Document Type
Article
Publication Date
5-3-2017
Abstract
We give a generalization of the Beurling–Lax theorem both in the complex and quaternionic settings. We consider in the first case functions meromorphic in the right complex half-plane, and functions slice hypermeromorphic in the right quaternionic half-space in the second case. In both settings we also discuss a unified framework, which includes both the disk and the half-plane for the complex case and the open unit ball and the half-space in the quaternionic setting.
Recommended Citation
Alpay, D., Sabadini, I., 2017. Beurling–Lax type theorems in the complex and quaternionic setting. Linear Algebra and its Applications 530, 15–46. doi:10.1016/j.laa.2017.04.037
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 Linear Algebra and its Applications. 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 Linear Algebra and its Applications, volume 530, in 2017. DOI: 10.1016/j.laa.2017.04.037
The Creative Commons license below applies only to this version of the article.