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Some inequalities for linear canonical Fourier transform

Mohammed El Bouazizi1, Mohamed El Hamma1, Radouan Daher1
1Laboratoire d’Analyse Mathématique, Algèbre et Applications, Faculté des Sciences Aın Chock, Université Hassan II, B.P 5366 Maarif, Casablanca, Maroc
Copyright © Mohammed El Bouazizi, Mohamed El Hamma, Radouan Daher. 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.

Abstract

The linear canonical Fourier transform, (LCFT), satisfies some uncertainty principales similar to classical Fourier transform. The aim of this paper is to prove a generalization of these principles for the LCFT.

Keywords: linear canonical Fourier transform, Heisenberg’s inequality