Reconstruction of analytic functions on the unit disc from a sequence of moments: Regularization and error estimates Nguyen Vu Huy, Nguyen Van Nhan and Dang Duc Trong Abstract      We consider the problem of reconstructing a function in the Hardy space $H^2(U)$ on the unit disc $U$ of the complex plane from a sequence of moments. The problem, which is ill-posed, is regularized by polynomials and error estimates are given.