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math.NA2022
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…
math.NA2021
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…