New inheritance technique transfers positive definiteness from R^d to S^d for odd d, with explicit proof that (τ - t)_+^δ functions are positive definite on S^2 for δ ≥ (d+1)/2 under τ restrictions, verifying a prior conjecture.
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Isotropic Positive Definite Functions on Spheres
New inheritance technique transfers positive definiteness from R^d to S^d for odd d, with explicit proof that (τ - t)_+^δ functions are positive definite on S^2 for δ ≥ (d+1)/2 under τ restrictions, verifying a prior conjecture.