English

Fourier-Pad\'e approximants for Angelesco systems

Classical Analysis and ODEs 2016-08-16 v1

Abstract

In this paper we study linear and non-linear Fourier-Pad\'e approximation for Angelesco systems of functions. This construction is similar to that of Hermite-Pad\'e approximation. Instead of considering power series expansions of the functions in the system, we take their expansion in a series of orthogonal polynomials.

Keywords

Cite

@article{arxiv.math/0510611,
  title  = {Fourier-Pad\'e approximants for Angelesco systems},
  author = {M. Bello-Hernández and G. López-Lagimasino and J. Mínguez-Ceniceros},
  journal= {arXiv preprint arXiv:math/0510611},
  year   = {2016}
}