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

A full exposition of the classical theory of spherical harmonics and their use in proving stability results.

This is the first comprehensive exposition of the application of spherical harmonics to prove geometric results. The author presents all the necessary tools fro

The purpose of this book is to present the three basic ideas of geometrical probability, also known as integral geometry, in their natural framework. In this wa

Handbook of Convex Geometry, Volume B offers a survey of convex geometry and its many ramifications and connections with other fields of mathematics, including