Frames and Riesz bases for shift invariant spaces on the abstract Heisenberg group

被引：9
|
作者：
Arati, S. [1 ]
Radha, R. [1 ]
机构：
[1] Indian Inst Technol Madras, Dept Math, Madras 600036, Tamil Nadu, India
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2019年 / 30卷 / 01期
关键词：
Frames; Heisenberg group; Locally compact abelian group; Riesz basis; Shift invariant spaces; Twisted translates;
D O I：
10.1016/j.indag.2018.09.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a second countable locally compact abelian group. The aim of this paper is to characterize the left translates on the Heisenberg group H(G) to be frames and Riesz bases in terms of the group Fourier transform. (C) 2018 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：106 / 127
页数：22
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