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De Rham-Hodge-Kodaira decomposition in \(\infty\)-dimensions - MaRDI portal

De Rham-Hodge-Kodaira decomposition in \(\infty\)-dimensions (Q1191420)

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scientific article; zbMATH DE number 59950
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De Rham-Hodge-Kodaira decomposition in \(\infty\)-dimensions
scientific article; zbMATH DE number 59950

    Statements

    De Rham-Hodge-Kodaira decomposition in \(\infty\)-dimensions (English)
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    27 September 1992
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    The de Rham-Hodge-Kodaira decompositions associated with an infinite dimensional Laplace-Beltrami operator, which is introduced by the first author are discussed, and new fundamental spaces of test functionals associated with spaces of differential 0-forms which are defined in the present paper, are proposed.
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    de Rham complex
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    infinite dimensional analysis
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    de Rham-Hodge-Kodaira decompositions
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    spaces of test functionals
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    spaces of differential 0- forms
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