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基于塔式分解格式的仿射伪框架
  • ISSN号：1003-0972
  • 期刊名称：《信阳师范学院学报：自然科学版》
  • 时间：0
  • 分类：O174.2[理学—数学;理学—基础数学]
  • 作者机构：[1]信阳职业技术学院数学与计算机系,河南信阳464000, [2]西安建筑科技大学理学院,陕西西安710055
  • 相关基金：国家自然科学基金资助项目（10671154）;西安建筑科技大学资助项目（RC0701,JC0718）
作者： 李华[1], 徐向阳[1], 陈清江[2]
关键词： 广义多分辨结构, 塔式分解格式, 子空间伪框架, 仿射框架, generalized muhiresolution structure, pyramid decomposition scheme , pseudoframes of subspaces , affine frames
中文摘要：

引进了仿射伪框架的概念,建立了广义多分辨结构的塔式分解格式,给出了塔式分解格式成立的充要条件.由塔式分解格式导出空间L^2（R）的函数仿射框架展式.

英文摘要：

The definition of aftine pseudoframes for subspaces is introduced. The pyramid decomposition scheme of a generalized multiresolution structure is proposed, which is similar to Mallat＇s pyramid algorithm. A necessary and sufficient condition for the existence of the pyramid decomposition scheme is presented. Finally,affine frames of L^2（R） are constructed by virtue of the pyramid decomposition scheme.

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期刊信息
  • 《信阳师范学院学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:信阳师范学院
  • 主办单位:信阳师范学院
  • 主编：刘彦明
  • 地址：河南省信阳市南湖路
  • 邮编：464000
  • 邮箱：xblk@xynu.edu.cn
  • 电话：0376-6393516
  • 国际标准刊号：ISSN：1003-0972
  • 国内统一刊号：ISSN：41-1107/N
  • 邮发代号:36-122
  • 获奖情况:
  • 河南省优秀科技期刊,河南省优秀学报
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,英国农业与生物科学研究中心文摘,波兰哥白尼索引,德国数学文摘,美国剑桥科学文摘,英国动物学记录,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:5214