期刊文献+

K-框架扰动的新结果

New Outcome on Perturbation of K-Frames
下载PDF
导出
摘要 研究了K-框架扰动稳定性,并给出了1系数扰动和3系数扰动的新结果. This paper addresses the perturbation of K - frame. We have obtained new perturba- tion results with coefficient one and coefficient three for K- frames.
作者 张旭东 孟彬
出处 《西安文理学院学报(自然科学版)》 2015年第1期6-9,18,共5页 Journal of Xi’an University(Natural Science Edition)
基金 国家自然科学基金项目(NO.11171151)
关键词 K-框架 BESSEL序列 扰动 K - frames Bessel sequence perturbation
  • 相关文献

参考文献12

  • 1DUFFIN R J ,SCHAEFFER A C. A class of nonharmonic Fourier series [ J]. Trans Amer Math Soc, 1952,72 : 341 - 366.
  • 2DAUBECHIES . Ten Lectures on Wavelets[ M ]. Philadelphia: SIAM, 1992.
  • 3CHRISTENSEN O. An Introduction to Frames andRiesz Bases [ M ]. Boston:Birkhauser,2002.
  • 4FEICHTINGER H G, STROHMER T. Gabor Analysis and Algorithms : Theory and Application [ M ]. Boston : Birkhauser, 1998.
  • 5FEICHTINGER H G, STROHMER T. Advances in Gabor Analysis [ J ]. Boston: Birkhauser ,2003.
  • 6GASAZZA P G. Modern tools for Weyl - Heisenberg ( Gabor ) frame theory [ J J. Adv Imag Elect Phys, 2001,115 ( 1 ) : 1 - 127.
  • 7GAVRUTA L. Frames for operators [ J]. Appl Comp Harm Anal,2012,32:139 - 144.
  • 8GAVRUTA L. Perturbation of K - frames [ J ]. Bul St Univ Politehnica Timisoara,2011,56 ( 70 ) : 48 - 53.
  • 9GAVRUTA L. New results on frames for operators [ J]. Proc. Intern. Conf. Sciences, 11 - 12 Nov. 2011, Oradea, Accpted.
  • 10丁明玲,肖祥春,曾晓明.Hilbert空间中的紧K-框架[J].数学学报(中文版),2013,56(1):105-112. 被引量:11

二级参考文献44

  • 1Duffin R J, Schaeffer A C. A class of nonharmonic Fourier series. Trans Amer Math Soc, 1952, 72(2): 341-366
  • 2Daubechies I. Ten Lectures on Wavelets. Philadelphia: SIAM, 1992
  • 3Christensen O. An Introduction to Frames and Riesz Bases. Boston: Birkhauser, 2002
  • 4Feichtinger H G, Strohmer T. Gabor Analysis and Algorithms: Theory and Applications. Boston: Birkhλuser, 1998
  • 5Feichtinger H G, Strohmer T. Advances in Gabor Analysis. Boston: Birkhauser, 2003
  • 6Casazza P G. Modern tools for Weyl-Heisenberg(Gabor) frame theory. Adv Imag Elect Phys, 2001, 115(1): 1-127
  • 7Christensen O. A Paley-Wiener theorem for frames. Proc Amer Math Soc, 1995, 123(7): 2199-2202
  • 8Casazza P G, Christensen O. Perturbation of operators and applications to frame theory. J Fourier Anal Appl, 1997, 3(5): 543-557
  • 9Christensen O. Frames, Riesz bases and discrete Gabor/wavelet expansions. Bull Amer Math Soc, 2001, 38(3): 273-291
  • 10Casazza P G, Christensen O. Frames containing a Riesz basis and preservation of this property under perturbations. SIAM J Math Anal, 1998, 29(1): 266-278

共引文献16

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