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.

Develops the new field of retrieving information about geometric objects from projections on planes.

Explores relationship between Fourier Analysis, convex geometry, and related areas; in the past, study of this relationship has led to important mathematical ad

A comprehensive introduction to convex bodies giving full proofs for some deeper theorems which have never previously been brought together.