Geodesic
On the rate of convergence of orthorecursive expansions over non-orthogonal wavelets
Izvestiya. Mathematics , Tome 76 (2012) no. 4, pp. 688-701.

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We consider orthorecursive expansions (a generalization of orthogonal series) over families of non-orthogonal wavelets formed by the dyadic dilations and integer shifts of a given function $\varphi$. We estimate the rate of convergence of such expansions under some fairly relaxed restrictions on $\varphi$ and give examples of these estimates in some concrete cases.
Keywords: orthorecursive expansion, wavelets, Parseval's identity, greedy algorithm, rate of convergence, computational stability, Faber–Schauder system. 
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A. Yu. Kudryavtsev. On the rate of convergence of orthorecursive expansions over non-orthogonal wavelets. Izvestiya. Mathematics , Tome 76 (2012) no. 4, pp. 688-701. http://geodesic.mathdoc.fr/item/IM2_2012_76_4_a3/

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