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

Orthogonality in Banach spaces and orthogonal multiscale L^1-approximation
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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.
出处 《Chinese Science Bulletin》 SCIE EI CAS 1999年第1期25-35,共11页
关键词 BANACH SPACES ORTHOGONALITY APPROXIMATION multiscale analysis. Banach spaces orthogonality approximation multiscale analysis
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