Diophantine integral geometry
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Publication:931349
DOI10.1007/s00009-008-0137-2zbMath1182.44002OpenAlexW1968676867MaRDI QIDQ931349
Ahmed Abouelaz, Abdallah Ihsane
Publication date: 25 June 2008
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-008-0137-2
inversion formulasupport theoremdiscrete Fourier transformlinear diophantine equationsPoisson summation formuladiscrete Radon transformdiscrete moments condition
Radon transform (44A12) Numerical methods for discrete and fast Fourier transforms (65T50) Integral geometry (53C65) Linear Diophantine equations (11D04)
Related Items (7)
Characterizations of function spaces by the discrete Radon transform ⋮ Explicit inversion formulas for the \(X\)-ray transform in \(\mathbb{Z}^n\) ⋮ On the range of the Radon transform on \(\mathbb Z^n\) and the related Volberg's uncertainty principle ⋮ Radon transform on the torus ⋮ Integral geometry on discrete Grassmannians 𝔾(d, n) associated to ℤ n ⋮ Holomorphic extension of certain discrete functions on \(\mathbb{Z}^n\) and the related problems ⋮ Integral geometry on discrete Grassmannians in \(\mathbb{Z}^n\)
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