The Radon transform is an important topic in integral geometry which
deals with the problem of expressing a function on a manifold in terms
of its integrals over certain submanifolds. Solutions to such problems
have a wide range of applications, namely to partial differential
equations, group representations, X-ray technology, nuclear magnetic
resonance scanning, and tomography. This second edition, significantly
expanded and updated, presents new material taking into account some of
the progress made in the field since 1980. Aimed at beginning graduate
students, this monograph will be useful in the classroom or as a
resource for self-study. Readers will find here an accessible
introduction to Radon transform theory, an elegant topic in integral
geometry.