The Characterization of Orthogonal Affine Bivariate Pseudoframes

摘要：

The frame theory has been one of powerful tools for researching into wavelets. The notion of the bivariate generalized multiresolution structure (BGMS) is presented. The concepts of Bessel sequences and orthogonal bivariate pseudoframes are introduced. Two Bessel sequences are said to be orthogonal ones if the composition of synthesis operator of one sequence with the analysis operator of the other is the zero-operator. It is characterized that when two Bessel sequences are orthogonal while the Bessel sequences possess the form of translates of a finite number of bivariate functions in L2(R2). A constructive method for affine frames of L2(R2) based on a BGMS is established.

关键词： Orthogonal pseudoframes bivariate generalized multiresolution structure dual frames Bessel sequence affine frames iteration method subspace frames

作者: Qingjiang Chen Fang Lin

作者单位: School of Science,Xian University of Architecture and Technology,Xian 710055,China

会议类型: 国际会议

会议名称: 2010 International Conference on Material and Manufacturing Technology(2010材料与制造技术国际会议 ICMMT2010)

会议地点: 重庆

会议语种:英文

页码: 33-37

在线出版日期: 2010-09-17（万方平台首次上网日期，不代表论文的发表时间）