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