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Hilbert空间中连续框架扰动的新结果 被引量:4

New perturbation result on continuous frames in Hilbert space
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摘要 研究了Hilbert空间中连续框架的扰动性.运用算子理论方法,给出了连续框架扰动的新结果,所得结果包含一些已知的扰动结果,展示了新结果在研究连续框架扰动性理论中的重要作用. The perturbation of continuous frames was studied and one new result of continuous frames perturbation in Hilbert spaces was obtained by utilizing the method of operator theory,and it showed that many known results are its corollaries,indicating the important role of this new result in perturbation theory of continuous frames.
出处 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2013年第3期405-408,共4页 Journal of Lanzhou University(Natural Sciences)
基金 国家自然科学基金项目(10771082)
关键词 连续框架 扰动 HILBERT空间 continuous frame perturbation Hilbert space
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参考文献19

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同被引文献41

  • 1Duffin R J, Schaeffer A C. A class of nonharmonic Fourier seriers [J]. Trans Amer Math Soc, 1952, 72(2): 341-366.
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  • 10Balan R, Casazza P G, Edidin D, et al. A new identity for Parseval frames [J]. Proc Amer Math Soc, 2007 135(4): 1007-1015.

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