Characterization of Shift-Invariant Spaces on a Class of Nilpotent Lie Groups with Applications

被引：0
|
作者：
Bradley Currey
Azita Mayeli
Vignon Oussa
机构：
[1] Saint Louis University,Department of Mathematics and Computer Science
[2] City University of New York,Department of Mathematics and Computer Science
[3] Queensborough,Department of Mathematics
[4] Bridgewater State University,undefined
来源：
Journal of Fourier Analysis and Applications | 2014年 / 20卷
关键词：
Nilpotent Lie groups; Shift-invariant subspaces; Frame and Reisz bases; 43; 46; 41;
D O I：
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学科分类号：
摘要：
Given a simply connected nilpotent Lie group having unitary irreducible representations that are square-integrable modulo the center, we use operator-valued periodization to give a range-function type characterization of shift-invariant spaces of function on the group. We then give characterizations of frame and Riesz families for shift-invariant spaces.
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页码：384 / 400
页数：16
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