Document Type
Article
Publication Date
7-25-2020
Abstract
This paper is a continuation of the research of our previous work[5] and considers quaternionic generalized Carathéodory functions and the related family of generalized positive functions. It is addressed to a wide audience which includes researchers in complex and hypercomplex analysis, in the theory of linear systems, but also electric engineers. For this reason it includes some results on generalized Carathéodory functions and their factorization in the classic complex case which might be of independent interest. An important new result is a pseudo-spectral factorization and we also discuss some interpolation problems in the class of quaternionic generalized positive functions.
Recommended Citation
D. Alpay, F. Colombo, I. Lewkowicz, and I. Sabadini. On pseudo-spectral factorization over the complex numbers and quaternions. Linear Algebra and its Applications, 606:90-126, 2020. https://doi.org/10.1016/j.laa.2020.07.026
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 606, in 2020. https://doi.org/10.1016/j.laa.2020.07.026
The Creative Commons license below applies only to this version of the article.