Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in $L^{2}$

Autor:	Gorbachev, Dmitry, Ivanov, Valery, Tikhonov, Sergey
Rok vydání:	2015
Předmět:	Mathematics - Classical Analysis and ODEs 42B10 (Primary) 33C45 33C52 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We prove sharp Pitt's inequality for the Dunkl transform in $L^{2}(\mathbb{R}^{d})$ with the corresponding weights. As an application, we obtain the logarithmic uncertainty principle for the Dunkl transform. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1505.02958 Zobrazit plný text záznamu View this record from Arxiv