Strictly positive definite kernels on a product of circles

Abstract

We supply a Fourier characterization for the real, continuous, isotropic and strictly positive definite kernels on a product of circles.

References in corpus (1)

• An extension of a theorem of Schoenberg to products of spheres

Cited by in corpus (6)

• Strictly Positive Definite Kernels on a Product of Spheres II
• A panorama of positivity
• Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions
• Strictly Positive Definite Functions on Compact Two-Point Homogeneous Spaces: the Product Alternative
• Characterization of Strict Positive Definiteness on products of complex spheres
• A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces