Fock and Hardy spaces: Clifford-Appell case
Complex Variables
2021-03-08 v2
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 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.
Keywords
Cite
@article{arxiv.2011.03159,
title = {Fock and Hardy spaces: Clifford-Appell case},
author = {Daniel Alpay and Kamal Diki and Irene Sabadini},
journal= {arXiv preprint arXiv:2011.03159},
year = {2021}
}
Comments
30 pages. Accepted, to appear in Math. Nachr