Continuity of the radon transform and its inverse on Euclidean space

Gaussian surface measures and the radon transform on separable banach spaces

The Bochner and Riesz integral representations for the Radon transform

On the Problem of Well-Posedness for the Radon Transform

In this note, we first discuss some continuity and discontinuity properties of the inverse Radon transform (R.t.). Any such property gives a positive (or negative) answer to the question, whether under certain contitions the problem of inverting the R.t. is well-posed.

Gaussian plane and spherical means in separable Hilbert spaces

On the asymptotic behaviour of gaussian spherical integrals

On the range of the radon transform and its dual