Skip to main content
SpringerLink
Log in

Multiple Orthogonal Polynomials on the Unit Circle

  • Published:
Constructive Approximation Aims and scope

Abstract

We introduce multiple orthogonal polynomials on the unit circle. We show how this is related to simultaneous rational approximation to Caratheodory functions (two-point Hermite-Pade approximation near zero and near infinity). We give a Riemann-Hilbert problem for which the solution is in terms of type I and type II multiple orthogonal polynomials on the unit circle, and recurrence relations are obtained from this Riemann-Hilbert problem. Some examples are given to give an idea of the behavior of the zeros of type II multiple orthogonal polynomials.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Departamento de Matematicas y Computacion, Universidad de La Rioja, ES-26004 Logrono, Spain

    Judit Minguez Ceniceros

  2. Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, BE-3001 Leuven, Belgium

    Walter Van Assche

Authors
  1. Judit Minguez Ceniceros
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Walter Van Assche
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ceniceros, J., Van Assche, W. Multiple Orthogonal Polynomials on the Unit Circle. Constr Approx 28, 173–197 (2008). https://doi.org/10.1007/s00365-007-0680-2

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00365-007-0680-2

Keywords

Search

Navigation