陈清江, 李杰. 二元小波紧框架存在的充分条件[J]. 云南大学学报(自然科学版), 2008, 30(3): 217-223.
引用本文: 陈清江, 李杰. 二元小波紧框架存在的充分条件[J]. 云南大学学报(自然科学版), 2008, 30(3): 217-223.
CHEN Qing-jiang, LI Jie. A sufficient condition for the existence of bivariate tight wavelet frames[J]. Journal of Yunnan University: Natural Sciences Edition, 2008, 30(3): 217-223.
Citation: CHEN Qing-jiang, LI Jie. A sufficient condition for the existence of bivariate tight wavelet frames[J]. Journal of Yunnan University: Natural Sciences Edition, 2008, 30(3): 217-223.

二元小波紧框架存在的充分条件

A sufficient condition for the existence of bivariate tight wavelet frames

  • 摘要: 讨论框架多分辨分析Vjj∈Z的子空间V1中若干个二元函数生成小波紧框架的条件.运用矩阵理论、泛函分析方法与逼近论思想,给出s(s≥3)个二元函数生成小波紧框架的充分条件.

     

    Abstract: It is discussed that the conditions on wavelet tight frames which are generated by several bivariate functions ψ1,ψ2,…,ψs ∈ V1 of a frame multiresolution analysisVjj ∈Z.A sufficient condition for the existence of wavelet tight frames generated from those functions is presented by virtue of matrix theory,functioanal analysis methods and ideas of approxi mation.

     

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