4 papers · 1 filter
Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions
Pier Giovanni Bissiri, Valdir A. Menegatto, Emilio Porcu
Positive definite functions on spheres have received an increasing interest in many branches of mathematics and statistics. In particular, the Schoenberg sequences in the spectral…
Strictly Positive Definite Functions on Compact Two-Point Homogeneous Spaces: the Product Alternative
Rafaela N. Bonfim, Jean C. Guella, Valdir A. Menegatto
For two continuous and isotropic positive definite kernels on the same compact two-point homogeneous space, we determine necessary and sufficient conditions in order that their pro…
Strictly positive definite kernels on a product of spheres
Jean C. Guella, Valdir A. Menegatto
For the real, continuous, isotropic and positive definite kernels on a product of spheres, one may consider not only its usual strict positive definiteness but also strict positive…
Differentiable positive definite functions on two-point homogeneous spaces
V. S. Barbosa, V. A. Menegatto
In this paper we study continuous kernels on compact two point homogeneous spaces which are positive definite and zonal (isotropic). Such kernels were characterized by R. Gangolli…