de Branges spaces on compact Riemann surfaces and a Beurling-Lax type theorem

Daniel Alpay, Ariel Pinhas, Victor Vinnikov

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Using the notion of commutative operator vessels, this work investigates de Branges-Rovnyak spaces whose elements are sections of a line bundle of multiplicative half-order differentials on a compact real Riemann surface. As a special case, we obtain a Beurling-Lax type theorem in the setting of the corresponding Hardy space on a finite bordered Riemann surface.

Original languageEnglish
Article number107315
JournalAdvances in Mathematics
Volume373
DOIs
StatePublished - 28 Oct 2020

Keywords

  • Beurling-Lax theorem
  • Compact Riemann surface
  • Joint transfer function
  • Operator vessels
  • de Branges Rovnyak spaces

ASJC Scopus subject areas

  • Mathematics (all)

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