基于塔式分解格式的多尺度平移伪框架的特征  

Character of multi-scaled translation pseudo-frames based on a pyramid decomposition format

作　　者：李红武[1] 张瑛[2] 

机构地区：[1]南阳师范学院数学与统计学院,河南南阳473061 [2]商丘职业技术学院教务处,河南商丘476000

出　　处：《兰州理工大学学报》2011年第2期131-136,共6页Journal of Lanzhou University of Technology

基　　金：陕西省自然科学基金(2009JM1002);河南省科技发展计划资助项目(102300410219)

摘　　要：引进多尺度平移伪框架的概念.借助于算子理论与滤波器理论,刻画多尺度平移伪框架的特征.建立广义多分辩结构的塔式分解格式,给出塔式分解格式存在的充要条件,得到平方可积函数空间的函数仿射框架展式.The concept of multi-scale translation pseudo-frames was introduced.By virtue of operator theory and filter theory,multi-scaled translation pseudo-frames were characterized.The pyramid decomposition format of a generalized multi-resolution structure was set up.A necessary and sufficient condition for the existence of the pyramid decomposition format was given.Therefore,affine pseudo-frame expansions of functions in quadratic integrable function space were obtained.

关 键 词：贝塞尔序列 子空间框架 平移伪框架 滤波器函数 仿射伪框架 塔式分解格式 

分 类 号：O174.2[理学—数学]