Translation operator in noncommutative space and a set of complete states of orthogonality and normalization 非对易空间平移算符及其正交归一完备态集合
On the limit of iterates of rth derivative of translation SBK operator 关于SBK平移算子r阶导数的迭代极限
Two-parameter Markov processes Defined by Translation Operator and Their Stopping Point Transformation 用推移算子定义的两指标马氏过程及其停点变换
Through defining translation operator and difference operator and using method of Lax pair, the correct form of the system of KP difference/? differential equations has been found out. 通过定义平移算子和差分算子,并利用Lax配对的方法,找到了KP差分-微分方程组的正确形式。
The main contributions are as follows: I. Based on wavelet inverse translation, the multiscale models are built on infinite lattice. The infinite lattice is defined as dyadic tree strictly and a scale-to-scale relationship is specified by the shift operator. 论文的主要贡献如下:1.以小波逆变换为基础在无限网格上建立了多尺度模型,网格被严格定义为二叉树形式,用移动算子来表示尺度之间的递推关系。