A Schur transformation for functions in a general class of domains

Daniel Alpay, Aad Dijksma, Heinz Langer, Dan Volok

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


In this paper we present a framework in which the Schur transformation and the basic interpolation problem for generalized Schur functions, generalized Nevanlinna functions and the like can be studied in a unified way. The basic object is a general class of functions for which a certain kernel has a finite number of negative squares. The results are based on and generalize those in previous papers of the first three authors on the Schur transformation in an indefinite setting.

Original languageEnglish
Pages (from-to)921-969
Number of pages49
JournalIndagationes Mathematicae
Issue number4
StatePublished - 1 Dec 2012


  • Basic boundary interpolation problem
  • Basic interpolation problem
  • Elementary factor
  • Generalized Nevanlinna function
  • Generalized Schur function
  • Linear fractional transformation
  • Meromorphic function
  • Pontryagin space
  • Projective representation
  • Reproducing kernel
  • Schur transformation

ASJC Scopus subject areas

  • General Mathematics


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