Interpolation problems, extensions of symmetric operators and reproducing kernel spaces II

Daniel Alpay, Piet Bruinsma, Aad Dijksma, Henk de Snoo

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

The aim of part I and this paper is to study interpolation problems for pairs of matrix functions of the extended Nevanlinna class using two different approaches and to make explicit the various links between them. In part I we considered the approach via the Kreîn-Langer theory of extensions of symmetric operators. In this paper we adapt Dym's method to solve interpolation problems by means of the de Branges theory of Hilbert spaces of analytic functions. We also show here how the two solution methods are connected.

Original languageEnglish
Pages (from-to)465-500
Number of pages36
JournalIntegral Equations and Operator Theory
Volume14
Issue number4
DOIs
StatePublished - 1 Jul 1991
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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