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On some positive definite functions

Published 26 Sep 2014 in math.FA | (1409.7479v1)

Abstract: We study the function $(1 - |x|)\slash (1 - |x|r),$ and its reciprocal, on the Euclidean space $\mathbb{R}n,$ with respect to properties like being positive definite, conditionally positive definite, and infinitely divisible.

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