Schoenberg’s theorem on positive definite functions on spheres

E2232807 UNEXPLORED

Schoenberg’s theorem on positive definite functions on spheres characterizes all positive definite kernels on spherical spaces by representing them as mixtures of Gegenbauer (ultraspherical) polynomials, providing a foundational tool in harmonic analysis and spatial statistics.

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I. J. Schoenberg notableFor Schoenberg’s theorem on positive definite functions on spheres