Localization of Frames
Received:March 05, 2008  Revised:January 05, 2009
Key Words: frame   localization   Banach frame   density.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10571089).
Author NameAffiliation
Yan Hong WU Department of Mathematics and LPMC, Nankai University, Tianjin 300071, P. R. China 
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Abstract:
      Gr\"ochenig and Balan, Casazza, Heil, and Landau introduced the concepts of localization. The concepts were used to Gabor frames, wavelet frames and sampling theorem in recent years. Here they are applied to the frame of exponential windows with the conclusion that the frame of exponential windows is a Banach frame for a kind of Banach spaces, and the conclusion is also obtained about the relationship between frame bounds, frame density, measure and density of indexing set.
Citation:
DOI:10.3770/j.issn:1000-341X.2010.01.007
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