Sharp endpoint estimates for the X-ray transform and the Radon transform in finite fields

2012/09/06 by Doowon Koh, Koh, Doowon · 2 citations
Computer Science · Mathematics · #43A32 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Coding theory and cryptography #Cryptography and Residue Arithmetic #FOS: Mathematics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1209.1215

openalex publication_date 2012/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This note establishes sharp L^p-L^r estimates for X-ray transforms and Radon transforms in finite fields.

Cited by

• Solving Admissibility for the Spatial X-Ray Transform On the Two Element Field
• The functional Loomis-Whitney type inequality in the Heisenberg groups and Projection theorems over finite fields

Related

• Sharp L^p-L^r estimates for k-plane transforms in finite fields
• An x-ray estimate in Rⁿ
• Hyperplane integrability conditions and smoothing for Radon transforms
• Estimates for singular integrals and extrapolation
• The Radon transform with finitely many angles