<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

Publicado en línea: 30 mar 2021

Páginas: 364 - 374

Recibido: 02 dic 2020

Aceptado: 10 mar 2021

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

Palabras clave
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

Publicado en línea: 30 mar 2021

Páginas: 364 - 374

Recibido: 02 dic 2020

Aceptado: 10 mar 2021

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

Palabras claveDiophantine 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.

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