On slice polyanalytic functions of a quaternionic variable
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2018
- DOI:
- 10.48550/arXiv.1812.07018
- arXiv:
- arXiv:1812.07018
- Bibcode:
- 2018arXiv181207018A
- Keywords:
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- Mathematics - Complex Variables
- E-Print:
- A Corrigendum to the previous version is contained at the end of the paper