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- W2128590502 abstract "This paper deals with Schauder decompositions of Banach spaces X 2π of 2π-periodic functions by projection operators P k onto the subspaces V k , k = 0,1,…, which form a multiresolution of X 2π ,. The results unify the study of wavelet decompositions by orthogonal projections in the Hilbert space on one hand and by interpolatory projections in the Banach space C 2π on the other. The approach, using “orthogonal splines”, is constructive and leads to the construction of a Schauder decomposition of X 2π and a biorthogonal system for X 2π , and its dual X 2π . Decomposition and reconstruction algorithms are derived from the construction." @default.
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- W2128590502 date "1998-02-01" @default.
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- W2128590502 title "Construction of Schauder decomposition on banach spaces of periodic functions" @default.
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- W2128590502 doi "https://doi.org/10.1017/s001309150001943x" @default.
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