de Branges spaces on compact Riemann surfaces and a Beurling-Lax type theorem Academic Article uri icon

abstract

  • Using the notion of commutative operator vessels, this work investigates de Branges-Rovnyak spaces whose elements are multiplicative sections of a line bundle on a real compact 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. Subjects: Complex Variables (math. CV) MSC classes: 47A48, 47B32, 46E22 Cite as: arXiv: 1806.08670 [math. CV](or arXiv: 1806.08670 v1 [math. CV] for this version) Submission history From: Daniel Alpay A [view email][v1] Fri, 22 Jun 2018 13: 53: 52 GMT (41kb)

publication date

  • June 22, 2018