Two conditions for nonuniform Gabor frames

被引:0
|
作者
Liu Youming [1 ]
机构
[1] Beijing Univ Technol, Dept Appl Math, Beijing 100022, Peoples R China
关键词
wavelet; Gabor frame; density;
D O I
10.1016/S0252-9602(06)60065-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A necessary condition is given for general nonuniform Gabor frames, which generalizes Benedetto and Walnut's theorem. A sufficient and necessary condition for a class of nonuniform Gabor frames is proved.
引用
收藏
页码:415 / 420
页数:6
相关论文
共 50 条
  • [1] TWO CONDITIONS FOR NONUNIFORM GABOR FRAMES
    刘有明
    Acta Mathematica Scientia, 2006, (03) : 415 - 420
  • [2] Two sufficient conditions in frequency domain for Gabor frames
    Li, Dengfeng
    Wu, Guochang
    Zhang, Xiaojing
    APPLIED MATHEMATICS LETTERS, 2011, 24 (04) : 506 - 511
  • [3] Necessary conditions for Gabor frames
    Xian-liang SHI & Fang CHEN LMAM
    Science China Mathematics, 2007, (02) : 276 - 284
  • [4] Necessary conditions for Gabor frames
    Shi, Xian-liang
    Chen, Fang
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 50 (02): : 276 - 284
  • [5] Necessary conditions for Gabor frames
    Xian-liang Shi
    Fang Chen
    Science in China Series A: Mathematics, 2007, 50 : 276 - 284
  • [6] Discrete vector-valued nonuniform Gabor frames
    Vashisht, Lalit Kumar
    Malhotra, Hari Krishan
    BULLETIN DES SCIENCES MATHEMATIQUES, 2022, 178
  • [7] Sufficient conditions for irregular Gabor frames
    Feichtinger, Hans G.
    Sun, Wenchang
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2007, 26 (04) : 403 - 430
  • [8] Sufficient conditions for irregular Gabor frames
    Hans G. Feichtinger
    Wenchang Sun
    Advances in Computational Mathematics, 2007, 26 : 403 - 430
  • [9] The existence of tight Gabor duals for Gabor frames and subspace Gabor frames
    Han, Deguang
    JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 256 (01) : 129 - 148
  • [10] Lattice tiling and density conditions for subspace Gabor frames
    Gabardo, Jean-Pierre
    Han, Deguang
    Li, Yun-Zhang
    JOURNAL OF FUNCTIONAL ANALYSIS, 2013, 265 (07) : 1170 - 1189