Orthogonality in Banach spaces and orthogonal multiscale L^1-approximation  

作　　者：YANG LihuaDepartment of Scientific Computing and Computer Applications, School of Mathematics and Computing Science, Zhongshan (Sun Yatsen) University, Guangzhou 510275, China Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China 

出　　处：《Chinese Science Bulletin》1999年第1期25-35,共11页

摘　　要：The orthogonality in Hilbert spaces is extended to the general Banach spaces and a concrete shift-invariant orthogonal family in L^1(R) is constructed. The corresponding projection approximation theorems and the algorithms for signal decomposition and reconstruction are established.The orthogonality in Hilbert spaces is extended to the general Banach spaces and a concrete shift-invariant orthogonal family inL 1(R) is constructed. The corresponding projection approximation theorems and the algorithms for signal decomposition and reconstruction are established.

关 键 词：BANACH SPACES ORTHOGONALITY APPROXIMATION multiscale analysis. 

分 类 号：O177.2[理学—数学]