This is a preview. Log in through your library . Abstract The problem of reconstructing a piecewise constant function from a finite number of its Fourier coefficients perturbed by noise is considered.

For a large class of piecewise expanding 𝒞 1,1 maps of the interval we prove the Lasota-Yorke inequality with a constant smaller than the previously known 2/ inf |τ′|. Consequently, the stability ...