1. Fock and Hardy spaces: Clifford Appell case.
- Author
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Alpay, Daniel, Diki, Kamal, and Sabadini, Irene
- Subjects
- *
HARDY spaces , *FOCK spaces , *HILBERT space , *FUNCTION spaces , *REAL numbers , *POLYNOMIALS - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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