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arXiv · 1409.7479

On some positive definite functions

Rajendra Bhatia·Tanvi Jain
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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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Rajendra Bhatia, Tanvi Jain. 2014-09-26. On some positive definite functions. https://arxiv.org/abs/1409.7479

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