4 papers
Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: The asymptotic approach
Jean Carlo Guella, Janin Jäger
We present sufficient condition for a family of positive definite kernels on a compact two-point homogeneous space to be strictly positive definite based on their representation as…
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic function
Simon Hubbert, Janin Jäger, Jeremy Levesley
We consider the problem of approximating -periodic functions by convolution with a scaled Gaussian kernel. We start by establishing convergence rates to functions from p…
Generalised Wendland functions for the sphere
Simon Hubbert, Janin Jäger
In this paper we compute the spherical Fourier expansions coefficients for the restriction of the generalised Wendland functions from dimensional Euclidean space to the (d-1)-d…
Strict positive definiteness of convolutional and axially symmetric kernels on d-dimensional spheres
Martin Buhmann, Janin Jäger
The paper introduces new sufficient conditions of strict positive definiteness for kernels on d-dimensional spheres which are not radially symmetric but possess specific coefficien…