Preface.- Part 1. Analysis on Symmetric Spaces. 1 Preliminaries.- 2 The Euclidean case.- 3 Symmetric spaces of the non-compact type.-4 Analogies for compact two-point homogeneous Spaces.- 5 The phase space associated to the Heisenberg group.-Part 2. Offbeat Integral Geometry.- 1 Functions with zero ball means on Euclidean space.- 2 Two-radii theorems in symmetric spaces.- 3 The problem of finding a function from its ball means.- 4 Sets with the...