Journal of East China Normal University(Natural Sc ›› 2006, Vol. 2006 ›› Issue (3): 44-50.

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On the Existence of Wavelets for Non-Expansive Dilation Matrices(Chinese)

GUO Feng-chen   

  1. Department of Mathematics, East China Normal University, Shanghai 200062, China
  • Received:2004-07-07 Revised:2004-11-17 Online:2006-05-25 Published:2006-05-25
  • Contact: GUO Feng-chen

Abstract: Let D be a collection of invertible n×n real matrices and Γ a collection of points in Rn. this paper proved that when D={Aj,j∈Z}, A is a real n×n matrix, such that
A be diagonal matrix with submatrices us its elemets, where A1 is expansive, A2 is idempotent with det A2≠0, then there exists a (D,Γ) wavelet.

Key words: FONT-FAMILY: 宋体, mso-bidi-font-family: 'Times New Roman', mso-font-kerning: 1.0pt, mso-ansi-language: VI, mso-fareast-language: ZH-CN, (D, FONT-FAMILY: 宋体, mso-bidi-font-family: 'Times New Roman', mso-font-kerning: 1.0pt, mso-ansi-language: VI, mso-fareast-language: ZH-CN

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