华东师范大学学报(自然科学版) ›› 2006, Vol. 2006 ›› Issue (5): 59-65.

• 数学 统计学 • 上一篇    下一篇

框架多分辨分析谱的研究

辛友明1,2   

  1. 1. 华东师范大学 数学系, 上海 200062; 2. 青岛科技大学 数理系, 山东 青岛 266061
  • 收稿日期:2005-03-03 修回日期:2005-10-14 发布日期:2006-09-25
  • 通讯作者: 辛友明

On the Spectrums of Frame Multiresolution Analysis(Chinese)

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 Published:2006-09-25
  • Contact: XIN You-ming

摘要： 首先给出了一个可测集是框架多分辨分析(FMRA)谱的充分和必要条件,然后用一种新的方法刻画了包含于给定多分辨分析(MRA)的框架多分辨分析(FMRA)的谱. 这是对 H.O. Kim等人研究的改进.

关键词: 机多分辨分析(MRA), 框架多分辨分析(FMRA), 谱, 尺度函数, 机多分辨分析(MRA), 框架多分辨分析(FMRA), 谱, 尺度函数

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

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