| 非均匀Gabor框架的稳定性 |
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| 引用本文： | 唐青松,张祥德,陆小军,朱和贵.非均匀Gabor框架的稳定性[J].纯粹数学与应用数学,2009,25(4):828-832. |
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| 作者姓名： | 唐青松 张祥德 陆小军 朱和贵 |
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| 作者单位： | 东北大学数学系,辽宁,沈阳,110004 |
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| 摘 要： | 研究了当窗函数变化时非均匀Gabor框架的稳定性.对紧支撑Gabor框架,将均匀情况下关于稳定性的结论推广到了非均匀的情况;对一般的Gabor框架,利用W（L^∞,e^1）范数给出了其稳定的一个充分条件.
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| 关 键 词： | Gabor框架 稳定性 Wiener混合模空间 |
On the stability of irregular Gabor frames |
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| TANG Qing-song,ZHANG Xiang-de,LU Xiao-jun,ZHU He-gui.On the stability of irregular Gabor frames[J].Pure and Applied Mathematics,2009,25(4):828-832. |
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| Authors: | TANG Qing-song ZHANG Xiang-de LU Xiao-jun ZHU He-gui |
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| Institution: | TANG Qing-song,ZHANG Xiang-de,LU Xiao-jun,ZHU He-gui (School of Science,Northeastern University,Shenyang 110004,China) |
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| Abstract: | When the window functions are changed,the stability of irregular Gabor frames are studied in this paper. The results of the stability regular Gabor frames are extended into the stability regular Gabor frames,and a sufficient conditions on the stability of irregular Gabor frames is given by W(L~∞,e~1). |
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| Keywords: | Gabor frames stability Wiener amalgam spaces |
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