Strictly positive definite kernels on a product of circles
J. C. Guella, V. A. Menegatto, A. P. Peron
TL;DR
This paper provides a Fourier-based characterization of strictly positive definite kernels that are continuous, isotropic, and defined on a product of circles, advancing understanding of kernel properties in this setting.
Contribution
It introduces a Fourier characterization for strictly positive definite kernels on a product of circles, a novel theoretical result.
Findings
Fourier characterization of kernels
Conditions for strict positive definiteness
Application to isotropic kernels on circles
Abstract
We supply a Fourier characterization for the real, continuous, isotropic and strictly positive definite kernels on a product of circles.
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