An other uncertainty principle for the Hankel transform

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DOI:

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

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.

Keywords

Uncertainty principle , Hausdorff-Young inequality , entropy , Hankel transform
  • 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.
  • Pages: 15-30
  • Date Published: 2015-06-01
  • Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal

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Published

2015-06-01

How to Cite

[1]
C. Chettaoui, “An other uncertainty principle for the Hankel transform”, CUBO, vol. 17, no. 2, pp. 15–30, Jun. 2015.

Issue

Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal

Section

Articles