Acta Mathematica Vietnamica
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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 TRONGpp. 307-320
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.