准正交基与准正交变换  

THE ALMOST-ORTHOGONAL BASIS AND ALMOST-ORTHOGONAL TRANSFORMATION

作　　者：袁晖坪[1] 

机构地区：[1]渝州大学数学系,重庆400033

出　　处：《数学理论与应用》2001年第3期17-21,共5页Mathematical Theory and Applications

基　　金：重庆市教委科学基金资助项目 (970 10 2 )

摘　　要：利用内积给出了准正交基、准正交变换与准对合变换的概念 ,研究了它们的性质及其之间的联系 ,获得了许多新的结果 ,推广了正交基、正交变换、对合变换的概念、性质以及张禾瑞、郝新。Use inner product having given the concept of almost-orthogonal basis ,almost-orthogonal transformation and almost-convolution transformation , and their properties and relations is studied , and many new results have been obtained, and the concept and properties of orthogonal basis and orthogonal transformation and convolution transformation and the related result of Zhang Herui and Hao Bingxing and Zou Benqiang is generalized.

关 键 词：内积 准正交基 准正交变换 准对合变换 正交矩阵 线性变换 

分 类 号：O151.21[理学—数学]