Multi-Wavelet Bessel Sequences in Sobolev Spaces
Received:December 13, 2017  Revised:June 05, 2018
Key Word: multi-wavelet   Bessel sequence   frame   Sobolev spaces  
Fund ProjectL:Supported by the Doctoral Research Project of Yan'an University (Grant No.YDBK2017-21) and the Foundation of Yan'an University (Grant No.YDQ2018-09).
Author NameAffiliation
Jianping ZHANG College of Mathematics and Computer Science, Yan'an University, Shaanxi 716000, P. R. China 
Chuanli CAI College of Mathematics and Computer Science, Yan'an University, Shaanxi 716000, P. R. China 
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Abstract:
      Bessel sequence plays an important role in the study of frames for a Hilbert space with the convergence of a frame series, which has been widely studied in the literature. This paper addresses multi-wavelet Bessel sequences in Sobolev spaces setting, the result obtained is useful for the study of multi-wavelet frames in these spaces.
Citation:
DOI:10.3770/j.issn:2095-2651.2018.05.007
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