Orthogonality in Banach spaces and orthogonal multiscaleL
1-approximation |
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| Authors: | Lihua Yang |
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| Institution: | YANG Lihua
Department 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 |
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| Abstract: | The orthogonality in Hilbert spaces is extended to the general Banach spaces and a concrete shift-invariant orthogonal family in L1(R) is constructed. The corresponding projection approximation theorems and the algorithms for signal decomposition and reconstruction are established. |
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| Keywords: | Banach spaces orthogonality approximation multiscale analysis |
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