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A necessary and sufficient condition for strictly positive definite functions on spheres

  • Chen D
  • Menegatto V
  • Sun X
Proceedings of the American Mathematical Society (2003) 131(9) 2733-2740
DOI: 10.1090/s0002-9939-03-06730-3
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Abstract

We give a necessary and sufficient condition for the strict positive-definiteness of real and continuous functions on spheres of dimension greater than one.

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Chen, D., Menegatto, V. A., & Sun, X. (2003). A necessary and sufficient condition for strictly positive definite functions on spheres. Proceedings of the American Mathematical Society, 131(9), 2733–2740. https://doi.org/10.1090/s0002-9939-03-06730-3

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