An extension of a theorem of Schoenberg to products of spheres
classification
🧮 math.CA
keywords
characterizationpositiveschoenbergspheresalongclassicalcontinuousdefinite
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We present a characterization for the continuous, isotropic and positive definite kernels on a product of spheres along the lines of a classical result of I. J. Schoenberg on positive definiteness on a single sphere. We also discuss a few issues regarding the characterization, including topics for future investigation.
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