We prove some results on the kernel of the Abel transform on an irreducible Riemannian symmetric space X = G=K with G noncompact and complex, in particular an estimate of this kernel. We also study the behaviour of spherical functions near the walls of Weyl chambers. We show how these harmonic spherical analysis results lead to a new proof of a central limit theorem of Guivarc'h and Raugi in th...

A brain surface reconstruction allows advanced analysis of structural and functional brain data that is not possible using volumetric data alone. However, the generation of a brain surface mesh from MRI data often introduces topological defects and artifacts that must be corrected. We show that it is possible to accurately correct these errors using spherical harmonics. Our results clearly demo...