Some heat operators on \(\mathbb{P}(\mathbb{R}^ d)\) (Q1921302)
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scientific article; zbMATH DE number 915337
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some heat operators on \(\mathbb{P}(\mathbb{R}^ d)\) |
scientific article; zbMATH DE number 915337 |
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Some heat operators on \(\mathbb{P}(\mathbb{R}^ d)\) (English)
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6 November 1997
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The authors construct the heat operator on the Wiener space \(\mathbb{P}(\mathbb{R}^n)\) of continuous maps defined on \([0,1]\) with values in \(\mathbb{R}^n\), by taking the sum of the square of twisted derivatives with respect to an orthonormal basis of the Cameron-Martin space of the Wiener space.
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heat operator
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Wiener space
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twisted derivatives
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Cameron-Martin space
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