Iterated integral operators in Clifford analysis (Q1301257)

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scientific article; zbMATH DE number 1331704
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Iterated integral operators in Clifford analysis
scientific article; zbMATH DE number 1331704

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    Iterated integral operators in Clifford analysis (English)
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    24 July 2000
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    Integral representation formulas are obtained for smooth Clifford-algebra-valued functions \(w\) in bounded smooth domains \(D\) of \(\mathbb{R}^m\). The formulas involve \(\partial^k w\), \(\Delta^k w\), \(\partial\Delta^k w\) on \(D\) and \(\partial D\), with \(\partial\) and \(\Delta\) the Dirac and the Laplace operators.
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    Clifford analysis
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    Cauchy-Pompeiu representation
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    Dirac operator
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    Laplace operator
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