Zonoids and conditionally positive definite functions (Q2706899)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zonoids and conditionally positive definite functions |
scientific article |
Statements
21 January 2002
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positive definite function
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zonoid
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support function
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extreme point
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Zonoids and conditionally positive definite functions (English)
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The author presents a new proof of the theorem of \textit{E. D. Bolker} [Trans. Am. Math. Soc. 145, 323-346 (1969; Zbl 0194.23102)] which says that a centrally symmetric convex body in Euclidean space is a zonoid if and only if the function \(-h\) is conditionally positive definite. Here \(h\) denotes the support function of the body. The new proof applies extreme point methods.
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