Meromorphic continuation of functions and arbitrary distribution of interpolation points

  1. Bello Hernández, M. 1
  2. De la Calle Ysern, B. 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad Politécnica de Madrid
    info

    Universidad Politécnica de Madrid

    Madrid, España

    ROR https://ror.org/03n6nwv02

Zeitschrift:
Journal of Mathematical Analysis and Applications

ISSN: 0022-247X

Datum der Publikation: 2013

Ausgabe: 403

Nummer: 1

Seiten: 107-119

Art: Artikel

DOI: 10.1016/J.JMAA.2013.02.014 SCOPUS: 2-s2.0-84875593823 WoS: WOS:000317255800011 arXiv: 1211.5573v1 GOOGLE SCHOLAR lock_openOpen Access editor

Andere Publikationen in: Journal of Mathematical Analysis and Applications

Institutionelles Repository: lock_openOpen Access Editor lock_openOpen Access Postprint

Zusammenfassung

We characterize the region of meromorphic continuation of an analytic function f in terms of the geometric rate of convergence on a compact set of sequences of multi-point rational interpolants of f. The rational approximants have a bounded number of poles and the distribution of interpolation points is arbitrary. © 2013 Elsevier Ltd.