On the Nevanlinna-Pick interpolation problem for generalized stieltjes functions View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1998-12

AUTHORS

D. Alpay, V. Bolotnikov, A. Dijksma

ABSTRACT

The solutions of the Nevanlinna-Pick interpolation problem for generalized Stieltjes matrix functions are parametrized via a fractional linear transformation over a subset of the class of classical Stieltjes functions. The fractional linear transformation of some of these functions may have a pole in one or more of the interpolation points, hence not all Stieltjes functions can serve as a parameter. The set of excluded parameters is characterized in terms of the two related Pick matrices. More... »

PAGES

379-408

References to SciGraph publications

  • 1993. The two-sided Nevanlinna-Pick problem in the Stieltjes class in CONTRIBUTIONS TO OPERATOR THEORY AND ITS APPLICATIONS
  • 1997. Notes on a Nevanlinna-Pick interpolation problem for generalized Nevanlinna functions in TOPICS IN INTERPOLATION THEORY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01257874

    DOI

    http://dx.doi.org/10.1007/bf01257874

    DIMENSIONS

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