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Open Journal of Mathematical Analysis (OMA)

ISSN: 2616-8111 (Online) 2616-8103 (Print)
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  • Research article

On some uncertainty principles for the multidimensional Fourier-Bessel transform

Fatima Elgadiri1, Abdellatif Akhlidj1
1Departement of Mathematics, Faculty of Sciences Ain Chock, University of Hassan II, Casablanca, Morocco
Copyright © Fatima Elgadiri, Abdellatif Akhlidj. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • Received: 23/11/2025
  • Revised: 03/02/2026
  • Published: 31/12/2025

Abstract

The multidimensional Fourier-Bessel transform is a generalization of Fourier-Bessel transform that obeys the same uncertainty principles as the classical Fourier transform. In this paper, we establish the following uncertainty principles; an \(L^p-L^q\)-version of Morgan’s theorem, the Donoho-Stark uncertainty principles and bandlimited principles of concentration type for the multidimensional Fourier-Bessel transform.

Keywords: multidimensional fourier-Bessel transform, Morgan’s theorem, Donoho-Stark uncertainty principle, bandlimited uncertainty principles