3 citations · 10 across the 7 of their papers we have counts for
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math.OC2019
Reducing non-negativity over general semialgebraic sets to non-negativity over simple sets
Olga Kuryatnikova, Juan C. Vera, Luis F. Zuluaga
A non-negativity certificate (NNC) is a way to write a polynomial so that its non-negativity on a semialgebraic set becomes evident. Positivstellensätze (Psätze) guarantee the exis…
math.CA2019★ 3 cited
Generalizations of Schoenberg's theorem on positive definite kernels
Olga Kuryatnikova, Juan C. Vera
The seminal theorem of I.J. Schoenberg characterizes positive definite (p.d.) kernels on the unit sphere invariant under the automorphisms of the sphere. We obtain two ge…