Frames and Riesz bases of twisted shift-invariant spaces in L2(R2n)

被引：13
|
作者：
Radha, R. [1 ]
Adhikari, Saswata [1 ]
机构：
[1] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 434卷 / 02期
关键词：
Bessel sequence; Frames; Integral operator; Riesz basis; Weyl transform; Twisted convolution;
D O I：
10.1016/j.jmaa.2015.07.040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, twisted shift-invariant spaces in L-2(R-2n) are introduced. Characterizations of orthonormal system and Bessel sequence of twisted translates in L-2(R-2n) are obtained in terms of Weyl transform. These results appear to be totally different from the classical case of characterizations of orthonormal systems and Bessel sequences of translates in L-2(R-n). Further, characterizations of frames, Riesz basis in twisted shift-invariant spaces in L-2(R-2n) are also obtained. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：1442 / 1461
页数：20
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