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29 March 2024
 
  » arxiv » math.CA/0208129

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Sufficient Conditions for the Inversion Formula for the k-plane Radon Transform in R^n
Sine R. Jensen ;
Date 16 Aug 2002
Subject Classical Analysis and ODEs MSC-class: 44A12 | math.CA
AbstractThe inversion theorem for the k-plane Radon transform in R^n is often stated for Schwartz functions, and lately for smooth functions on R^n fulfilling that f(x)=O(|x|^{-N}) for some N>n. In this paper it will be shown, that it suffices to require that f is locally Holder continuous and f(x)=O(|x|^{-N}) for some N>k (N not necessarily an integer), and that a slightly weaker inversion formula holds when f with the same decay as before is only continuous.
Source arXiv, math.CA/0208129
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