On the bitangential interpolation problem for contractive valued functions in the polydisk

  • Daniel Alpay
  • , Joseph A. Ball
  • , Vladimir Bolotnikov

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We solve the bitangential interpolation problem with a finite number of interpolating points for the multivariable analogue of the Schur class introduced by J. Agler. The description of all solutions is parametrized by a Redheffer transform whose entries are given explicitly in terms of the interpolation data.

Original languageEnglish
Pages (from-to)277-301
Number of pages25
JournalJournal of Operator Theory
Volume44
Issue number2
StatePublished - 1 Jan 1998

Keywords

  • Contour integral interpolation conditions
  • Linear fractional parametrization
  • Multidimensional unitary system
  • Transfer or characteristic function

ASJC Scopus subject areas

  • Algebra and Number Theory

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