Nikishin systems are perfect. Case of unbounded and touching supports
Complex Variables
2010-09-13 v1 Classical Analysis and ODEs
Abstract
K. Mahler introduced the concept of perfect systems in the theory of simultaneous Hermite-Pad\'{e} approximation of analytic functions. Recently, we proved that Nikishin systems, generated by measures with bounded support and non-intersecting consecutive supports contained on the real line, are perfect. Here, we prove that they are also perfect when the supports of the generating measures are unbounded or touch at one point. As an application, we give a version of Stieltjes' theorem in the context of simultaneous Hermite-Pad\'e approximation.
Keywords
Cite
@article{arxiv.1009.1922,
title = {Nikishin systems are perfect. Case of unbounded and touching supports},
author = {Fidalgo Prieto and Ulises and G. López Lagomasino},
journal= {arXiv preprint arXiv:1009.1922},
year = {2010}
}
Comments
26 pages