RECONSTRUCTION OF ANALYTIC FUNCTIONS ON THE UNIT DISC FROM A SEQUENCE OF MOMENTS: REGULARIZATION AND ERROR ESTIMATES
NGUYEN VU HUY, NGUYEN VAN NHAN, DANG DUC TRONG
Abstract
We consider the problem of reconstructing a function in the Hardy space on the unit disc of the complex plane from a sequence of moments. The problem, which is ill-posed, is regularized by polynomials and error estimates are given.