Some integral representations of slice hyperholomorphic functions

Fabrizio Colombo, J. Oscar González-Cervantes, Irene Sabadini

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

In this paper we prove the analog of the Schwarz integral formula as well as other integral representations for slice monogenic functions. The key tool to establish these formulas is a suitable decomposition of slice monogenic functions. All the results that are stated in the case of slice monogenic functions hold also for slice regular functions of a quaternionic variable.

Original languageEnglish
Pages (from-to)473-489
Number of pages17
JournalMoscow Mathematical Journal
Volume14
Issue number3
DOIs
StatePublished - 1 Jul 2014

Keywords

  • Harnack inequalities
  • Schwarz integral formula
  • Slice monogenic functions

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