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.
@article{1174, title = {An other uncertainty principle for the Hankel transform}, journal = {CUBO, A Mathematical Journal}, volume = {17}, year = {2015}, language = {en}, url = {http://dml.mathdoc.fr/item/1174} }
Chettaoui, Chirine. An other uncertainty principle for the Hankel transform. CUBO, A Mathematical Journal, Tome 17 (2015) 16 p. http://gdmltest.u-ga.fr/item/1174/