A kind of integral representation on Riemannian manifods |
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Authors: | Hu Jicheng |
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Affiliation: | (1) Department of Mathematics, Wuhan University, 430072 Wuhan, China |
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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. 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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Keywords: | Riemannian manifold integral representation Newtonian potential |
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