Uniqueness of the polar factorisation and projection of a vector-valued mapping. (Q1810731)
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scientific article; zbMATH DE number 1924839
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness of the polar factorisation and projection of a vector-valued mapping. |
scientific article; zbMATH DE number 1924839 |
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Uniqueness of the polar factorisation and projection of a vector-valued mapping. (English)
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9 June 2003
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The authors study the polar factorization of integrable vector-valued functions. First, it is shown that there are integrable functions which have no polar factorizations. Further, it is proved the uniqueness of the polar factorization when it exists. Finally, it is given a relation between polar factorizations and measure-preserving mappings.
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polar factorisation
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monotone rearrangement
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measure-preserving mappings
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\(L^2\)-projection
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0.8470709919929504
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0.8234311938285828
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