The \(L_p\)-Gaussian Minkowski problem (Q2065058)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(L_p\)-Gaussian Minkowski problem |
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The \(L_p\)-Gaussian Minkowski problem (English)
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7 January 2022
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The author extends the Minkowski problem from Gaussian probability spaces to a so-called \(L^p\)-\textit{Gaussian problem}. The existence and uniqueness of a \(\sigma\)-symmetric weak solution are proven in case \(p \geq 1\). Among the various additional results necessary for proving the main statements, some are interesting by themselves as well.
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Minkowski problem
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Gaussian probability spaces
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\(\sigma\)-symmetric weak solutions
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