期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Localization of Frames

Localization of Frames
下载PDF
导出
摘要 Grochenig and Balan, Casazza, Heil, and Landau introduced the concepts of localization. The concepts were used to Gabor frames, wavelet frames and sampling theorem in recent years. Here they are applied to the frame of exponential windows with the conclusion that the frame of exponential windows is a Banach frame for a kind of Banach spaces, and the conclusion is also obtained about the relationship between frame bounds, frame density, measure and density of indexing set. Grochenig and Balan, Casazza, Heil, and Landau introduced the concepts of localization. The concepts were used to Gabor frames, wavelet frames and sampling theorem in recent years. Here they are applied to the frame of exponential windows with the conclusion that the frame of exponential windows is a Banach frame for a kind of Banach spaces, and the conclusion is also obtained about the relationship between frame bounds, frame density, measure and density of indexing set.
作者 Yan Hong WU
机构地区 Department of Mathematics and LPMC
出处 《Journal of Mathematical Research and Exposition》 CSCD 2010年第1期78-86,共9页 数学研究与评论（英文版）
基金 Supported by the National Natural Science Foundation of China (Grant No.10571089)
关键词 FRAME LOCALIZATION Banach frame density. frame localization Banach frame density.
分类号 TP183 [自动化与计算机技术—控制理论与控制工程] O177.2 [理学—基础数学]
  • 相关文献

参考文献10

  • 1ALDROUBI A, GROCHENIG K. Nonuniform sampling and reconstruction in shift-inwariant spaces [J]. SIAM Rev., 2001, 43(4): 585-620.
  • 2BALAN R, CASAZZA P G, HEIL C. et al. Density, overcompleteness, and localization of frames (Ⅰ) [J]. Theory. J. Fourier Anal. Appl., 2006, 12(2): 105-143.
  • 3GROCHENIG K. Localization of frames, Banach frames, and the invertibility of the frame operator [J]. J. Fourier Anal. Appl., 2004, 10(2): 105-132.
  • 4BALAN R, CASAZZA P G, HEIL C. et al. Density, overcompleteness, and localization of frames (Ⅱ) [J]. J. Fourier Anal. Appl:., 2006, 12(3): 309-344.
  • 5CORDERO E, GROCHENIG K. Localization of frames (Ⅱ) [J]. Appl. Comput. Harmon. Anal., 2004, 17(1): 29-47.
  • 6FORNASIER M, GROCHENIG K. Intrinsic localization of frames [J]. Constr. Approx., 2005, 22(3): 395- 415.
  • 7BALAN R, CASAZZA P G, HEIL C. et al. Deficits and excesses of frames [J]. Adv. Comput. Math., 2003, 18(2-4): 93-116.
  • 8BALAN R, CASAZZA P G, HEIL C. et al. Excesses of Gabor frames [J]. Appl. Comput. Harmon. Anal., 2003, 14(2): 87-106.
  • 9CHRISTENSEN O. An Introduction to Frames and Riesz Bases [M]. Birkhauser Boston, Inc., Boston, 2003.
  • 10FUTAMURA F. Banach framed, decay in the context of localization [J]. Sampl. Theory Signal Image Process., 2007, 6(2): 151-166.
Journal of Mathematical Research and Exposition
2010年 第1期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部