子带算子的界估计（英文）  

The Bounds of Sub-band Operators

作　　者：邹庆云[1,2] 王国秋[2] 

机构地区：[1]湖南文理学院数学学院,湖南常德415000 [2]湖南师范大学数学与计算机科学学院,湖南长沙410081

出　　处：《应用数学》2015年第4期900-908,共9页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11171103);the Hunan Education Office Science Foundation of China(13C624);the Construction Program of the Key Discipline in Hunan University of Arts and Science-Applied Mathematics

摘　　要：本文给出d带双正交小波子带算子的定义,通过发展d-循环矩阵理论,得到子带算子的界就是循环矩阵谱半径的极限以及子带算子的界估计,并且通过实例来验证得到的结论.A concept of sub-band operator is introduced, a d-circular matrix method is developed and the exact bounds of the sub-band operators are obtained. An example is provided to illustrate the proposed results in this paper.

关 键 词：子带算子 循环矩阵 多带小波 界估计 双正交性 

分 类 号：O174.2[理学—数学]