On Slice Polyanalytic Functions of a Quaternionic Variable

Authors

Daniel Alpay, Chapman UniversityFollow
Kamal Diki, Istituto Nazionale di Alta Matematica
Irene Sabadini, Politecnico di Milano

Document Type

Article

Publication Date

1-2-2019

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.

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Results in Mathematics, volume 74, in 2019 following peer review. The final publication is available at Springer via DOI: 10.1007/s00025-018-0942-2.

Online access to this article has been shared by the author(s) via Springer Nature SharedIt.

Recommended Citation

Alpay, D., Diki, K. & Sabadini, I. Results Math (2019) 74: 17. https://doi.org/10.1007/s00025-018-0942-2

Peer Reviewed

1

Copyright

Springer