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

By Debao Chen, Valdir Antonio Menegatto, Xingping Sun. 2003

132 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8e6de3ee0758e6eb32af649a31dbe5cce9d17fe0

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1. Haimeng Zhang
2. Scott M. Robeson
3. Chunfeng Huang
4. Alessandra Menafoglio

Citations in the corpus

• On the Validity of Commonly Used Covariance and Variogram Functions on the Sphere (2011, background): “The case of α = 1 in the power model yields the coefficients ((8 )i nAppendix )t o be zero for all even terms and positive for all odd terms, which does not satisfy the necessary condition in Chen et al. (2003) .”