PORTUGALIAE MATHEMATICA Vol. 57, No. 4, pp. 443458 (2000) 

Zonoids and Conditionally Positive Definite FunctionsMarkus BurgerMathematisches Institut II, Universität Karlsruhe,D76128 Karlsruhe  GERMANY Abstract: It is wellknown in convex geometry that a centrally symmetric convex body $Z\subset\R^d$ is a zonoid (a limit of sums of line segments), if and only if its support function $h$ has the property that $h$ is conditionally positive definite. Here, we give a new proof of this result using extreme point methods. Full text of the article:
Electronic version published on: 31 Jan 2003. This page was last modified: 27 Nov 2007.
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