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.
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