Journal of East China Normal University(Natural Sc ›› 2006, Vol. 2006 ›› Issue (5): 59-65.

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On the Spectrums of Frame Multiresolution Analysis

XIN You-ming1,2   

  1. 1. Department of Mathematics, East China Normal University, Shanghai}\; 200062, it China;} 2. Department of Mathematics and Physics, Qingdao University of Science and Technology, Shandong Qingdao 266061, China
  • Received:2005-03-03 Revised:2005-10-14 Online:2006-09-25 Published:2012-11-27

Abstract: Conditions for the spectrum of the central space of an FMRA were given, and a new characterization of the spectrums of the central spaces of FMRAs contained in an MRA was developed. It improved the results of H.O. Kim, et al

Key words: multiresolution analysis(MRA), frame multiresolution analysis(FMRA), spectrum, scaling function  

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