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arxiv: 1209.1378 · v1 · pith:KXX63WH6new · submitted 2012-09-06 · 🧮 math.FA · math.CA

On the Convergence of a Weak Greedy Algorithm for the Multivariate Haar Basis

classification 🧮 math.FA math.CA
keywords greedyweakbasisconvergencehaarmultivariatealgorithmalgorithms
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We define a family of weak thresholding greedy algorithms for the multivariate Haar basis for $L_1[0,1]^d$ ($d \ge 1$). We prove convergence and uniform boundedness of the weak greedy approximants for all $f \in L_1[0,1]^d$.

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