Continuous isotropic positive definite kernels on R^d have the form K(x,y) = sum of alpha_n(||x||,||y||) times Gegenbauer polynomials in <x/||x||, y/||y||>, with alpha_n positive definite and zero at the origin.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.ST 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Schoenberg characterization of continuous non-stationary isotropic positive definite kernels
Continuous isotropic positive definite kernels on R^d have the form K(x,y) = sum of alpha_n(||x||,||y||) times Gegenbauer polynomials in <x/||x||, y/||y||>, with alpha_n positive definite and zero at the origin.