The Plemelj formula of higher order partial derivatives of the Bochner-Martinelli type integral (Q814369)
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scientific article; zbMATH DE number 5003818
| Language | Label | Description | Also known as |
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| English | The Plemelj formula of higher order partial derivatives of the Bochner-Martinelli type integral |
scientific article; zbMATH DE number 5003818 |
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The Plemelj formula of higher order partial derivatives of the Bochner-Martinelli type integral (English)
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7 February 2006
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The authors obtain an analogue of the Plemelj formula for the derivatives of the integral of Bochner-Martinelli type over the boundary of a closed smooth manifold in \(C^{n}\). These formulas are used for investigation of the boundary value problem of the form \(D^{\kappa}\Phi^{+}(t)=D^{\kappa}\Phi^{-}(t)+f(t)\).
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Plemelj formula
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higher order partial derivative
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Bochner-Martinelli kernel
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Hadamard principal value
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integral transformation
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boundary value problem
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