de Branges Rovnyak spaces and Schur functions: The hyperholomorphic case

Daniel Alpay, Michael Shapiro, Dan Volok

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

We extend to the hyperholomorphic case the notion of Schur functions and the corresponding realization theory. We introduce the notion of characteristic operator function for coisometric colligations between Hilbert spaces of hyperholomorphic functions. We show that every Schur function is the characteristic operator function of a coisometric colligation and vice-versa.

Original languageEnglish
Pages (from-to)437-442
Number of pages6
JournalComptes Rendus Mathematique
Volume338
Issue number6
DOIs
StatePublished - 15 Mar 2004

ASJC Scopus subject areas

  • Mathematics (all)

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