Open AccessA variety of uncertainty principles for the Hankel-Stockwell transform
Author(s) -
Khaled Hleili
Publication year - 2021
Publication title -
open journal of mathematical analysis
Language(s) - English
Resource type - Journals
eISSN - 2616-8111
pISSN - 2616-8103
DOI - 10.30538/psrp-oma2021.0079
Subject(s) - uncertainty principle , hankel transform , pauli exclusion principle , mathematics , type (biology) , variety (cybernetics) , work (physics) , calculus (dental) , algebra over a field , pure mathematics , mathematical analysis , quantum mechanics , physics , fourier transform , statistics , medicine , ecology , dentistry , quantum , biology
In this work, we establish \(L^p\) local uncertainty principle for the Hankel-Stockwell transform and we deduce \(L^p\) version of Heisenberg-Pauli-Weyl uncertainty principle. Next, By combining these principles and the techniques of Donoho-Stark we present uncertainty principles of concentration type in the \(L^p\) theory, when \(1< p\leqslant2\). Finally, Pitt's inequality and Beckner's uncertainty principle are proved for this transform.