These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well as an overview of classical and recent results on som

This text bridges the gap between the classic texts on potential theory and modern books on applied geophysics. It opens with an introduction to potential theor

This monograph records progress in approximation theory and harmonic analysis on balls and spheres, and presents contemporary material that will be useful to an

Analysis on Symmetric spaces, or more generally, on homogeneous spaces of semisimple Lie groups, is a subject that has undergone a vigorous development in recen

This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier seri