On iterations of Green type integrals for matrix factorizations of the Laplace operator (Q1335475)

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scientific article; zbMATH DE number 650739
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On iterations of Green type integrals for matrix factorizations of the Laplace operator
scientific article; zbMATH DE number 650739

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    On iterations of Green type integrals for matrix factorizations of the Laplace operator (English)
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    10 October 1994
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    Summary: Convergence of special Green integrals for matrix factorization of the Laplace operator in \(\mathbb{R}^n\) is proved. Explicit formulae for solutions of the \(\overline{\partial}\)-equation in strictly pseudo-convex domains in \(\mathbb{C}^n\) are obtained.
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    differential operator with injective symbol
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    Dolbeault complex
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    Green integrals
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    matrix factorization
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    Laplace operator
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    \(\overline{\partial}\)-equation
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    strictly pseudo-convex domains
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