Generalized multiresolution structures in reducing subspaces of L~2（R~d）

• 作 者: ZHOU FengYing LI YunZhang
• 机 构: SchoolofScience,CollegeofAppliedSciences
• 出 处: 中国科学：数学英文版
• 发表日期: 2013年3期
• 关键词: 多尺度结构 原子空间 广义 充分必要条件 金字塔分解 空间信号 GMS 次区域 reducing subspace generalized multiresol
• 基金项目: supported by Beijing Natural Science Foundation （Grant No. 1122008）,the Scientific Research Common Program of Beijing Municipal Commission of Education （Grant No.KM201110005030）

In this paper, we introduce the notion of generalized multiresolution structure (GMS) in the set-ting of reducing subspaces of L2(Rd). For a general expansive matrix, we obtain a necessary and sufficient condition for GMS, and prove the existence of GMS i