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arxiv: 1511.02523 · v2 · pith:KWJ3WJCQnew · submitted 2015-11-08 · 🧮 math.FA

Modified Radon transform inversion using moments in mathbb{R}²

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keywords modifiedradontransforminversionmomentsconsidereddatadensity
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A modified Radon transform for noisy data is introduced and its inversion formula is established. The problem of recovering the multivariate probability density function $f$ from the moments of its modified Radon transform $\widehat{R}f$ is considered.

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