On Y. Nievergelt's inversion formula for the Radon transform

2009/08/04 by E. Ournycheva, Boris Rubin, Ournycheva, Elena +1
Mathematics · Medicine · #42C40 (Primary) #44A12 (Secondary) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Medical Imaging Techniques and Applications #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.0908.0492

openalex publication_date 2009/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We generalize Y. Nievergelt's inversion method for the Radon transform on lines in the 2-plane to the k-plane Radon transform of continuous and L^p functions on Rⁿ for all 1≤ k

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