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math.CA2022
Positive definite matrix-valued kernels and their scalar valued projections: counterexamples
Jean Carlo Guella
In this paper we show that the strictly positive definite matrix valued isotropic kernels in the circle and the real dot product kernels in Euclidean spaces are not well behaved wi…
math.CA2022
Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: The asymptotic approach
Jean Carlo Guella, Janin Jäger
We present sufficient condition for a family of positive definite kernels on a compact two-point homogeneous space to be strictly positive definite based on their representation as…