Characterization of biorthogonal cosine wavelets

被引:0
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作者
Charles K. Chui
Xianliang Shi
机构
[1] Texas A&M University,Center for Approximation Theory
关键词
Orthonormal Basis; Window Function; Riesz Base; Frame Bound; Biorthogonal System;
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学科分类号
摘要
This paper is devoted to the study of characterization of two-overlapping dual window functions that give rise to biorthogonal Schauder bases, frames, and Riesz bases by modulation of the cosines. We show that in this case any frame is a Riesz basis and our characterization of Riesz bases may be considered as a generalization of the theorems established by Coifman, et al. [6] and by Jawerth and Sweldens [9].
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页码:559 / 575
页数:16
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