On Slice Polyanalytic Functions of a Quaternionic Variable

Daniel Alpay, Kamal Diki, Irene Sabadini

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

In this paper, we introduce the quaternionic slice polyanalytic functions and we prove some of their properties. Then, we apply the obtained results to begin the study of the quaternionic Fock and Bergman spaces in this new setting. In particular, we give explicit expressions of their reproducing kernels.

Original languageEnglish
Article number17
JournalResults in Mathematics
Volume74
Issue number1
DOIs
StatePublished - 1 Mar 2019
Externally publishedYes

Keywords

  • Bergman spaces
  • Fock spaces
  • quaternions
  • slice polyanalytic functions

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