Invariant valuations on star-shaped sets (Q677491)
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scientific article; zbMATH DE number 997650
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant valuations on star-shaped sets |
scientific article; zbMATH DE number 997650 |
Statements
Invariant valuations on star-shaped sets (English)
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9 April 1997
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A star-shaped set \(K\subseteq \mathbb{R}^n\) is called an \(L^p\)-star if its radius function is \(L^p\)-integrable. Author gives complete characterizations of the rotation invariant and the \(SL(n)\)-invariant valuations on the set of all \(L^n\)-stars.
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star-shaped set
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valuations
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