An application to probability laws of the noncontinuity of the inverse Radon transform
type: Item
instance of: scholarly article
title: An application to probability laws of the noncontinuity of the inverse Radon transform
zbMATH Open document ID: 0705.44002
DOI: 10.1016/0167-7152(90)90116-O
author: Eddy Mayer-Wolf
published in: Statistics \& Probability Letters
publication date: 1990-01-01T00:00:00Z
review text: Let Rf be the Radon transform of a function \(f\in L_ 1({\mathbb{R}}^ n)\). A sequence \((f_ k)\) is constructed satisfying \(\| f_ k\|_ 1\geq \gamma >0,\quad \| Rf_ k\|_{\infty,1}\to 0,\quad k\to \infty.\) An application to marginals is given.
Mathematics Subject Classification ID: 44A12
Mathematics Subject Classification ID: 60B10
zbMATH DE Number: 4157231
zbMATH Keywords: inverse Radon transform
zbMATH Keywords: Cramèr-Wold device
zbMATH Keywords: marginals
reviewed by: Frank Natterer
MaRDI profile type: Publication
cites work: Q5560061
cites work: The paley‐wiener theorem for the radon transform
cites work: Uniform asymptotic expansions at a caustic
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cites work: Q3754464
cites work: The X-ray transform
cites work: Practical and mathematical aspects of the problem of reconstructing objects from radiographs
full work available at URL: 0167-7152(90)90116-o
OpenAlex ID: W2092921984
description: scientific article; zbMATH DE number 4157231