De Rham-Hodge-Kodaira's decomposition on an abstract Wiener space (Q1087193)
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scientific article; zbMATH DE number 3988293
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | De Rham-Hodge-Kodaira's decomposition on an abstract Wiener space |
scientific article; zbMATH DE number 3988293 |
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De Rham-Hodge-Kodaira's decomposition on an abstract Wiener space (English)
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1986
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The author discusses differential forms on an abstract Wiener space using the Malliavin calculus, more precisely Sobolev spaces on abstract Wiener spaces. After introducing a suitable de Rham-Hodge-Kodaira Laplacian, he proves a decomposition theorem for n-forms using harmonic forms.
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abstract Wiener space
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Malliavin calculus
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de Rham-Hodge-Kodaira- decomposition
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