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广义框架的一些等式和不等式
  • 期刊名称：数学年刊
  • 时间：0
  • 页码：513-518
  • 语言：中文
  • 分类：O174.2[理学—数学;理学—基础数学]
  • 作者机构：[1]河南大学应用数学研究所,数学与信息科学学院,河南开封475001, [2]南开大学数学科学学院,核心数学与组合数学教育部重点实验室,天津300071
  • 相关基金：国家自然科学基金（No.10571089,No.10671062）,教育部新世纪优秀人才支持计划基金,河南省创新型科技人才队伍建设工程基金（No.084100510012）和河南省教育厅自然科学基金（No.20088510001）资助的项目.致谢 感谢南开大学陈省身数学研究所提供的方便和支持.
  • 相关项目：调和分析与小波的若干问题
作者： 李登峰|孙文昌|
关键词： 框架, 紧框架, 广义框架, Frame, Tight frame, Generalized frame
中文摘要：

广义框架是框架的推广，它包含了Hilbert空间中通常框架的最近各种拓广.建立广义框架的一些等式和不等式.所得结果推广和改进了Balan R.，Casazza P.G.，Edidin D.和Kutyniok G.的结果.特别地，说明了不等式中的界是最佳的.

英文摘要：

Generalized frames are natural generalizations of frames which include various generalizations of ordinary frames in Hilbert spaces.This paper establishes some equalities and inequalities for generalized frames.These results extend and improve the results obtained by Balan R.,Casazza P.G.,Edidin D.and Kutyniok G..Moreover,it is illustrated that the lower bound in the inequality is the best possible.

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期刊论文 23 获奖 6
调和分析与小波的若干问题
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