A singular value decomposition for the radon transform in n -dimensional euclidean space

We construct the singular value decomposition of the Radon transform when the Radon transform is restricted to functions which are either square integrable on the unit disc in IR n with respect to one of the weights (1-r 2)n/2-λ: or square integrable on IR n with respect to exp(r 2). An application to calculating mollifiers for approximate inversion of the sampled Radon transform is discussed. Additional informationNotes on contributors M. E. Davison