On Fréchet differentiability of Lipschitzian functions on spaces with Gaussian measures (Q960737)
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scientific article; zbMATH DE number 5493422
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Fréchet differentiability of Lipschitzian functions on spaces with Gaussian measures |
scientific article; zbMATH DE number 5493422 |
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On Fréchet differentiability of Lipschitzian functions on spaces with Gaussian measures (English)
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19 January 2009
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There is a Borel function \(f\) on \({\mathbb R}^{\infty}\) that is Lipschitz with constant~1 along the Cameron-Martin space such that the set of points of Fréchet differentiablity along \(H\) for \(f\) has \(\gamma\)-measure zero, where \(\gamma\) is the standard Gaussian product measure on~\({\mathbb R}^{\infty}\).
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Fréchet differentiability
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Lipschitz function
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Gaussian measure
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Cameron-Martin space
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0.92860377
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0.9229849
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0.9226109
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0.9200223
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0.91742414
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0.9154648
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0.9141919
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