期刊文献+

广义框架的Aldroubi判定准则

Aldroubi Judging Criterions of Generalized Frames
在线阅读 下载PDF
导出
摘要 广义框架包含了通常框架近期的各种各样拓广,在框架理论中具有重要意义.本文利用线性算子理论将通常框架的著名Aldroubi结论拓广到广义框架上,建立广义框架的Aldroubi判定准则. Generalized frames cover many other recent generalizations of ordinary frames with grent significance in frame theory.The famous Aldroubi results of ordinary frames are extended to the generalized frames by using the theory of linear operator,and Aldroubi judging criterions of generalized frames are established in this paper.
作者 高文君 朱媛
出处 《河南大学学报(自然科学版)》 CAS 北大核心 2011年第2期115-117,共3页 Journal of Henan University:Natural Science
基金 国家自然科学基金资助项目(61071189)
关键词 框架 广义框架 线性算子 frame generalized frame linear operator
  • 相关文献

参考文献2

二级参考文献40

  • 1Duffin, R. J., Schaeffer, A. C.: A class of nonharmonic Fourier series. Trans. Amer. Math. Soc., 72, 341-366 (1952)
  • 2Casazza, P. G.: The art of frame theory. Taiwan Residents J. of Math., 4(2), 129-201 (2000)
  • 3Christensen, O.: An Introduction to Prames and Riesz Bases, Birkhauser, Boston, 2003
  • 4Christensen, O.: Frames, Riesz bases, and discrete Gabor/wavelet expansions. Bull. Amer. Math. Soc., 38(3), 273-291 (2001)
  • 5Yang, D. Y., Zhou, X. W., Yuan, Z. Z.: Frame wavelets with compact supports for L2(Rn). Acta Mathernatica Sinica, English Series, 23(2), 349-356 (2007)
  • 6Li, Y. Z.: A class of bidimensional FMRA wavelet frames. Acta Mathematica Sinica, English Series, 22(4), 1051-1062 (2006)
  • 7Zhu, Y. C.: q-Besselian frames in Banach spaces. Acta Mathematica Sinica, English Series, 23(9), 1707- 1718 (2007)
  • 8Li, C. Y., Cao, H. X.: Xd frames and Reisz bases for a Banach space. Acta Mathematica Sinica, Chinese Series, 49(6), 1361-1366 (2006)
  • 9Sun, W.: G-frames and g-Riesz bases. J. Math. Anal. Appl., 322(1), 437-452 (2006)
  • 10Sun, W.: Stability of g-frames. J. Math. Anal. Appl., 326(2), 858-868 (2007)

共引文献36

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