# Publications and Preprints

On some positive definite functions
by
Rajendra Bhatia and Tanvi Jain
We study the function $(1 - \|x\|)/ (1 - \|x\|^r),$ and its reciprocal, on the Euclidean space $\mathbb{R}^n,$ with respect to properties like being positive definite, conditionally positive definite, and infinitely divisible.

isid/ms/2015/10 [fulltext]