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.

Let X = {X t : t ≥ 0} be a stationary piecewise continuous ℝ d -valued process that moves between jumps along the integral curves of a given continuous vector field, and let S ᑕ ℝ d be a smooth ...