Plemelj formula of Cauchy type integral on Stein manifolds (Q815125)

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scientific article; zbMATH DE number 5008212
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Plemelj formula of Cauchy type integral on Stein manifolds
scientific article; zbMATH DE number 5008212

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    Plemelj formula of Cauchy type integral on Stein manifolds (English)
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    21 February 2006
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    The second author previously gave a Plemelj formula for the boundary values of the Bochner-Martinelli integral of a Hölder continuous function in the case of a relatively compact domain in~\({\mathbb C}^n\) with piecewise \(C^1\)~smooth boundary [\textit{L. Lin}, J. Xiamen, Univ., Nat. Sci. 25, 128--134 (1986; Zbl 0601.32005); see also papers of \textit{B.~B. Prenov} and \textit{N.~N. Tarkhanov}, Sib. Mat. Zh. 30, No. 1(173), 199--201 (1989; Zbl 0671.32008) and \textit{S.~Chen}, J. Math. Res. Expo. 14, No. 3, 391--398 (1994; Zbl 0886.32002)]. Now the authors generalize this by replacing \({\mathbb C}^n\) with a Stein manifold.
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    Cauchy principal value
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    jump formula
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    solid angle
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