<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this note, we study the Radon transform and its dual on the discrete matrices by defining hyperplanes as being infinite sets of solutions of linear Diophantine equations. We then give an inversion formula and a support theorem.</p>
</abstract>

In this note, we study the Radon transform and its dual on the discrete matrices by defining hyperplanes as being infinite sets of solutions of linear Diophantine equations. We then give an inversion formula and a support theorem.

Integral geometry on discrete matrices

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Integral geometry on discrete matrices"}

In this note, we study the Radon transform and its dual on the discrete matrices by defining hyperplanes as being infinite sets of solutions of linear...

Integral geometry on discrete matrices

Published Online: Mar 30, 2021

Page range: 364 - 374

Received: Dec 02, 2020

Accepted: Mar 10, 2021

DOI: https://doi.org/10.2478/mjpaa-2021-0024

Keywords
Diophantine equations, Hyperplane, Grassmannian, Radon transform of discrete matrices, Inversion formula, Support theorem

© 2021 Abdelbaki Attioui, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Integral geometry on discrete matrices

Published Online: Mar 30, 2021

Page range: 364 - 374

Received: Dec 02, 2020

Accepted: Mar 10, 2021

DOI: https://doi.org/10.2478/mjpaa-2021-0024

KeywordsDiophantine equations, Hyperplane, Grassmannian, Radon transform of discrete matrices, Inversion formula, Support theorem

© 2021 Abdelbaki Attioui, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Diophantine equations, Hyperplane, Grassmannian, Radon transform of discrete matrices, Inversion formula, Support theorem