Inverse Theorem on Row Sequences of Linear Pad\'e-orthogonal Approximation
Complex Variables
2014-11-27 v1
Abstract
We give necessary and sufficient conditions for the convergence with geometric rate of the denominators of linear Pad\'e-orthogonal approximants corresponding to a measure supported on a general compact set in the complex plane. Thereby, we obtain an analogue of Gonchar's theorem on row sequences of Pad\'e approximants.
Cite
@article{arxiv.1411.7056,
title = {Inverse Theorem on Row Sequences of Linear Pad\'e-orthogonal Approximation},
author = {N. Bosuwan and G. López Lagomasino},
journal= {arXiv preprint arXiv:1411.7056},
year = {2014}
}
Comments
28 pages