Reconstruction of analytic functions on the unit disc from a sequence of moments: regularization and error estimates

Authors: Nguyễn Vũ Huy, Đặng Đức Trọng, Nguyễn Văn Nhân,

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Publisher, magazine: ,

Publication year: 2002

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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.

Tags: Hardy space on unit disc, moments, ill-posed, regularization, error estimates