Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in $L^{2}$
Classical Analysis and ODEs
2015-05-13 v1
Abstract
We prove sharp Pitt's inequality for the Dunkl transform in with the corresponding weights. As an application, we obtain the logarithmic uncertainty principle for the Dunkl transform.
Keywords
Cite
@article{arxiv.1505.02958,
title = {Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in $L^{2}$},
author = {Dmitry Gorbachev and Valery Ivanov and Sergey Tikhonov},
journal= {arXiv preprint arXiv:1505.02958},
year = {2015}
}
Comments
9 pages