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伪仿射对偶框架
引用本文:仇昌荣,高德智.伪仿射对偶框架[J].应用数学与计算数学学报,2009,23(1):13-18.
作者姓名:仇昌荣  高德智
作者单位:1. 青岛农业大学海都学院,青岛,265200
2. 山东科技大学信息科学与工程学院,青岛,265200
摘    要:对于给定冗余的仿射框架X(Ф)={Ф1,…,ФL),存在对偶Y(ψ)={ψ1,…,ψL),这个对偶可能不是仿射框架,因为它不满足Bessel条件.这样的对偶我们称为伪仿射对偶,并给出伪仿射对偶框架的一种构造公式.

关 键 词:框架  伪对偶  仿射框架

Pseudo Affine Dual Frame
Qiu Changrong,Gao Dezhi.Pseudo Affine Dual Frame[J].Communication on Applied Mathematics and Computation,2009,23(1):13-18.
Authors:Qiu Changrong  Gao Dezhi
Affiliation:Qiu Changrong, Gao Dezhi (Haidu College, Qingdao Agricultural University, Qingdao 265200, China; Information Science and Engineering College,Shandong University of Science and Technology, Qingdao 265200, China)
Abstract:For the given and redundant affine frame X (Ф) = {Ф1,… ,ФL}, there exists dual Y (ψ) = {ψ1,…, ψL}. This dual, which is called pseudo affine dual, is possibly not a affine frame. Because it can't satisfy Bessel condition. We will present a structural formula about pseudo affine dual frame.
Keywords:frame  pseudo dual  affine frame
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