Document Type
Article
Publication Date
7-31-2020
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.
Recommended Citation
D. Alpay, A. Pinhas, and V. Vinnikov. de Branges spaces on compact Riemann surfaces and a Beurling-Lax type theorem. Advances in Math., 373:107315, 2020.
https://doi.org/10.1016/j.aim.2020.107315
Peer Reviewed
1
Copyright
Elsevier
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Comments
NOTICE: this is the author’s version of a work that was accepted for publication in Advances in Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Advances in Mathematics, volume 373, in 2020. https://doi.org/10.1016/j.aim.2020.107315
The Creative Commons license below applies only to this version of the article.