de Branges spaces on compact Riemann surfaces and a Beurling-Lax type theorem
Complex Variables
2020-07-15 v3
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.
Keywords
Cite
@article{arxiv.1806.08670,
title = {de Branges spaces on compact Riemann surfaces and a Beurling-Lax type theorem},
author = {Daniel Alpay and Ariel Pinhas and Victor Vinnikov},
journal= {arXiv preprint arXiv:1806.08670},
year = {2020}
}
Comments
To appear in Advances in Mathematics