A multidimensional distribution sampling theorem

被引:0
|
作者
Vieli, Francisco Javier Gonzalez
机构
关键词
sampling theorem; distributions; Fourier transform;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Using Bochner-Riesz means we get a multidimensional sampling theorem for band-limited functions with polynomial growth, that is, for functions which are the Fourier transform of compactly supported distributions.
引用
收藏
页码:341 / 347
页数:7
相关论文
共 50 条
  • [41] Magnetotelluric sampling theorem
    Utada, Hisashi
    Rung-Arunwan, Tawat
    Siripunvaraporn, Weerachai
    EARTH PLANETS AND SPACE, 2024, 76 (01):
  • [42] A NOTE ON THE SAMPLING THEOREM
    FOGEL, LJ
    IRE TRANSACTIONS ON INFORMATION THEORY, 1955, 1 (01): : 47 - 48
  • [43] SHANNON SAMPLING THEOREM
    DODSON, M
    CURRENT SCIENCE, 1992, 63 (05): : 253 - 260
  • [44] GENERALIZED SAMPLING THEOREM
    ISOMICHI, Y
    ELECTRONICS & COMMUNICATIONS IN JAPAN, 1969, 52 (02): : 129 - &
  • [45] ORIGINS OF SAMPLING THEOREM
    LUKE, HD
    NACHRICHTENTECHNISCHE ZEITSCHRIFT, 1978, 31 (04): : 271 - 273
  • [46] An aspect of the sampling theorem
    Zhou, XW
    Sun, WC
    INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2005, 3 (02) : 247 - 255
  • [47] Revision of the Sampling Theorem
    Mircea, Bujor
    2016 IEEE 22ND INTERNATIONAL SYMPOSIUM FOR DESIGN AND TECHNOLOGY AND ELECTRONIC PACKAGING (SIITME), 2016, : 66 - 69
  • [48] AN APPLICATION OF THE SAMPLING THEOREM
    Long Jingfan and Fang Gensun(Beijing Normal University
    Approximation Theory and Its Applications, 1999, (02) : 84 - 89
  • [49] Frames and sampling theorem
    Sun, WC
    Zhou, XW
    SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1998, 41 (06): : 606 - 612
  • [50] A distributional sampling theorem
    Liu, YM
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (04) : 1153 - 1157