Journal
CONSTRUCTIVE APPROXIMATION
Volume 52, Issue 1, Pages 65-92Publisher
SPRINGER
DOI: 10.1007/s00365-019-09478-x
Keywords
Matrix valued kernels; Conditionally positive definite; Strictly conditionally positive definite; Radial functions
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The purpose of this paper is to provide necessary and sufficient conditions on a continuous and matrix valued radial kernel on a Euclidean space in order that it be conditionally positive definite of a fixed order. Except for the one dimensional Euclidean space, the strict conditional positive definiteness of the kernel is fully characterized.
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