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Title: Construction of schauder decomposition on banach spaces of periodic functions
Authors: Goh, S.S. 
Lee, S.L. 
Shen, Z. 
Tang, W.S. 
Issue Date: 1998
Citation: Goh, S.S.,Lee, S.L.,Shen, Z.,Tang, W.S. (1998). Construction of schauder decomposition on banach spaces of periodic functions. Proceedings of the Edinburgh Mathematical Society 41 (1) : 61-91. ScholarBank@NUS Repository.
Abstract: This paper deals with Schauder decompositions of Banach spaces X2x of 2π-periodic functions by projection operators Pk onto the subspaces Vk, k = 0,1,..., which form a multiresolution of X2x. The results unify the study of wavelet decompositions by orthogonal projections in the Hilbert space L2x 2 on one hand and by interpolatory projections in the Banach space C2x on the other. The approach, using "orthogonal splines", is constructive and leads to the construction of a Schauder decomposition of X2x and a biorthogonal system for X2x and its dual X2x*. Decomposition and reconstruction algorithms are derived from the construction.
Source Title: Proceedings of the Edinburgh Mathematical Society
ISSN: 00130915
Appears in Collections:Staff Publications

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