Wavelet Riesz bases in the space l2 (Z)

被引:0
|
作者
Pevnyi, A. B. [1 ]
机构
[1] Syktyvkar State Univ, Dept Math, Syktyvkar 167001, Russia
基金
俄罗斯基础研究基金会;
关键词
multiresolution analysis; discrete signals; Riesz bases;
D O I
10.1142/S0219691306001373
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
In this paper, the wavelet Riesz bases in the space l(2)(Z) are studied. The main tool employed is discrete splines, which have received a considerable attention by many authors. The discrete splines are used for multiresolution analysis of the space l(2)(Z).
引用
收藏
页码:447 / 459
页数:13
相关论文
共 50 条
  • [1] Phase space localization of Riesz bases for L2(Rd)
    Groechenig, Karlheinz
    Malinnikova, Eugenia
    [J]. REVISTA MATEMATICA IBEROAMERICANA, 2013, 29 (01) : 115 - 134
  • [2] HIGH-PERFORMANCE VERY LOCAL RIESZ WAVELET BASES OF L2(Rn)
    Hur, Youngmi
    Ron, Amos
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 44 (04) : 2237 - 2265
  • [3] Riesz bases in subspaces of L2(R+)
    Goodman, TNT
    Micchelli, CA
    Shen, Z
    [J]. CONSTRUCTIVE APPROXIMATION, 2001, 17 (01) : 39 - 46
  • [4] Riesz Bases in Subspaces of L2 (R+ )
    T. N. T. Goodman
    C. A. Micchelli
    Z. Shen
    [J]. Constructive Approximation, 2001, 17 : 39 - 46
  • [5] Exponential Riesz Bases in L2 on Two Intervals
    Belov, Yurii
    Mironov, Mikhail
    [J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024, 2024 (07) : 5403 - 5433
  • [6] On the Riesz bases, frames and minimal exponential systems in L2 [- π, π]
    Nakamura, Akihiro
    [J]. HOKKAIDO MATHEMATICAL JOURNAL, 2011, 40 (01) : 89 - 102
  • [7] A criterion of Riesz basis property for L2 space
    Sarsenbi, A. M.
    [J]. 39TH INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE13), 2013, 1570 : 356 - 359
  • [8] L2,z ⊗ L2,Z does not embed in L2,z
    Brownlowe, Nathan
    Sorensen, Adam P. W.
    [J]. JOURNAL OF ALGEBRA, 2016, 456 : 1 - 22
  • [9] Construction of multivariate compactly supported prewavelets in L2 space and pre-Riesz bases in Sobolev spaces
    Lai, Ming-Jun
    [J]. JOURNAL OF APPROXIMATION THEORY, 2006, 142 (02) : 83 - 115
  • [10] Operator-Like Wavelet Bases of L2(Rd)
    Khalidov, Ildar
    Unser, Michael
    Ward, John Paul
    [J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2013, 19 (06) : 1294 - 1322