The problem of reconstructing a piecewise constant function from a finite number of its Fourier coefficients perturbed by noise is considered. A reconstruction method, based on the computation of the ...

Let Ω ⊂ ℝp, p ϵ ℕ* be a nonempty subset and B (Ω) be the Branch lattice of all bounded real functions on a Ω, equipped with sup norm. Let 𝑋 ⊂ 𝐵 (Ω) be a linear sublattice of 𝐵 (Ω) and 𝐴: 𝑋 → 𝑋 ...