Fabian Stallbauer

A Deformation Approach to Axially Symmetric Kernels on the Sphere: Harmonic Coupling and Regularity

In this paper, we construct axially symmetric kernels on the sphere. We start by taking an isotropic kernel and transform it into an axially symmetric kernel via a specific deformation. For a general deformation, an explicit spherical-harmonic representation is not necessarily available. For our deformation, we can obt...