分数阶严格半正交多重仿射框架的特征  

Characteristics of strictly semi-orthogonal fractional multiple affine frames

作　　者：王慧 邱进凌 WANG Hui;QIU Jin-ling(Normal School,Nanyang Institute of Technology,Nanyang 473000,China)

机构地区：[1]南阳理工学院师范学院,河南南阳473000

出　　处：《兰州理工大学学报》2018年第4期157-161,共5页Journal of Lanzhou University of Technology

基　　金：河南省自然科学基金(102300410022)

摘　　要：研究分数阶严格半正交的多重仿射框架的特征.运用时频分析与泛函分析,研究空间L^2(R)的半正交的巴塞尔分数阶多重仿射框架与它的闭子空间Wθ0的巴塞尔分数阶多重仿射框架之间的联系,给出空间L^2(R)的巴塞尔分数阶多重仿射框架是半正交框架的充要条件.简化了L^2(R)中的函数族成为严格半正交的分数阶多重仿射框架的判定条件.The characteristics of a strictly semi orthogonal fractional multiple affine frame is researched. The relationship of semi orthogonal Parseval fractional multiple affine frame of space L^2 （R） with Parseval fractional multiple affine frame of its closed subspace W{ is studied by using time frequency analysis and functional analysis. The sufficient and necessary condition is given for the Parseval fractional multiple af fine frame of space L^2（R） to become a semi orthogonalframe. The discriminatory condition for afamilyof functions in L^2 （R） to become the strictly semi orthogonal fractional multiple affine frame is simplified.

关 键 词：严格半正交框架 巴塞尔仿射框架 分数阶仿射框架 广义多分辨分析 时频分析 多重仿射框架 

分 类 号：O174.2[理学—数学]