Fock and Hardy Spaces: Clifford Appell Case

Authors

Daniel Alpay, Chapman UniversityFollow
Kamal Diki, Politecnico di Milano
Irene Sabadini, Politecnico di MilanoFollow

Document Type

Article

Publication Date

4-12-2022

Abstract

In this paper, we study a specific system of Clifford–Appell polynomials and, in particular, their product. Moreover, we introduce a new family of quaternionic reproducing kernel Hilbert spaces in the framework of Fueter regular functions. The construction is based on a general idea which allows us to obtain various function spaces by specifying a suitable sequence of real numbers. We focus on the Fock and Hardy cases in this setting, and we study the action of the Fueter mapping and its range.

Comments

This article was originally published in Mathematische Nachrichten in 2022. https://doi.org/10.1002/mana.202000359

Recommended Citation

Alpay, D, Diki, K, Sabadini, I. Fock and Hardy spaces: Clifford Appell case. Mathematische Nachrichten. 2022; 1– 27. https://doi.org/10.1002/mana.202000359

Peer Reviewed

1

Copyright

The authors

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.