INTERPOLATION PROBLEMS, EXTENSIONS OF SYMMETRICAL OPERATORS AND REPRODUCING KERNEL SPACES .2.

D ALPAY, A DIJKSMA, H DESNOO

    Research output: Contribution to journalArticleAcademicpeer-review

    23 Citations (Scopus)

    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 Krein-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
    Publication statusPublished - Jul-1991

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