This is an announcement for the paper "Elementary inversion of Riesz potentials and Radon-John transforms" by Boris Rubin. Abstract: New simple proofs are given to some elementary approximate and explicit inversion formulas for Riesz potentials. The results are applied to reconstruction of functions from their integrals over Euclidean planes in integral geometry. Archive classification: math.FA Remarks: 9 pages Submitted from: borisr@math.lsu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1101.5105 or http://arXiv.org/abs/1101.5105