Explicit inversion formulas for the \(X\)-ray transform in \(\mathbb{Z}^n\)

DOI10.1007/s00009-010-0032-5zbMath1209.44002OpenAlexW1977693693MaRDI QIDQ619628

Ahmed Abouelaz

Publication date: 25 January 2011

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0032-5

zbMATH Keywords

Möbius functioninversion formulasSmith normal form\(d\)-plane Radon transformdilatation of the \(d\)-planesPlancherel's formula

Mathematics Subject Classification ID

Radon transform (44A12) Combinatorial aspects of matroids and geometric lattices (05B35)

Cites Work

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• Diophantine integral geometry
• Integral geometry on discrete Grassmannians in \(\mathbb{Z}^n\)
• Radon transforms on higher rank Grassmannians
• Radon transforms on Grassmann manifolds
• The Radon transform.
• Inversion formulas for the \(k\)-dimensional Radon transform in real hyperbolic spaces
• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
• Radon Inversion--Variations on a Theme
• Radon transforms on affine Grassmannians

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