Integral geometry on discrete Grassmannians in \(\mathbb{Z}^n\)

DOI10.1007/s00009-009-0010-yzbMath1192.44002OpenAlexW2075527794MaRDI QIDQ1038597

Abdallah Ihsane, Enrico Casadio Tarabusi, Ahmed Abouelaz

Publication date: 18 November 2009

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

Full work available at URL: https://doi.org/10.1007/s00009-009-0010-y

zbMATH Keywords

Fourier transformRadon transformgroup actionsintegral geometryinversion formulassublatticesSmith normal formsupport theoremsdual Radon transformsystems of linear Diophantine equations

Mathematics Subject Classification ID

Radon transform (44A12) Integral geometry (53C65) Combinatorial aspects of matroids and geometric lattices (05B35) Linear Diophantine equations (11D04)

Related Items

Explicit inversion formulas for the \(X\)-ray transform in \(\mathbb{Z}^n\) ⋮ Radon transform on the torus ⋮ The \(d\)-plane Radon transform on the torus \(\mathbb T^n\)

Cites Work

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• Sur la transformation de Radon de la sphère $S\sp d$
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