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Nonexistence of homotopy formula for (0,1) forms on hypersurfaces in \({\mathbb{C}}^ 3\) - MaRDI portal

Nonexistence of homotopy formula for (0,1) forms on hypersurfaces in \({\mathbb{C}}^ 3\) (Q1262464)

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scientific article; zbMATH DE number 4124258
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English
Nonexistence of homotopy formula for (0,1) forms on hypersurfaces in \({\mathbb{C}}^ 3\)
scientific article; zbMATH DE number 4124258

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    Nonexistence of homotopy formula for (0,1) forms on hypersurfaces in \({\mathbb{C}}^ 3\) (English)
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    1989
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    The authors establish a result, of a sort this reviewer has never seen, establishing nonexistence of certain approximate homotopy formulas for the \(\partial\)-problem. Such formulas have proved useful in the reviewer's joint work with R. E. Greene, and the fact that they do not always exist in an important information.
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    Cauchy-Riemann equations
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    nonexistence
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    homotopy formulas
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