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A sufficient condition for affine frames with matrix dilation
  • 期刊名称：Anal. Theory Appl.
  • 时间：0
  • 页码：166-174
  • 语言：中文
  • 分类：TN911.7[电子电信—通信与信息系统;电子电信—信息与通信工程] O174.2[理学—数学;理学—基础数学]
  • 作者机构：[1]Henan University, China, [2]Hunan Normal University, China
  • 相关基金：Supported by the National Natural Science Foundation of China （No. 10671062）, Innovation Scientists and Technicians Troop Construction Projects of Henan Province of China （No.084100510012） and the Natural Science Foundation for the Education Department of Henan Province of China （No.2008B510001）.
  • 相关项目：调和分析与小波的若干问题
作者： D.F.Li （李登峰）|X.L.Shi （施咸亮）|
关键词： 膨胀矩阵, 仿射框架, 充分条件, 层面, frame, wavelet, affine frame, expansive matrix dilation
中文摘要：

为有任意的矩阵膨胀的仿射的框架的一个足够的条件被介绍。它由史基于 univariate 格，并且与一个任意的实数从一种尺寸概括史， Casazza 和 Christensen 的 univariate 结果一(】 1 ) 膨胀到有任意的广泛的矩阵膨胀的更高的尺寸。

英文摘要：

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.

同期刊论文项目
调和分析与小波的若干问题
期刊论文 45 会议论文 4 著作 1
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