A SUFFICIENT CONDITION FOR AFFINE FRAMES WITH MATRIX DILATION

A sufficient condition for affine frame with an arbitrary matrix dilation is presented. It is based on the univariate case by Shi, and generalizes the univariate results of Shi, Casazza and Christensen from one dimension with an arbitrary real number a （a 〉 1） dilation to higher dimension with an ar...

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Bibliographic Details
Published inAnalysis in theory & applications no. 2; pp. 166 - 174
Main Author Dengfeng Li Xianliang Shi
Format Journal Article
LanguageChinese
Published 2009
Subjects
仿射框架
充分条件
层面
膨胀矩阵
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ISSN1672-4070
1573-8175

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Summary:A sufficient condition for affine frame with an arbitrary matrix dilation is presented. It is based on the univariate case by Shi, and generalizes the univariate results of Shi, Casazza and Christensen from one dimension with an arbitrary real number a （a 〉 1） dilation to higher dimension with an arbitrary expansive matrix dilation.
Bibliography:32-1631/O1
frame, wavelet, affine frame, expansive matrix dilation
TN911.7
O174.2
ISSN:1672-4070
1573-8175