The \(d\)-plane Radon transform on the torus \(\mathbb T^n\)

DOI10.2478/s13540-011-0014-8zbMath1312.44003OpenAlexW2462642770MaRDI QIDQ2347537

Ahmed Abouelaz

Publication date: 28 May 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s13540-011-0014-8

zbMATH Keywords

Fourier transforminversion formulacharacterization of the range\(d\)-plane Radon transform on the torus

Mathematics Subject Classification ID

Radon transform (44A12) Combinatorial aspects of matroids and geometric lattices (05B35) Linear Diophantine equations (11D04)

Related Items (6)

Towards weakly constrained double field theory ⋮ Torus Computed Tomography ⋮ Tensor tomography in periodic slabs ⋮ Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems ⋮ Fourier analysis of periodic Radon transforms ⋮ On Radon transforms on tori

Cites Work

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• Integral geometry on discrete Grassmannians 𝔾(d, n) associated to ℤ ⁿ
• On Y. Nievergelt's inversion formula for the Radon transform
• Radon Inversion--Variations on a Theme
• Sur la transformation de Radon de la sphère $S\sp d$
• Radon transforms on affine Grassmannians

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