Integral geometry on discrete Grassmannians 𝔾(d, n) associated to ℤ n

DOI10.1080/10652460903092969zbMath1197.44001OpenAlexW2081342660MaRDI QIDQ3557920

Abdallah Ihsane, Ahmed Abouelaz

Publication date: 28 April 2010

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460903092969

zbMATH Keywords

inversion formulasupport theoremPoisson summation formulasystem of linear diophantine equationsdiscrete \(d\)-plane in \(\mathbb Z^n\)discrete Grassmannian \(\mathbb G(ddiscrete Radon \(d\)-plane transformn)\) associated to \(\mathbb Z^n\)

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Radon transform (44A12) Integral geometry (53C65)

Related Items (3)

Towards weakly constrained double field theory ⋮ Radon transform on the torus ⋮ The \(d\)-plane Radon transform on the torus \(\mathbb T^n\)

Cites Work

• Diophantine integral geometry
• Radon transforms on Grassmann manifolds
• The Radon transform.
• On Systems of Linear Diophantine Equations
• Radon transforms on affine Grassmannians
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