Inequalities and Local Uncertainty Principles for Nilpotent Lie Groups

被引：1

作者：

Smaoui, K. ^{[1
]}

机构：

[1] Univ Sfax, Higher Inst Informat Technol & Multimedia, Pole Technol Sfax,Route Tunis,BP 242, Sfax, Tunisia

来源：

MATHEMATICAL NOTES | 2019年 / 106卷 / 3-4期

关键词：

local uncertainty inequality; Heisenberg uncertainty inequality; nilpotent Lie group; Plancherel formula;

D O I：

10.1134/S0001434619090128

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to establish a local uncertainty inequality for arbitrary connected, simply connected nilpotent Lie groups. This allows us to prove a couple of global uncertainty inequalities. In the nilpotent case, this type of result is only obtained for the Heisenberg group.

引用

页码：429 / 438

页数：10

共 9 条

[1] Estimate of the Lp-Fourier transform norm on nilpotent Lie groups [J].