Stable Summation of Orthogonal Series with Noisy Coefficients


We study the recovery of continuous functions from Fourier coefficients with respect to certain given orthonormal systems, blurred by noise. For deterministic noise this is a classical ill–posed problem. Emphasis is laid on a priori smoothness assumptions on the solution, which allows to apply regularization to reach the best possible accuracy. Results are… (More)
DOI: 10.1006/jath.2002.3710