Oblique Projections and Sampling Problems

被引：0
|
作者：
Gustavo Corach
Juan I. Giribet
机构：
[1] University of Buenos Aires,Instituto Argentino de Matemática
来源：
Integral Equations and Operator Theory | 2011年 / 70卷
关键词：
Primary 94A20; Secondary 47A58; Consistent sampling; oblique projections;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work, the consistent sampling requirement of signals is studied. We establish how this notion is related with certain set of projectors which are selfadjoint with respect to a semi-inner product. We extend previous results and present some new problems related with sampling theory.
引用
收藏
页码：307 / 322
页数：15
相关论文
共 50 条
  • [1] Oblique Projections and Sampling Problems
    Corach, Gustavo
    Giribet, Juan I.
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2011, 70 (03) : 307 - 322
  • [2] Sampling and Reconstruction in Distinct Subspaces Using Oblique Projections
    Berger, Peter
    Groechenig, Karlheinz
    Matz, Gerald
    [J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2019, 25 (03) : 1080 - 1112
  • [3] Sampling theory, oblique projections and a question by Smale and Zhou
    Antezana, Jorge
    Corach, Gustavo
    [J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2006, 21 (02) : 245 - 253
  • [4] Sampling and Reconstruction in Distinct Subspaces Using Oblique Projections
    Peter Berger
    Karlheinz Gröchenig
    Gerald Matz
    [J]. Journal of Fourier Analysis and Applications, 2019, 25 : 1080 - 1112
  • [5] OBLIQUE SAMPLING OF PROJECTIONS FOR DIRECT 3-DIMENSIONAL RECONSTRUCTION
    HARAUZ, G
    GORDON, R
    VANHEEL, M
    [J]. COMPUTER VISION GRAPHICS AND IMAGE PROCESSING, 1987, 38 (01): : 81 - 89
  • [6] OBLIQUE PROJECTIONS
    BLACK, PJ
    [J]. ACTA CRYSTALLOGRAPHICA, 1955, 8 (10): : 656 - 657
  • [7] Oblique Projections
    Veselic, K.
    [J]. DAMPED OSCILLATIONS OF LINEAR SYSTEMS: A MATHEMATICAL INTRODUCTION, 2011, 2023 : 55 - 60
  • [8] Oblique projections and standard-form transformations for discrete inverse problems
    Hansen, Per Christian
    [J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2013, 20 (02) : 250 - 258
  • [9] Weighted generalized inverses, oblique projections, and least-squares problems
    Corach, G
    Maestripieri, A
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2005, 26 (06) : 659 - 673
  • [10] Nonlinear oblique projections
    Beltita, Ingrid
    Beltita, Daniel
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 533 : 451 - 467
12345