Herglotz Functions of Several Quaternionic Variables

Authors

Khaled Abu-Ghanem, Achva College
Daniel Alpay, Chapman UniversityFollow
Fabrizio Colombo, Politecnico di Milano
Izchak Lewkowicz, Ben Gurion University of the Negev
Irene Sabadini, Politecnico di Milano

Document Type

Article

Publication Date

5-29-2018

Abstract

We first review realizations of Herglotz functions in the unit ball of C^N and provide new insights. Then, we define the corresponding class and prove the extend the results in the case of several quaternionic variables.

Comments

NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Mathematical Analysis and 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 Journal of Mathematical Analysis and Applications, volume 166, issue 1, in 2018. DOI: 10.1016/j.jmaa.2018.05.066

The Creative Commons license below applies only to this version of the article.

Recommended Citation

Kh. Abu-Ghanem, D. Alpay, F. Colombo, I. Lewkowicz, and I. Sabadini. Herglotz functions of several quaternionic variables. J. Math. Anal. Appl., 466(1):169-182, 2018. doi: 10.1016/j.jmaa.2018.05.066

Peer Reviewed

1

Copyright

Elsevier

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.