节点文献

Basic Results of Gabor Frame on Local Fields

推荐 CAJ下载
PDF下载
不支持迅雷等下载工具，请取消加速工具后下载。

【Author】 Dengfeng LI Huikun JIANG Institute of Applied Mathematics, College of Mathematics and Information Science, Henan University, Kaifeng 475001, Henan, China. Department of Mathematics, Nanjing University, Nanjing 210093, China.

【摘要】 <正>Basic facts for Gabor frame {Eu(m)bTu(n)ag}m,n∈p on local field are investigated. Accurately, that the canonical dual of frame {Eu(m)bTu(n)ag}m,n∈p also has the Gabor structure is showed; that the product ab decides whether it is possible for {Eu(m)bTu(n)ag}m,n∈p to be a frame for L2(K) is discussed; some necessary conditions and two sufficient conditions of Gabor frame for L2(K) are established. An example is finally given.更多还原

【Abstract】 Basic facts for Gabor frame {Eu(m)bTu(n)ag}m,n∈p on local field are investigated. Accurately, that the canonical dual of frame {Eu(m)bTu(n)ag}m,n∈p also has the Gabor structure is showed; that the product ab decides whether it is possible for {Eu(m)bTu(n)ag}m,n∈p to be a frame for L2(K) is discussed; some necessary conditions and two sufficient conditions of Gabor frame for L2(K) are established. An example is finally given.更多还原

【关键词】 Frame； Gabor frame； Local field；
【Key words】 Frame； Gabor frame； Local field；

【基金】 Project supported by the National Natural Science Foundation of China (No. 10571084, No. 10671062); the Postdoctoral Science Foundation of China (No. 2005037694);the Natural Science Foundation of the Education Department of Henan Province of China (No. 2006110001).

【文献出处】 Chinese Annals of Mathematics ,数学年刊B辑(英文版) , 编辑部邮箱 ,2007年02期

【分类号】O174.2
【被引频次】1
【下载频次】22

知网节下载

节点文献中：

本文链接的文献网络图示:

本文的引文网络

节点文献