摘要
在ηjk Auj=ηjkf方程的进一步探讨中 ,将尺度函数φj(x)用乘积空间中勒让德正交多项式展开 ,克服了理论研究中φj(x)不能写出具体解析表达式的困难 ;并且证明了解方程 Qj Auj =Qjf等价于解方程ηjk Auj=ηjkf .
In our further discussion of the equation η j kAu j=η j kf, the scale functions φ j(x) which usually have no analytic expressions are now expanded in terms of the orthogonal polynomial of product space. Some difficulties have been overcome. Moreover, it is proved that the solving equation of Q j kAu j=Q j kf is equivalent to the solving equation of η j kAu j=η j kf.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2001年第4期9-14,共6页
Journal of Lanzhou University(Natural Sciences)
基金
甘肃省自然科学基金 (ZR- 97- 0 30 )资助项目 .
关键词
n维环面
周期函数
伪微算子
伪微分算子方程
勒让德正交多项式
尺度函数
解
n dimensional tours
periodic function
pseudo differential operator
pseudo differential operator equation
Legendre orthogonal polynomial
