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|Title:||Construction of schauder decomposition on banach spaces of periodic functions||Authors:||Goh, S.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||URI:||http://scholarbank.nus.edu.sg/handle/10635/103054||ISSN:||00130915|
|Appears in Collections:||Staff Publications|
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