Herglotz functions of several quaternionic variables

Khaled Abu-Ghanem, Daniel Alpay, Fabrizio Colombo, Izchak Lewkowicz, Irene Sabadini

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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.

Original languageEnglish
Pages (from-to)169-182
Number of pages14
JournalJournal of Mathematical Analysis and Applications
Issue number1
StatePublished - 1 Oct 2018


  • Gleason's problem
  • Herglotz functions
  • Several complex variables
  • Several quaternionic variables

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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