A Note on Shift-Invariant Spaces Admitting a Single Generator

被引:0
|
作者
Jun Jian ZHAODepartment of MathematicsTianjin Polytechnic UniversityTianjin PRChinaCollege of Applied SciencesBeijing University of TechnologyBeijing PRChina [1 ,21 ,300160 ,2 ,100124 ]
机构
关键词
D O I
暂无
中图分类号
O174.2 [傅里叶分析(经典调和分析)];
学科分类号
摘要
In 2005,Garcia,Perez-Villala and Portal gave the regular and irregular sampling formulas in shift invariant space VΦ via a linear operator T between L2(0,1) and L2(R).In this paper,in terms of bases for L2(0,α),two sampling theorems for αZ-shift invariant spaces with a single generator are obtained.
引用
收藏
页码:123 / 128
页数:6
相关论文
共 50 条
  • [11] INTERSECTION OF DILATES OF SHIFT-INVARIANT SPACES
    Bownik, Marcin
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 137 (02) : 563 - 572
  • [12] Frames for Weighted Shift-invariant Spaces
    Stevan Pilipović
    Suzana Simić
    Mediterranean Journal of Mathematics, 2012, 9 : 897 - 912
  • [13] Characterizations of principal shift-invariant spaces
    Wu Z.
    Applied Mathematics-A Journal of Chinese Universities, 2002, 17 (3) : 291 - 300
  • [14] Frames by Iterations in Shift-invariant Spaces
    Aguilera, Alejandra
    Cabrelli, Carlos
    Carbajal, Diana
    Paternostro, Victoria
    2019 13TH INTERNATIONAL CONFERENCE ON SAMPLING THEORY AND APPLICATIONS (SAMPTA), 2019,
  • [15] Frames for Weighted Shift-invariant Spaces
    Pilipovic, Stevan
    Simic, Suzana
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2012, 9 (04) : 897 - 912
  • [16] Construction of Frames for Shift-Invariant Spaces
    Pilipovic, Stevan
    Simic, Suzana
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
  • [17] The spectral function of shift-invariant spaces
    Bownik, M
    Rzeszotnik, Z
    MICHIGAN MATHEMATICAL JOURNAL, 2003, 51 (02) : 387 - 414
  • [18] Shift-invariant spaces on LCA groups
    Cabrelli, Carlos
    Paternostro, Victoria
    JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 258 (06) : 2034 - 2059
  • [19] Sequence Dominance in Shift-Invariant Spaces
    Beric, Tomislav
    Sikic, Hrvoje
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2020, 26 (04)
  • [20] Dynamical Sampling in Shift-Invariant Spaces
    Aceska, Roza
    Aldroubi, Akram
    Davis, Jacqueline
    Petrosyan, Armenak
    COMMUTATIVE AND NONCOMMUTATIVE HARMONIC ANALYSIS AND APPLICATIONS, 2013, 603 : 139 - 148