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Strictly Positive Definite Functions on Compact Two-Point Homogeneous Spaces: the Product Alternative

Strictly Positive Definite Functions on Compact Two-Point Homogeneous Spaces: the Product Alternative

For two continuous and isotropic positive definite kernels on the same compact two-point homogeneous space, we determine necessary and sufficient conditions in order that their product be strictly positive definite.We also provide a similar characterization for kernels on the space-time setting G × S d , where G is a …