Publication [6.8] of Tomás Oliveira e Silva

Reference

Tomás Oliveira e Silva, "A n-Width Result for the Generalized Orthonormal Basis Function Model," Preprints of the 13th World Congress of the International Federation of Automatic Control, vol. I, pp. 375-380, 1996.

Abstract

In this paper we apply the Kolmogorov n-width concept to a model set based on the so-called generalized orthonormal basis functions (GOBFs), recently developed by Heuberger and co-workers. The main result of this paper is the characterization of the subset of H^2(C^+) for which the GOBFs are optimal in the Kolmogorov n-width sense. It turns out that each function of this subset is analytic outside a region of the complex plane that depends only on the poles of the GOBFs and on a parameter that defines the size of the region of non-analyticity.

BibTeX entry

@InProceedings
{
  Oliveira.e.Silva-1996-1-NWGOBF,
  author = {Oliveira e Silva, Tom{\'a}s},
  title = {A $n$-Width Result for the Generalized Orthonormal Basis Function
          Model},
  booktitle = {Preprints of the 13th World Congress of the International
              Federation of Automatic Control},
  year = {1996},
  volume = {I},
  pages = {375--380},
  address = {San Francisco, USA}
}