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

Published 6 Sep 2012 in math.FA and math.CA | (1209.1378v1)

Abstract: 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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