Strictly positive definite functions on the real line

Fabrice Derrien (1)

1 LML - Laboratoire de Mathématiques de Lens

We give some necessary or sufficient conditions for a function to be strictly positive definite on $\mathbb R$. This problem is intimately linked with the repartition of the zeros of trigonometric polynomials.

Mots clés: Strictly positive definite functions; Bochner's theorem; Scattered data interpolation

Domaines: Analyse classique [math.CA]

Fabrice Derrien. Strictly positive definite functions on the real line. 2010. ⟨hal-00519325⟩