Elementary Inversion of Riesz Potentials and Radon-John Transforms

2011/01/26 by Boris Rubin, Rubin, Boris
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1101.5105

9 pages

arxiv created 2011/01/26 · arxiv updated 2011/01/27

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.

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