Reconstruction of an Analytic Function from a Sequence of Values: Existence and Regularization
https://doi.org/10.1007/978-1-4613-0221-6_8Publisher, magazine: ,
Publication year: 2004
Lưu Trích dẫn Chia sẻAbstract
The authors consider the problem of recovering a holomorphic function defined in a domain Ω of the complex plane from its values at an infinite sequence of points (z n ) in Ω converging to a point in Ω. The problem, which is ill-posed, is regularized by various methods. Necessary and sufficient conditions for existence are given.
Tags: Lagrange interpolation; holomorphic function; Hardy space; moment problem; truncated expansion; inverse problem; regularization
Các bài viết liên quan đến tác giả Lê Vy Khoi
Reconstruction of an Analytic Function from a Sequence of Values: Existence and Regularization