Abstract
AbstractWe present sufficient conditions for a family of positive definite kernels on a compact two-point homogeneous space to be strictly positive definite based on their expansion in eigenfunctions of the Laplace–Beltrami operator. We also present a characterisation of this kernel class. The family analyzed is a generalization of the isotropic kernels and the case of a real sphere is analyzed in details.
Funder
Deutsche Forschungsgemeinschaft
Fundaçz̃o de Amparo à Pesquisa do Estado de São Paulo
Katholische Universität Eichstätt-Ingolstadt
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics,Theoretical Computer Science,Analysis
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