Chinese Quarterly Journal of Mathematics ›› 2002, Vol. 16 ›› Issue (4): 48-51.

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A Note on Tight Frames 

  

  1. College of Mathematics and Information Science, Henan University,Kaifeng 475001,China;2.Centrum voor Wiskunde en Informatica,Kruislaan413,A msterdam 1090 GB, The Netherlands
  • Received:2002-09-11 Online:2002-12-30 Published:2024-05-20
  • About author:LI Deng-feng(1964-),male,native of Jiyuan,Henan,Ph.D.,a professor of Henan University‚engages in wavelet analysis‚harmonic analysis and the applications of wavelet in signal processing‚image processing and communications.
  • Supported by:
    Supported by the Natural Science Foundation of Henan Province(0211050300);Supported by the Natural
    Science Foundation of Henan University(2002)

Abstract: 假设Φ(x) ∈L2 (R)且具有紧支集。令V =span{Φ(x-k)|k∈Z}。在这篇短文中 ,我们证明 :如果 {Φ(x -k) |k ∈Z}是V的界为 1的紧框架 ,那么{Φ(x-k) |k∈Z} 一定是V的一个标准正交基 

Key words:  , 框架, 紧框架, 标准正交基,  ,

CLC Number: