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• W2949455146 abstract "We prove that any isotropic positive definite function on the sphere can be written as the spherical self-convolution of an isotropic real-valued function. It is known that isotropic positive definite functions on d-dimensional Euclidean space admit a continuous derivative of order [(d-1)/2]. We show that the same holds true for isotropic positive definite functions on spheres and prove that this result is optimal for all odd dimensions." @default.
• W2949455146 created "2019-06-27" @default.
• W2949455146 creator A5080242685 @default.
• W2949455146 date "2012-01-27" @default.
• W2949455146 modified "2023-09-27" @default.
• W2949455146 title "Convolution roots and differentiability of isotropic positive definite functions on spheres" @default.
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