On the Range of the Radon Transform on Z n and the Related Volberg's Uncertainty Principle

Ahmed Abouelaz, Abdallah Ihsane, Takeshi Kawazoe

Research output: Contribution to journalArticle

Abstract

We characterize the image of exponential type functions under the discrete Radon transform R on the lattice Z n of the Euclidean space R n n ≥ 2. We also establish the generalization of Volberg's uncertainty principle on Z n, which is proved by means of this characterization. The techniques of which we make use essentially in this paper are those of the Diophantine integral geometry as well as the Fourier analysis.

Original languageEnglish
Article number375017
JournalJournal of Mathematics
Volume2015
DOIs
Publication statusPublished - 2015 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)

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