Greedy wavelet projections are bounded on BV

Let BV = BV(IR d ) be the space of functions of bounded variation on IR d with d ≥ 2. Let λ, � ∈ �, be a wavelet system of compactly supported functions normalized in BV, i.e. | λ| BV(IR d ) = 1, � ∈ �. Each f ∈ BV has a unique wavelet

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