An other uncertainty principle for the Hankel transform

Chirine Chettaoui

doi:10.4067/S0719-06462015000200002

An other uncertainty principle for the Hankel transform

Authors

Chirine Chettaoui Département de Mathématiques et d‘Informatique, Institut national des sciences appliquées et de Thechnologie, Centre Urbain Nord BP 676 - 1080 Tunis cedex, Tunisia.

DOI:

https://doi.org/10.4067/S0719-06462015000200002

Keywords:

Uncertainty principle, Hausdorff-Young inequality, entropy, Hankel transform

Abstract

We use the Hausdorff-Young inequality for the Hankel transform to prove the uncertainly principle in terms of entropy. Next, we show that we can obtain the Heisenberg-Pauli-Weyl inequality related to the same Hankel transform.