Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (2): 528-539.

• Articles • Previous Articles     Next Articles

An Embedding Theorem of a Class of Bidimensional Frame Multiresolution Analyses

 ZHUNG Zhi-Tao, LI Yun-Zhang   

  1. College of Applied Sciences, Beijing University of Technology, Beijing 100124
  • Received:2008-05-07 Revised:2010-04-20 Online:2011-04-25 Published:2011-04-25
  • Supported by:

    北京市自然科学基金 (1092001)、北京市教委基金和教育部留学回国人员科研启动基金资助

Abstract:

This paper addresses the embedding relation of a frame multiresolution analysis (FMRA) into a multiresolution analysis (MRA) associated with a 2×2 dilation matrix with determinant ±2. It is well-known that 2×2 dilation matrices with  determinant ±2 can be classified as six classes according to integral similarity. For three classes of them, it is proved that an arbitrary FMRA must be contained in some MRA.

Key words: FMRA, MRA, Embedding

CLC Number: 

  • 42C40
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