Elementary Inversion of Riesz Potentials and Radon-John Transforms

Details Elementary Inversion of Riesz Potentials and Radon-John Transforms Elementary Inversion of Riesz Potentials and Radon-John Transforms

2011-01-26

arxiv.org/abs/1101.5105v1

Mathematics

Functional Analysis

9 pages

Scientific paper

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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