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Strict positive definiteness on a product of compact two-point homogeneous spaces
Published 23 May 2016 in math.FA | (1605.07071v1)
Abstract: We present an explicit characterization for the real, continuous, isotropic and strictly positive definite kernels on a product of compact two-point homogeneous spaces, in the cases in which at least one of the spaces is a sphere of dimension greater than 1 and the other is not a circle. The result complements similar characterizations previously obtained for products of high dimensional spheres.
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