A new identity for Parseval frames

被引：49
|
作者：
Balan, Radu
Casazza, Peter G.
Edidin, Dan
Kutyniok, Gitta
机构：
[1] Siemens Corp Res, Princeton, NJ 08540 USA
[2] Univ Missouri, Dept Math, Columbia, MO 65211 USA
[3] Univ Giessen, Inst Math, D-35392 Giessen, Germany
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 04期
关键词：
Bessel sequence; frame; Hilbert space; Parseval frame; Parseval Frame Identity;
D O I：
10.1090/S0002-9939-06-08930-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we establish a surprising new identity for Parseval frames in a Hilbert space. Several variations of this result are given, including an extension to general frames. Finally, we discuss the derived results.
引用
收藏
页码：1007 / 1015
页数：9
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