this kernel is harmonic in some sense. At last an integral representative theorem is proved.

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Authors and Affiliations

  1. Department of Mathematics, Wuhan University, 430072, Wuhan, China

    Hu Jicheng

Authors
  1. Hu Jicheng
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Additional information

Hu Jicheng, born in July, 1965, Ph.D. Current research interest is in function theory, including wavelet analysis and singular integral equations

Supported by the National Natural Science Foundation of China

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Jicheng, H. A kind of integral representation on Riemannian manifods. Wuhan Univ. J. of Nat. Sci. 1, 14–16 (1996). https://doi.org/10.1007/BF02827570

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  • DOI: https://doi.org/10.1007/BF02827570

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